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We describe the use of quantum process calculus to describe and analyze quantum communication protocols, following the successful field of formal methods from classical computer science. The key idea is to define two systems, one modelling…

Logic in Computer Science · Computer Science 2012-10-03 Timothy A. S. Davidson , Simon J. Gay , Rajagopal Nagarajan , Ittoop Vergheese Puthoor

Formal methods have been a successful approach for modelling and verifying the correctness of complex technologies like microprocessor chip design, biological systems and others. This is the main motivation of developing quantum formal…

Formal Languages and Automata Theory · Computer Science 2024-09-27 Ittoop Vergheese Puthoor

We establish fundamental and general techniques for formal verification of quantum protocols. Quantum protocols are novel communication schemes involving the use of quantum-mechanical phenomena for representation, storage and transmission…

Quantum Physics · Physics 2007-05-23 Simon Gay , Rajagopal Nagarajan , Nikolaos Papanikolaou

We describe the use of quantum process calculus to describe and analyze quantum communication protocols, following the successful field of formal methods from classical computer science. We have extended the quantum process calculus to…

Logic in Computer Science · Computer Science 2014-08-04 Simon J. Gay , Ittoop Vergheese Puthoor

This work develops a formal framework for specifying, implementing, and analysing quantum communication protocols. We provide tools for developing simple proofs and analysing programs which involve communication, both via quantum channels…

Programming Languages · Computer Science 2009-07-30 Anya Tafliovich , Eric C. R. Hehner

Quantum computations operate in the quantum world. For their results to be useful in any way, there is an intrinsic necessity of cooperation and communication controlled by the classical world. As a consequence, full formal descriptions of…

Quantum Physics · Physics 2007-05-23 Philippe Jorrand , Marie Lalire

This tutorial introduces quantum computing with a focus on the applicability of formal methods in this relatively new domain. We describe quantum circuits and convey an understanding of their inherent combinatorial nature and the…

Quantum Physics · Physics 2024-07-17 Arend-Jan Quist , Jingyi Mei , Tim Coopmans , Alfons Laarman

In this work, we have expounded the communication procedure of quantum systems by means of process algebra. The main objective of our research effort is to formally represent the communication between distributed quantum systems. In this…

Logic in Computer Science · Computer Science 2024-09-05 Salman Haider , Syed Asad Raza Kazmi

We propose to analyse quantum protocols by applying formal verification techniques developed in classical computing for the analysis of communicating concurrent systems. One area of successful application of these techniques is that of…

Quantum Physics · Physics 2007-05-23 Rajagopal Nagarajan , Simon Gay

Quantum Information Processing, which is an exciting area of research at the intersection of physics and computer science, has great potential for influencing the future development of information processing systems. The building of…

Logic in Computer Science · Computer Science 2015-11-06 Jaap Boender , Florian Kammüller , Rajagopal Nagarajan

This article discusses the essential difficulties in developing model-checking techniques for quantum systems that are never present in model checking classical systems. It further reviews some early researches on checking quantum…

Quantum Physics · Physics 2018-07-26 Mingsheng Ying , Yuan Feng

While recent progress in quantum hardware open the door for significant speedup in certain key areas (cryptography, biology, chemistry, optimization, machine learning, etc), quantum algorithms are still hard to implement right, and the…

Programming Languages · Computer Science 2022-04-11 Christophe Chareton , Sébastien Bardin , Dongho Lee , Benoît Valiron , Renaud Vilmart , Zhaowei Xu

In this paper we introduce a technique and a tool for formal verification of various quantum information processing protocols. The tool uses stabilizer formalism and is capable of representing concurrent quantum protocol, thus is more…

Logic in Computer Science · Computer Science 2013-12-23 Ebrahim Ardeshir-Larijani , Simon J. Gay , Rajagopal Nagarajan

Quantum processes, such as quantum circuits, quantum memories, and quantum channels, are essential ingredients in almost all quantum information processing tasks. However, the characterization of these processes remains a daunting task due…

Quantum Physics · Physics 2020-04-16 Ye-Chao Liu , Jiangwei Shang , Xiao-Dong Yu , Xiangdong Zhang

We present a logical calculus for reasoning about information flow in quantum programs. In particular we introduce a dynamic logic that is capable of dealing with quantum measurements, unitary evolutions and entanglements in compound…

Quantum Physics · Physics 2021-09-15 Alexandru Baltag , Sonja Smets

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components, as well as communications between these components. