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Quantum Hoare logic (QHL) is a formal verification tool specifically designed to ensure the correctness of quantum programs. There has been an ongoing challenge to achieve a relatively complete satisfaction-based QHL with while-loop since…

Logic in Computer Science · Computer Science 2024-05-06 Xin Sun , Xingchi Su , Xiaoning Bian , Huiwen Wu

Quantum error correction (QEC) enables reliable computation on noisy hardware by encoding logical information across many physical qubits and periodically measuring parities to detect errors. A decoder is the classical algorithm that uses…

Programming Languages · Computer Science 2026-03-23 Abtin Molavi , Feras Saad , Aws Albarghouthi

Quantum computers promise to efficiently solve not only problems believed to be intractable for classical computers, but also problems for which verifying the solution is also considered intractable. This raises the question of how one can…

Quantum Physics · Physics 2018-07-10 Alexandru Gheorghiu , Theodoros Kapourniotis , Elham Kashefi

Quantum computing technology may soon deliver revolutionary improvements in algorithmic performance, but these are only useful if computed answers are correct. While hardware-level decoherence errors have garnered significant attention, a…

Programming Languages · Computer Science 2022-04-15 Yuxiang Peng , Kesha Hietala , Runzhou Tao , Liyi Li , Robert Rand , Michael Hicks , Xiaodi Wu

Formal verification provides strong guarantees of correctness of software, which are especially important in safety or security critical systems. Hoare logic is a widely used formalism for rigorous verification of software against…

Programming Languages · Computer Science 2021-03-11 Jayaraj Poroor

In support of the growing interest in quantum computing experimentation, programmers need new tools to write quantum algorithms as program code. Compared to debugging classical programs, debugging quantum programs is difficult because…

Quantum Physics · Physics 2019-07-03 Yipeng Huang , Margaret Martonosi

We initiate the study of parallel quantum programming by defining the operational and denotational semantics of parallel quantum programs. The technical contributions of this paper include: (1) find a series of useful proof rules for…

Logic in Computer Science · Computer Science 2019-10-02 Mingsheng Ying , Li Zhou , Yangjia Li

Nondeterministic choice is a useful program construct that provides a way to describe the behaviour of a program without specifying the details of possible implementations. It supports the stepwise refinement of programs, a method that has…

Logic in Computer Science · Computer Science 2023-02-17 Yuan Feng , Yingte Xu

Quantum computing (QC) represents the future of computing systems, but the tools for reasoning about the quantum model of computation, in which the laws obeyed are those on the quantum mechanical scale, are still a mix of linear algebra and…

Software Engineering · Computer Science 2021-11-17 Carmelo R. Cartiere

As quantum computing progresses steadily from theory into practice, programmers will face a common problem: How can they be sure that their code does what they intend it to do? This paper presents encouraging results in the application of…

Programming Languages · Computer Science 2021-07-15 Kesha Hietala , Robert Rand , Shih-Han Hung , Liyi Li , Michael Hicks

Quantum computers have advanced rapidly in qubit count and gate fidelity. However, large-scale fault-tolerant quantum computing still relies on quantum error correction code (QECC) to suppress noise. Manually or experimentally verifying the…

Quantum Physics · Physics 2026-02-20 Kean Chen , Yuhao Liu , Wang Fang , Jennifer Paykin , Xin-Chuan Wu , Albert Schmitz , Steve Zdancewic , Gushu Li

As quantum computers become real, it is high time we come up with effective techniques that help programmers write correct quantum programs. In classical computing, formal verification and sound static type systems prevent several classes…

Programming Languages · Computer Science 2021-09-10 Kartik Singhal , John Reppy

Blind Quantum Computing (BQC) allows a client to have a server carry out a quantum computation for them such that the client's input, output and computation remain private. A desirable property for any BQC protocol is verification, whereby…

Quantum Physics · Physics 2017-07-12 Joseph F. Fitzsimons , Elham Kashefi

Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum error-correcting codes has some close ties to and some striking differences…

Quantum Physics · Physics 2009-04-17 Daniel Gottesman

A quantum computer (QC) can solve many computational problems more efficiently than a classic one. The field of QCs is growing: companies (such as DWave, IBM, Google, and Microsoft) are building QC offerings. We position that software…

Software Engineering · Computer Science 2019-07-09 Andriy Miranskyy , Lei Zhang

Quantum computing is an emerging computational paradigm that leverages the laws of quantum mechanics to perform elementary logic operations. Existing programming models for quantum computing were designed with fault-tolerant hardware in…

Programming Languages · Computer Science 2019-09-06 Tiffany M. Mintz , Alexander J. Mccaskey , Eugene F. Dumitrescu , Shirley V. Moore , Sarah Powers , Pavel Lougovski

Quantum based systems are a relatively new research area for that different modelling languages including process calculi are currently under development. Encodings are often used to compare process calculi. Quality criteria are used then…

Logic in Computer Science · Computer Science 2024-08-07 Anna Schmitt , Kirstin Peters , Yuxin Deng

Correcting errors due to noise in quantum circuits run on current and near-term quantum hardware is essential for any convincing demonstration of quantum advantage. Indeed, in many cases it has been shown that noise renders quantum circuits…

Quantum Physics · Physics 2022-06-08 Rawad Mezher , James Mills , Elham Kashefi

Quantum error correction protocols will play a central role in the realisation of quantum computing; the choice of error correction code will influence the full quantum computing stack, from the layout of qubits at the physical level to…

Quantum Physics · Physics 2019-10-14 Joschka Roffe

Quantum computation and communication rely on the ability to manipulate quantum states robustly and with high fidelity. Thus, some form of error correction is needed to protect fragile quantum superposition states from corruption by…