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Our research directions

The research focuses of the QAR-Lab are quantum optimization and quantum artificial intelligence. We are also currently working on a software platform of Aqarios GmbH for uniform and easy access to quantum hardware.

Research at QAR-Lab:

Published Research
Ongoing Research

Published Research

All Quantum Optimization Quantum Artificial Intelligence Quantum Software Platform
Quality Diversity for Variational Quantum Circuit Optimization

Optimizing the architecture of variational quantum circuits (VQCs) is crucial for advancing quantum computing (QC) towards practical applications. Current methods range from static ansatz design and...

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Optimizing Sensor Redundancy in Sequential Decision-Making Problems

Reinforcement Learning (RL) policies are designed to predict actions based on current observations to maximize cumulative future rewards. In real-world applications (i.e., non-simulated...

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Investigating Parameter-Efficiency of Hybrid QuGANs Based on Geometric Properties of Generated Sea Route Graphs

The demand for artificially generated data for the development, training and testing of new algorithms is omnipresent. Quantum computing (QC), does offer the hope that its inherent probabilistic...

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Accelerated VQE: Parameter Recycling for Similar Recurring Problem Instances

Training the Variational Quantum Eigensolver (VQE) is a task that requires substantial compute. We propose the use of concepts from transfer learning to considerably reduce the training time when...

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From Problem to Solution: A General Pipeline to Solve Optimisation Problems on Quantum Hardware

On account of the inherent complexity and novelty of quantum computing (QC), as well as the expected lack of expertise of many of the stakeholders involved in its development, QC software development...

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Qandle: Accelerating State Vector Simulation Using Gate-Matrix Caching and Circuit Splitting

To address the computational complexity associated with state-vector simulation for quantum circuits, we propose a combination of advanced techniques to accelerate circuit execution. Quantum gate...

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QMamba: Quantum Selective State Space Models for Text Generation

Quantum machine learning offers novel paradigms to address limitations in traditional natural language processing models, such as fixed context lengths and computational inefficiencies. In this work,...

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Quantum Circuit Construction and Optimization through Hybrid Evolutionary Algorithms

...

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A Constant Measurement Quantum Algorithm for Graph Connectivity

We introduce a novel quantum algorithm for determining graph connectedness using a constant number of measurements. The algorithm can be extended to find connected components with a linear number of...

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Challenges for Reinforcement Learning in Quantum Circuit Design

Quantum computing (QC) in the current NISQ era is still limited in size and precision. Hybrid applications mitigating those shortcomings are prevalent to gain early insight and advantages. Hybrid...

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Towards Transfer Learning for Large-Scale Image Classification Using Annealing-Based Quantum Boltzmann Machines

Quantum Transfer Learning (QTL) recently gained popularity as a hybrid quantum-classical approach for image classification tasks by efficiently combining the feature extraction capabilities of large...

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Evidence that PUBO outperforms QUBO when solving continuous optimization problems with the QAOA

Quantum computing provides powerful algorithmic tools that have been shown to outperform established classical solvers in specific optimization tasks. A core step in solving optimization problems...

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Applying QNLP to Sentiment Analysis in Finance

As an application domain where the slightest qualitative improvements can yield immense value, finance is a promising candidate for early quantum advantage. Focusing on the rapidly advancing field of...

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NISQ-Ready Community Detection Based on Separation-Node Identification

The analysis of network structure is essential to many scientific areas ranging from biology to sociology. As the computational task of clustering these networks into partitions, i.e., solving the...

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Approximative Lookup-Tables and Arbitrary Function Rotations for Facilitating NISQ-Implementations of the HHL and Beyond

Many promising applications of quantum computing with a provable speedup center around the HHL algorithm. Due to restrictions on the hardware and its significant demand on qubits and gates in known...

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Hybrid Quantum Machine Learning Assisted Classification of COVID-19 from Computed Tomography Scans

Practical quantum computing (QC) is still in its in-fancy and problems considered are usually fairly small, especially in quantum machine learning when compared to its classical counterpart. Image...

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Influence of Different 3SAT-to-QUBO Transformations on the Solution Quality of Quantum Annealing: A Benchmark Study

To solve 3sat instances on quantum annealers they need to be transformed to an instance of Quadratic Unconstrained Binary Optimization (QUBO). When there are multiple transformations available, the...

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Pattern QUBOs: Algorithmic Construction of 3SAT-to-QUBO Transformations

One way of solving 3sat instances on a quantum computer is to transform the 3sat instances into instances of Quadratic Unconstrained Binary Optimizations (QUBOs), which can be used as an input for...

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Algorithmic QUBO formulations for k-SAT and hamiltonian cycles

Quadratic Unconstrained Binary Optimization (QUBO) can be seen as a generic language for optimization problems. QUBOs attract particular attention since they can be solved with quantum hardware, like...

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Towards Multi-Agent Reinforcement Learning using Quantum Boltzmann Machines

Reinforcement learning has driven impressive advances in machine learning. Simultaneously, quantum-enhanced machine learning algorithms using quantum annealing underlie heavy developments. Recently,...

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A Flexible Pipeline for the Optimization of Construction Trees

CSG trees are an intuitive, yet powerful technique for the representation of geometry using a combination of Boolean set-operations and geometric primitives. In general, there exists an infinite...

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Modifying the quantum-assisted genetic algorithm

Modifying the quantum-assisted genetic algorithm Thomas Gabor, Michael Lachner, Nico Kraus, Christoph Roch, Jonas Stein, Daniel Ratke, Claudia Linnhoff-Popien Abstract Based on the quantum-assisted...

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Solving Large Steiner Tree Problems in Graphs for Cost-Efficient Fiber-To-The-Home Network Expansion

Internet traffic is constantly increasing over time due to growing digitization and the increasing use of bandwidth intensive applications. Internet consumers, be it large industry, small enterprises...

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The UQ Platform: A Unified Approach To Quantum Annealing

Quantum Annealing is an algorithm for solving instances of quadratic unconstrained binary optimization (QUBO) that is implemented in hardware utilizing quantum effects to quickly find approximate...

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A Quantum Annealing Algorithm for Finding Pure Nash Equilibria in Graphical Games

A Quantum Annealing Algorithm for Finding Pure Nash Equilibria in Graphical Games Christoph Roch, Thomy Phan, Sebastian Feld, Robert Müller, Thomas Gabor, Carsten Hahn, Claudia Linnhoff-Popien...

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Approximating Archetypal Analysis Using Quantum Annealing

Approximating Archetypal Analysis Using Quantum Annealing S. Feld, C. Roch, K. Geirhos, and T. Gabor Abstract Archetypes are those extreme values of a data set that can jointly represent all other...

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The Dynamic Time Warping Distance Measure as QUBO Formulation

The Dynamic Time Warping Distance Measure as QUBO Formulation S. Feld, C. Roch, T. Gabor, M. To, and C. Linnhoff-Popien Abstract Dynamic Time Warping (DTW) is a representative of a distance measure...

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Insights on Training Neural Networks for QUBO Tasks

Insights on Training Neural Networks for QUBO Tasks T. Gabor, S. Feld, H. Safi, T. Phan, and C. Linnhoff-Popien Abstract Current hardware limitations restrict the potential when solving quadratic...

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The Holy Grail of Quantum Artificial Intelligence: Challenges in Accelerating the Machine Learning Pipeline

We discuss the synergetic connection between quantum computing and artificial intelligence. After surveying current approaches to quantum artificial intelligence and relating them to a formal model...

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Approximate Approximation on a Quantum Annealer

In this paper, we explore how problems’ approximate versions of varying degree can be systematically constructed for quantum annealer programs, and how this influences result quality or the...

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Optimizing Geometry Compression using Quantum Annealing

We describe existing Ising formulations for the maximum clique search problem and the smallest exact cover problem, both of which are important building blocks of the proposed compression pipeline....

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Torwards understanding Approximation Complexity on a Quantum Annealer (Extended Abstract)

We experimentally investigate if and how the degree of approximability influences implementation and run-time performance. Our experiments indicate a discrepancy between classical approximation...

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Integration and Evaluation of Quantum Accelerators for Data-Driven User Functions

In this work we propose a system architecture for the integration of quantum accelerators. In order to evaluate our proposed system architecture we implemented various algorithms including a...

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Cross Entropy Hyperparameter Optimization for Constrained Problem Hamiltonians Applied to QAOA

In this study we apply a Cross-Entropy method to shape this landscape, which allows the classical optimizer to find better parameter more easily and hence results in an improved performance. We...

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A Hybrid Solution Method for the Capacitated Vehicle Routing Problem Using a Quantum Annealer

This work presents a quantum-classic hybrid solution method for the CVRP. It clarifies whether the implementation of such a method pays off in comparison to existing classical solution methods...

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Quantum Technology and Optimization Problems: First International Workshop

This book comprises a section containing a keynote and four sections with scientific papers. The sessions deal with the following topics that are crucial to the development of future improvements in...

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Assessing Solution Quality of 3SAT on a Quantum Annealing Platform

We show that the phase transition regarding the computational complexity of the problem, which is well-known to occur for 3SAT on classical machines (where it causes a detrimental increase in...

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Ongoing Research

All Quantum Optimization Quantum Artificial Intelligence Quantum Software Platform
Using Evolutionary Algorithms for Quantum Circuit Optimization under Noise

Noise poses a prevalent challenge in the NISQ era of quantum computing. Its strong impact on the hardware of a quantum computer distorts the results of quantum circuits, especially with an increasing...

Continue Reading

Emergent Cooperation in Quantum Multi-Agent Reinforcement Learning Using Communication

Emergent cooperation in classical Multi-Agent Reinforcement Learning has gained significant attention, particularly in the context of Sequential Social Dilemmas. While classical reinforcement...

Continue Reading

Analyzing the Parameter Adaption of Transfer Learning in Variational Quantum Eigensolvers

With the introduction of publicly available, yet noisy, Quantum Processors, many machine learning (ML) approaches have been proposed to make the most of the new capabilities. Peruzzo et al. proposed...

Continue Reading

Exploring Entanglement-intensity in Variational Quantum Eigensolver Algorithms for Combinatorial Optimization

This work investigates the role of entanglement in the performance of the VQE, a leading algorithm for approximating ground-state energies of quantum Hamiltonians. Specifically, it explores whether...

Continue Reading

Determining links in product data using Quantum Restricted Boltzmann Machines

The increasing share of software in products not only drives innovation but also increases complexity. To minimize the risk of malfunctions in software-intensive products and ensure traceability,...

Continue Reading

Problem-Specific Entanglement in Variational Quantum Circuits

Even though entanglement is a key property of quantum mechanics, it’s not well understood, if it can play a coordinating role in the ansatz circuit of hybrid quantum optimisation algorithms. While...

Continue Reading

Emerging Cooperation through Quantum Entanglement in Multi-Agent Systems

Emerging Cooperation through Quantum Entanglement in Multi-Agent Systems Abstract: This thesis investigates the feasibility of quantum entanglement enhancing cooperation in multi-agent reinforcement...

Continue Reading

Distributed Quantum Machine Learning -Training and Evaluating a Machine Learning Model on a Distributed Quantum Computing Simulator

The training and execution of machine learning models on quantum hardware is typically limited by the number of available qubits. A potential approach to overcoming this limitation is Distributed...

Continue Reading

QUBO-Generation for (MAX-)3SAT via generative AI-Methods

Creating QUBOs for 3-SAT formulas using pattern QUBOs poses several challenges. Generating pattern QUBOs and building the QUBO structure itself is technically demanding due to the brute-force...

Continue Reading

Space-Efficient Quantum Optimization for the Traveling Salesman Problem via Binary Encoding of Feasible Solutions

The Traveling Salesperson Problem (TSP) is a classic combinatorial optimization problem with multiple applications in logistics, planning, and scheduling. Quantum algorithms, particularly the Quantum...

Continue Reading

Minimizing Teleportation and Enhancing Fidelity in Distributed Quantum Computing using a Multi-Objective Evolutionary Algorithm

Quantum computing is considered a promising technology for solving tasks that are impossible even for classical computing. However, individual quantum computers are reaching their limits due to...

Continue Reading

Evaluating Parameter-Based Training Performance of Neural Networks and Variational Quantum Circuits

In recent years, neural networks (NN) have played a central role in significant advancements in the field of machine learning. The increasing complexity of machine learning tasks leads to NNs with a...

Continue Reading

Leveraging Preconditioning to Speed Up Quantum Simulation-Based Optimization

Simulation-based optimization is computationally intensive requiring many evaluations of complex simulations to optimize an objective function. Quantum algorithms can provide a better runtime over...

