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Classical program analysis techniques, such as abstract interpretation and symbolic execution, are essential for ensuring software correctness, optimizing performance, and enabling compiler optimizations. However, these techniques face…

Quantum Physics · Physics 2025-10-14 Yicheng Guang , Pietro Zanotta , Kai Zhou , Yueqi Chen , Ramin Ayanzadeh

Thanks to the rapid progress and growing complexity of quantum algorithms, correctness of quantum programs has become a major concern. Pioneering research over the past years has proposed various approaches to formally verify quantum…

Quantum Physics · Physics 2025-05-08 Anurudh Peduri , Ina Schaefer , Michael Walter

Quantum computing improves substantially on known classical algorithms for various important problems, but the nature of the relationship between quantum and classical computing is not yet fully understood. This relationship can be…

Quantum Physics · Physics 2026-02-20 Jacques Carette , Chris Heunen , Robin Kaarsgaard , Neil J. Ross , Amr Sabry

In this work, we consider the fundamental problem of deriving quantitative bounds on the probability that a given assertion is violated in a probabilistic program. We provide automated algorithms that obtain both lower and upper bounds on…

Programming Languages · Computer Science 2020-12-02 Jinyi Wang , Yican Sun , Hongfei Fu , Krishnendu Chatterjee , Amir Kafshdar Goharshady

Testing can be key to software quality assurance. Automated verification may increase throughput and reduce human fallibility errors. Test scripts supply inputs, run programs and check their outputs mechanically using test oracles. In…

Software Engineering · Computer Science 2024-09-24 William B. Langdon

Any quantum computing application, once encoded as a quantum circuit, must be compiled before being executable on a quantum computer. Similar to classical compilation, quantum compilation is a sequential process with many compilation steps…

Quantum Physics · Physics 2024-06-25 Nils Quetschlich , Lukas Burgholzer , Robert Wille

This report describes a variety of programming assignments that can be used to teach quantum computing in a practical manner. These assignments let the learners get hands-on experience with all stages of quantum software development…

Physics Education · Physics 2023-12-19 Mariia Mykhailova

Quantum computing promises to solve problems beyond the reach of classical computers, but today's quantum hardware is error-prone and much slower than classical hardware. Every quantum operation is costly, making it crucial to minimize…

Quantum Physics · Physics 2026-05-25 Lian Remme , Alexander Weinert , Andre Waschk , Lukas Burgholzer , Robert Wille

Optimizing objective functions stands to benefit significantly from leveraging quantum computers, promising enhanced solution quality across various application domains in the future. However, harnessing the potential of quantum solvers…

Quantum Physics · Physics 2025-10-15 Deborah Volpe , Nils Quetschlich , Mariagrazia Graziano , Giovanna Turvani , Robert Wille

We present a scalable, robust approach to creating quantum programs of arbitrary size and complexity. The approach is based on the true abstraction of the problem. The quantum program is expressed in terms of a high-level model together…

Quantum optimisation is emerging as a promising approach alongside classical heuristics and specialised hardware, yet its performance is often difficult to assess fairly. Traditional benchmarking methods, rooted in digital complexity…

Quantum Physics · Physics 2025-12-10 Frank Phillipson

Quantum algorithms are able to solve particular problems exponentially faster than conventional algorithms, when implemented on a quantum computer. However, all demonstrations to date have required already knowing the answer to construct…

Quantum Physics · Physics 2013-03-22 Xiao-Qi Zhou , Pruet Kalasuwan , Timothy C. Ralph , Jeremy L. O'Brien

Quantum computers promise considerable speedups over classical approaches, which has raised interest from many disciplines. Since any currently available implementations suffer from noise and imperfections, achieving concrete speedups for…

Emerging Technologies · Computer Science 2023-08-16 Felix Greiwe , Tom Krüger , Wolfgang Mauerer

Quantum computing has made considerable progress in recent years in both software and hardware. But to unlock the power of quantum computers in solving problems that cannot be efficiently solved classically, quantum computing at scale is…

Quantum Physics · Physics 2024-08-21 Nils Quetschlich , Mathias Soeken , Prakash Murali , Robert Wille

Mathematical theorems are human knowledge able to be accumulated in the form of symbolic representation, and proving theorems has been considered intelligent behavior. Based on the BHK interpretation and the Curry-Howard isomorphism, proof…

Neural and Evolutionary Computing · Computer Science 2016-04-18 Li-An Yang , Jui-Pin Liu , Chao-Hong Chen , Ying-ping Chen

Feature selection is a common step in many ranking, classification, or prediction tasks and serves many purposes. By removing redundant or noisy features, the accuracy of ranking or classification can be improved and the computational cost…

Information Retrieval · Computer Science 2022-05-10 Maurizio Ferrari Dacrema , Fabio Moroni , Riccardo Nembrini , Nicola Ferro , Guglielmo Faggioli , Paolo Cremonesi

Simulating quantum circuits using classical computers lets us analyse the inner workings of quantum algorithms. The most complete type of simulation, strong simulation, is believed to be generally inefficient. Nevertheless, several…

Quantum Physics · Physics 2013-02-25 T. H. Johnson , J. D. Biamonte , S. R. Clark , D. Jaksch

Quantum computing provides a new way for approaching problem solving, enabling efficient solutions for problems that are hard on classical computers. It is based on leveraging how quantum particles behave. With researchers around the world…

Quantum Physics · Physics 2021-09-29 Ahmed Shokry , Moustafa Youssef

Writing good software tests can be challenging, therefore approaches that support developers are desirable. While generating complete tests automatically is such an approach commonly proposed in research, developers may already have…

Software Engineering · Computer Science 2025-04-30 Severin Primbs , Benedikt Fein , Gordon Fraser

We provide a new quantum algorithm that efficiently determines the quality of a least-squares fit over an exponentially large data set by building upon an algorithm for solving systems of linear equations efficiently (Harrow et al., Phys.…

Quantum Physics · Physics 2013-01-10 Nathan Wiebe , Daniel Braun , Seth Lloyd