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Based on the connection between the categorical derivation of classical programs from specifications and the category-theoretic approach to quantum physics, this paper contributes to extending the laws of classical program algebra to…

Quantum Physics · Physics 2020-10-22 Ana Neri , Rui Soares Barbosa , José N. Oliveira

With the advent of delegated quantum computing as a service, verifying quantum computations is becoming a question of great importance. Existing information theoretically Secure Delegated Quantum Computing (SDQC) protocols require the…

Quantum Physics · Physics 2024-03-18 Elham Kashefi , Dominik Leichtle , Luka Music , Harold Ollivier

Most modern (classical) programming languages support recursion. Recursion has also been successfully applied to the design of several quantum algorithms and introduced in a couple of quantum programming languages. So, it can be expected…

Logic in Computer Science · Computer Science 2021-07-27 Zhaowei Xu , Mingsheng Ying , Benoît Valiron

In this paper we present a translation from the quantum programming language Quipper to the QPMC model checker, with the main aim of verifying Quipper programs. Quipper is an embedded functional programming language for quantum computation.…

Logic in Computer Science · Computer Science 2017-08-22 Linda Anticoli , Carla Piazza , Leonardo Taglialegne , Paolo Zuliani

Network verification (NWV), broadly defined as the verification of properties of distributed protocols used in network systems, cannot be efficiently solved on classical hardware via brute force. Prior work has developed a variety of…

Formal Methods are mathematically-based techniques for software design and engineering, which enable the unambiguous description of and reasoning about a system's behaviour. Autonomous systems use software to make decisions without human…

Software Engineering · Computer Science 2021-07-29 Matt Luckcuck

Verifying the correct functioning of quantum gates is a crucial step towards reliable quantum information processing, but it becomes an overwhelming challenge as the system size grows due to the dimensionality curse. Recent theoretical…

Current methods for verifying quantum computers are predominately based on interactive or automatic theorem provers. Considering that quantum computers are dynamical in nature, this paper employs and extends the concepts from the…

Quantum Physics · Physics 2024-08-15 Marco Lewis , Sadegh Soudjani , Paolo Zuliani

Quantum reinforcement learning (QRL) aims to use quantum effects to create sequential decision-making policies that achieve tasks more effectively than their classical counterparts. However, QRL policies face uncertainty from quantum…

Quantum Physics · Physics 2026-01-30 Dennis Gross

We survey the landscape of Hoare logics for quantum programs. We review three papers: "Reasoning about imperative quantum programs" by Chadha, Mateus and Sernadas; "A logic for formal verification of quantum programs" by Yoshihiko Kakutani;…

Logic in Computer Science · Computer Science 2019-04-10 Robert Rand

Variational quantum algorithms have been introduced as a promising class of quantum-classical hybrid algorithms that can already be used with the noisy quantum computing hardware available today by employing parameterized quantum circuits.…

Quantum Physics · Physics 2023-02-10 Tom Peham , Lukas Burgholzer , Robert Wille

With the range and sensitivity of algorithmic decisions expanding at a break-neck speed, it is imperative that we aggressively investigate whether programs are biased. We propose a novel probabilistic program analysis technique and apply it…

Programming Languages · Computer Science 2017-03-08 Aws Albarghouthi , Loris D'Antoni , Samuel Drews , Aditya Nori

Modern quantum devices are highly susceptible to errors, making the verification of their correct operation a critical problem. Usual tomographic methods rapidly become intractable as these devices are scaled up. In this paper, we introduce…

Quantum Physics · Physics 2024-11-08 Varun Upreti , Ulysse Chabaud

Self-testing is a method to characterise an arbitrary quantum system based only on its classical input-output correlations, and plays an important role in device-independent quantum information processing as well as quantum complexity…

Quantum Physics · Physics 2022-05-18 Tony Metger , Thomas Vidick

Device-independent (DI) certification allows the verification of quantum systems based solely on observed statistics, without assumptions about their internal structure. While self-testing, the strongest DI certification, of a wide range of…

Quantum Physics · Physics 2025-08-29 Shubhayan Sarkar

Quantum programs are designed to run on quantum computers, leveraging quantum circuits to solve problems that are intractable for classical machines. As quantum computing advances, ensuring the reliability of quantum programs has become…

Software Engineering · Computer Science 2025-09-08 Tiancheng Jin , Shangzhou Xia , Jianjun Zhao

In this perspective we discuss verification of quantum devices in the context of specific examples, formulated as proposed experiments. Our first example is verification of analog quantum simulators as Hamiltonian learning, where the input…

Quantum Physics · Physics 2021-04-12 Jose Carrasco , Andreas Elben , Christian Kokail , Barbara Kraus , Peter Zoller

With the rapid development of quantum computing, automatic verification of quantum circuits becomes more and more important. While several decision diagrams (DDs) have been introduced in quantum circuit simulation and verification, none of…

Formal verification of complex algorithms is challenging. Verifying their implementations goes beyond the state of the art of current automatic verification tools and usually involves intricate mathematical theorems. Certifying algorithms…

Logic in Computer Science · Computer Science 2013-02-01 Eyad Alkassar , Sascha Böhme , Kurt Mehlhorn , Christine Rizkallah

We present the Foundational Cryptography Framework (FCF) for developing and checking complete proofs of security for cryptographic schemes within a proof assistant. This is a general-purpose framework that is capable of modeling and…

Programming Languages · Computer Science 2014-10-15 Adam Petcher , Greg Morrisett