Continue Reading

Warm Starting Variational Quantum Algorithms for Parameterized Combinatorial Optimization

To model physical systems, Hamiltonians usually contain parameters controlling global forces, such as magnetic fields. In contrast, Hamiltonians modeling combinatorial optimization problems (COPs)...

Continue Reading

Circuit Partitioning and Genetic Optimization for Efficient Qubit Distribution in Distributed Quantum Computing

The distribution of qubits across quantum computers may facilitate the execution of larger circuits. In Distributed Quantum Computing, qubits are distributed across multiple Quantum Processing Units,...

Continue Reading

Reinforcement learning-supported state preparation using parameterized quantum gates

This thesis investigates the application of reinforcement learning (RL) in order to optimize the state preparation in parameterized quantum circuits. By using RL algorithms, an agent is trained to...

Continue Reading

Comparison of different hybrid quantum machine learning approaches for image classification on quantum computers

This work analyzes the hybrid approaches Quanvolutional Neural Network (QCNN), Quantum Transfer Learning (QTL) and Variational Quantum Circuit (VQC). These are trained to classify the images of the...

Continue Reading

Evaluating Mutation Techniques in Genetic Algorithm-Based Quantum Circuit Synthesis

Quantum computing has the potential to solve complex problems that are intractable for classical computers, while serving as a cornerstone of next-generation systems offering extreme computational...

Continue Reading

Architectural Influence on Variational Quantum Circuits in Multi-Agent Reinforcement Learning: Evolutionary Strategies for Optimization

The field of Multi-Agent Reinforcement Learning (MARL) is becoming increasingly relevant in domains that involve the interaction of multiple agents, such as autonomous driving and robotics. One...

Continue Reading

The Trainability of Quantum FederatedLearning

The Trainability of Quantum Federated Learning Abstract: This thesis explores the implementation and evaluation of Quantum Federated Learning (QFL), where Variational Quantum Circuits (VQCs) are...

Continue Reading

Investigating the Lottery Ticket Hypothesis for Variational Quantum Circuits

Quantum computing is an emerging field in computer science that has made significant progress in recent years, including in the area of machine learning. Through the principles of quantum physics, it...

Continue Reading

State Preparation on Quantum HardwareUsing an Island Genetic Algorithm

This thesis elucidates the distinctions between the population-based and the island-based approach. These approaches differ in terms of whether the individuals are part of a single population or...

Continue Reading

Quantum Reinforcement Learning via Parameterized Quantum Walks

This work investigates random walks in grid worlds and glued trees using classical reinforcement learning strategies such as Proximal Policy Optimization or Deep Q-learning Networks. In a next step,...

Continue Reading

Explainable Time Series Forecasting using exogenous variables – How weather affects the stock market

Climate Change is real, and this has been affecting the weather all around the world. With weather conditions changing, this thesis aims to understand how weather can be used to forecast market...

Continue Reading

CUAOA: A Novel CUDA-Accelerated Simulation Framework for the Quantum Approximate Optimization Algorithm

The Quantum Approximate Optimization Algorithm (QAOA) is a prominent quantum algorithm designed to find approximate solutions to combinatorial optimization problems. In the current era, where quantum...

Continue Reading

A Path Towards Quantum Advantage for theUnit Commitment Problem

This work presents a solution to the unit commitment problem (UCP) in energy grid management, an optimization problem that involves solving a system of equations to calculate costs for a given...

Continue Reading

Towards Less Greedy Quantum Coalition Structure Generation in Induced Subgraph Games

Switching to 100 % renewable energy production is one of the most important steps societies are currently taking in combating the climate crisis. This switch however requires new techniques for the...

Continue Reading

Evaluating Metaheuristic Optimization Methods for Quantum Reinforcement Learning

Quantum Reinforcement Learning offers the potential for advantages over classical Reinforcement Learning, such as a more compact representation of the state space through quantum states. Furthermore,...

Continue Reading

Finding Arbitrage with different Quantum Algorithms

Quantum computing, a discipline that leverages the principles of quantum physics to perform complex calculations, has emerged as a transformative field since its initial conceptualization by Richard...

Continue Reading

Optimization of Variational Quantum Circuits for Hybrid Quantum Proximal Policy Optimization Algorithms

Quantum computers, which are subject to current research, offer, apart from the hope for an quantum advantage, the chance of reducing the number of used trainable parameters. This is especially...

Continue Reading

Path-Connectedness of the Boundary between Features that Are Labeled Differently by a Single Layer Perceptron

Due to the remarkable advancements in high-performance computing, machines can process an increasingly high amount of data to adjust numerous parameters in a Machine Learning model (ML model). In...

Continue Reading

Construction of quantum circuits with restricted gates

In practice, a quantum computer, like a classical computer, has only a limited set of operations. These operations, called quantum gates, are modelled by unitary transformations according to the...

Continue Reading

Efficient semi-supervised quantum anomaly detection using one-class support vector machines

Quantum computing is an emerging technology that can potentially improve different tasks in machine learning. Combining the representational power of a classically hard quantum kernel and the...

Continue Reading

Using Quantum Machine Learning to Predict Asset Prices in Financial Markets

In the financial world, a lot of effort is spent on predicting future asset prices. Gaining even a modest increase in forecasting capability can generate enormous profits. Some statistical models...

Continue Reading

A Reinforcement Learning Environment for directed Quantum Circuit Synthesis

Fueled by recent advances in quantum computing technologies, the design of optimized quantum circuits including reliable quantum state preparation are topics gaining more and more importance. Common...

Continue Reading

Quantum-Enhanced Denoising DiffusionModels

Machine learning models for generating images have gained much notoriety in the past year. DALL-E, Craiyon and Stable Diffusion can generate high-resolution images, by users simply typing a short...

Continue Reading

Dimensionality Reduction with Autoencodersfor Efficient Classification with VariationalQuantum Circuits

Quantum computing promises performance advantages, especially for data-intensive and complex computations. However, we are currently in the Noisy Intermediate-Scale Quantum era with a limited number...

Continue Reading

Approximating Quadratic Unconstrained Binary Optimization Problems using Graph Convolutional Neural Networks

The quantum annealing hardware currently available has not yet reached the stage to successfully compete with ecient heuristics on classical machines, due to limitations in size and connectivity....

Continue Reading

Application of graph partitioning algorithms and genetic algorithms to optimize teleportation costs in distributed quantum circuits.

Currently, we are in the Noisy Intermediate Scale Quantum (NISQ) era, where the number of qubits that can be used in a single quantum computer is increasing. However, with this development come...

Continue Reading

NISQ-ready community detection on weighted graphs using separation-node identification

An important optimization problem in computer science is the detection of communities. By analyzing networks, so-called communities can be found and important information in many fields - from...

Continue Reading

Influence of Embedding-Methods on the Generalization of Quantum Machine Learning

Quantum Machine Learning is a promising field of application for quantum computers. However, to see real advantages over classical computers, advanced quantum fundamentals are needed. One of the...

Continue Reading

Quantum-Multi-Agent-Reinforcement-Learning mit Evolutionärer Optimierung (en)

Multi-agent reinforcement learning is becoming increasingly important in the era of autonomous driving and other intelligent industrial applications. At the same time, a promising new approach to...

Continue Reading

Anomaly Detection using Quantum Circuit Born Machines (en)

Anomaly detection is a critical component in various fields, including finance, medical diagnosis, and fraud detection. As datasets become increasingly complex and larger, traditional computers face...

Continue Reading

Efficient Quantum Circuit Architecture for Coined Quantum Walks on many Bipartite Graphs (en)

Quantum walks, a quantum analog of classical random walks, have emerged as a powerful paradigm in quantum computation and simulation. While classical random walks rely on stochastic processes to...

Continue Reading

Analyzing Reinforcement Learning strategies from a parameterized quantum walker (en)

Reinforcement Learning has made significant progress in solving complex problems. Hence, it is not surprising that it can be found in various application domains. Quantum Computing as well is a...

Continue Reading


Using Evolutionary Algorithms for Quantum Circuit Optimization under Noise

Noise poses a prevalent challenge in the NISQ era of quantum computing. Its strong impact on the hardware of a quantum computer distorts the results of quantum circuits, especially with an increasing...

Continue Reading

Analyzing the Parameter Adaption of Transfer Learning in Variational Quantum Eigensolvers

With the introduction of publicly available, yet noisy, Quantum Processors, many machine learning (ML) approaches have been proposed to make the most of the new capabilities. Peruzzo et al. proposed...

Continue Reading

Exploring Entanglement-intensity in Variational Quantum Eigensolver Algorithms for Combinatorial Optimization

This work investigates the role of entanglement in the performance of the VQE, a leading algorithm for approximating ground-state energies of quantum Hamiltonians. Specifically, it explores whether...

Continue Reading

Problem-Specific Entanglement in Variational Quantum Circuits

Even though entanglement is a key property of quantum mechanics, it’s not well understood, if it can play a coordinating role in the ansatz circuit of hybrid quantum optimisation algorithms. While...

Continue Reading

QUBO-Generation for (MAX-)3SAT via generative AI-Methods

Creating QUBOs for 3-SAT formulas using pattern QUBOs poses several challenges. Generating pattern QUBOs and building the QUBO structure itself is technically demanding due to the brute-force...

Continue Reading

Space-Efficient Quantum Optimization for the Traveling Salesman Problem via Binary Encoding of Feasible Solutions

The Traveling Salesperson Problem (TSP) is a classic combinatorial optimization problem with multiple applications in logistics, planning, and scheduling. Quantum algorithms, particularly the Quantum...

Continue Reading

Minimizing Teleportation and Enhancing Fidelity in Distributed Quantum Computing using a Multi-Objective Evolutionary Algorithm

Quantum computing is considered a promising technology for solving tasks that are impossible even for classical computing. However, individual quantum computers are reaching their limits due to...

Continue Reading

Leveraging Preconditioning to Speed Up Quantum Simulation-Based Optimization

Simulation-based optimization is computationally intensive requiring many evaluations of complex simulations to optimize an objective function. Quantum algorithms can provide a better runtime over...

Continue Reading

Warm Starting Variational Quantum Algorithms for Parameterized Combinatorial Optimization

To model physical systems, Hamiltonians usually contain parameters controlling global forces, such as magnetic fields. In contrast, Hamiltonians modeling combinatorial optimization problems (COPs)...

Continue Reading

Circuit Partitioning and Genetic Optimization for Efficient Qubit Distribution in Distributed Quantum Computing

The distribution of qubits across quantum computers may facilitate the execution of larger circuits. In Distributed Quantum Computing, qubits are distributed across multiple Quantum Processing Units,...

Continue Reading

Evaluating Mutation Techniques in Genetic Algorithm-Based Quantum Circuit Synthesis

Quantum computing has the potential to solve complex problems that are intractable for classical computers, while serving as a cornerstone of next-generation systems offering extreme computational...

Continue Reading

Investigating the Lottery Ticket Hypothesis for Variational Quantum Circuits

Quantum computing is an emerging field in computer science that has made significant progress in recent years, including in the area of machine learning. Through the principles of quantum physics, it...

Continue Reading

State Preparation on Quantum HardwareUsing an Island Genetic Algorithm

This thesis elucidates the distinctions between the population-based and the island-based approach. These approaches differ in terms of whether the individuals are part of a single population or...

Continue Reading

Explainable Time Series Forecasting using exogenous variables – How weather affects the stock market

Climate Change is real, and this has been affecting the weather all around the world. With weather conditions changing, this thesis aims to understand how weather can be used to forecast market...

Continue Reading

CUAOA: A Novel CUDA-Accelerated Simulation Framework for the Quantum Approximate Optimization Algorithm

The Quantum Approximate Optimization Algorithm (QAOA) is a prominent quantum algorithm designed to find approximate solutions to combinatorial optimization problems. In the current era, where quantum...

Continue Reading

A Path Towards Quantum Advantage for theUnit Commitment Problem

This work presents a solution to the unit commitment problem (UCP) in energy grid management, an optimization problem that involves solving a system of equations to calculate costs for a given...

Continue Reading

Towards Less Greedy Quantum Coalition Structure Generation in Induced Subgraph Games

Switching to 100 % renewable energy production is one of the most important steps societies are currently taking in combating the climate crisis. This switch however requires new techniques for the...

Continue Reading

Evaluating Metaheuristic Optimization Methods for Quantum Reinforcement Learning

Quantum Reinforcement Learning offers the potential for advantages over classical Reinforcement Learning, such as a more compact representation of the state space through quantum states. Furthermore,...

Continue Reading

Finding Arbitrage with different Quantum Algorithms

Quantum computing, a discipline that leverages the principles of quantum physics to perform complex calculations, has emerged as a transformative field since its initial conceptualization by Richard...

Continue Reading

Optimization of Variational Quantum Circuits for Hybrid Quantum Proximal Policy Optimization Algorithms

Quantum computers, which are subject to current research, offer, apart from the hope for an quantum advantage, the chance of reducing the number of used trainable parameters. This is especially...

Continue Reading

Construction of quantum circuits with restricted gates

In practice, a quantum computer, like a classical computer, has only a limited set of operations. These operations, called quantum gates, are modelled by unitary transformations according to the...

Continue Reading

Efficient semi-supervised quantum anomaly detection using one-class support vector machines

Quantum computing is an emerging technology that can potentially improve different tasks in machine learning. Combining the representational power of a classically hard quantum kernel and the...

Continue Reading

Application of graph partitioning algorithms and genetic algorithms to optimize teleportation costs in distributed quantum circuits.

Currently, we are in the Noisy Intermediate Scale Quantum (NISQ) era, where the number of qubits that can be used in a single quantum computer is increasing. However, with this development come...

Continue Reading

NISQ-ready community detection on weighted graphs using separation-node identification

An important optimization problem in computer science is the detection of communities. By analyzing networks, so-called communities can be found and important information in many fields - from...

Continue Reading

Efficient Quantum Circuit Architecture for Coined Quantum Walks on many Bipartite Graphs (en)

Quantum walks, a quantum analog of classical random walks, have emerged as a powerful paradigm in quantum computation and simulation. While classical random walks rely on stochastic processes to...

Continue Reading


Emergent Cooperation in Quantum Multi-Agent Reinforcement Learning Using Communication

Emergent cooperation in classical Multi-Agent Reinforcement Learning has gained significant attention, particularly in the context of Sequential Social Dilemmas. While classical reinforcement...

Continue Reading

Determining links in product data using Quantum Restricted Boltzmann Machines

The increasing share of software in products not only drives innovation but also increases complexity. To minimize the risk of malfunctions in software-intensive products and ensure traceability,...

Continue Reading

Emerging Cooperation through Quantum Entanglement in Multi-Agent Systems

Emerging Cooperation through Quantum Entanglement in Multi-Agent Systems Abstract: This thesis investigates the feasibility of quantum entanglement enhancing cooperation in multi-agent reinforcement...

Continue Reading

Distributed Quantum Machine Learning -Training and Evaluating a Machine Learning Model on a Distributed Quantum Computing Simulator

The training and execution of machine learning models on quantum hardware is typically limited by the number of available qubits. A potential approach to overcoming this limitation is Distributed...

Continue Reading

QUBO-Generation for (MAX-)3SAT via generative AI-Methods

Creating QUBOs for 3-SAT formulas using pattern QUBOs poses several challenges. Generating pattern QUBOs and building the QUBO structure itself is technically demanding due to the brute-force...

Continue Reading

Evaluating Parameter-Based Training Performance of Neural Networks and Variational Quantum Circuits

In recent years, neural networks (NN) have played a central role in significant advancements in the field of machine learning. The increasing complexity of machine learning tasks leads to NNs with a...

Continue Reading

Reinforcement learning-supported state preparation using parameterized quantum gates

This thesis investigates the application of reinforcement learning (RL) in order to optimize the state preparation in parameterized quantum circuits. By using RL algorithms, an agent is trained to...

Continue Reading

Comparison of different hybrid quantum machine learning approaches for image classification on quantum computers

This work analyzes the hybrid approaches Quanvolutional Neural Network (QCNN), Quantum Transfer Learning (QTL) and Variational Quantum Circuit (VQC). These are trained to classify the images of the...

Continue Reading

Architectural Influence on Variational Quantum Circuits in Multi-Agent Reinforcement Learning: Evolutionary Strategies for Optimization

The field of Multi-Agent Reinforcement Learning (MARL) is becoming increasingly relevant in domains that involve the interaction of multiple agents, such as autonomous driving and robotics. One...

Continue Reading

The Trainability of Quantum FederatedLearning

The Trainability of Quantum Federated Learning Abstract: This thesis explores the implementation and evaluation of Quantum Federated Learning (QFL), where Variational Quantum Circuits (VQCs) are...

Continue Reading

Investigating the Lottery Ticket Hypothesis for Variational Quantum Circuits

Quantum computing is an emerging field in computer science that has made significant progress in recent years, including in the area of machine learning. Through the principles of quantum physics, it...

Continue Reading

Quantum Reinforcement Learning via Parameterized Quantum Walks

This work investigates random walks in grid worlds and glued trees using classical reinforcement learning strategies such as Proximal Policy Optimization or Deep Q-learning Networks. In a next step,...

Continue Reading

Optimization of Variational Quantum Circuits for Hybrid Quantum Proximal Policy Optimization Algorithms

Quantum computers, which are subject to current research, offer, apart from the hope for an quantum advantage, the chance of reducing the number of used trainable parameters. This is especially...

Continue Reading

Path-Connectedness of the Boundary between Features that Are Labeled Differently by a Single Layer Perceptron

Due to the remarkable advancements in high-performance computing, machines can process an increasingly high amount of data to adjust numerous parameters in a Machine Learning model (ML model). In...

Continue Reading

Using Quantum Machine Learning to Predict Asset Prices in Financial Markets

In the financial world, a lot of effort is spent on predicting future asset prices. Gaining even a modest increase in forecasting capability can generate enormous profits. Some statistical models...

Continue Reading

Quantum-Enhanced Denoising DiffusionModels

Machine learning models for generating images have gained much notoriety in the past year. DALL-E, Craiyon and Stable Diffusion can generate high-resolution images, by users simply typing a short...

Continue Reading

Dimensionality Reduction with Autoencodersfor Efficient Classification with VariationalQuantum Circuits

Quantum computing promises performance advantages, especially for data-intensive and complex computations. However, we are currently in the Noisy Intermediate-Scale Quantum era with a limited number...

Continue Reading

Approximating Quadratic Unconstrained Binary Optimization Problems using Graph Convolutional Neural Networks

The quantum annealing hardware currently available has not yet reached the stage to successfully compete with ecient heuristics on classical machines, due to limitations in size and connectivity....

Continue Reading

Influence of Embedding-Methods on the Generalization of Quantum Machine Learning

Quantum Machine Learning is a promising field of application for quantum computers. However, to see real advantages over classical computers, advanced quantum fundamentals are needed. One of the...

Continue Reading

Quantum-Multi-Agent-Reinforcement-Learning mit Evolutionärer Optimierung (en)

Multi-agent reinforcement learning is becoming increasingly important in the era of autonomous driving and other intelligent industrial applications. At the same time, a promising new approach to...

Continue Reading

Anomaly Detection using Quantum Circuit Born Machines (en)

Anomaly detection is a critical component in various fields, including finance, medical diagnosis, and fraud detection. As datasets become increasingly complex and larger, traditional computers face...

Continue Reading

Analyzing Reinforcement Learning strategies from a parameterized quantum walker (en)

Reinforcement Learning has made significant progress in solving complex problems. Hence, it is not surprising that it can be found in various application domains. Quantum Computing as well is a...

Continue Reading


CUAOA: A Novel CUDA-Accelerated Simulation Framework for the Quantum Approximate Optimization Algorithm

The Quantum Approximate Optimization Algorithm (QAOA) is a prominent quantum algorithm designed to find approximate solutions to combinatorial optimization problems. In the current era, where quantum...

Continue Reading

A Reinforcement Learning Environment for directed Quantum Circuit Synthesis

Fueled by recent advances in quantum computing technologies, the design of optimized quantum circuits including reliable quantum state preparation are topics gaining more and more importance. Common...

Continue Reading

Anomaly Detection using Quantum Circuit Born Machines (en)

Anomaly detection is a critical component in various fields, including finance, medical diagnosis, and fraud detection. As datasets become increasingly complex and larger, traditional computers face...

Continue Reading

Efficient Quantum Circuit Architecture for Coined Quantum Walks on many Bipartite Graphs (en)

Quantum walks, a quantum analog of classical random walks, have emerged as a powerful paradigm in quantum computation and simulation. While classical random walks rely on stochastic processes to...

Continue Reading


QAR-Lab – Quantum Applications and Research Laboratory
Ludwig-Maximilians-Universität München
Oettingenstraße 67
80538 Munich
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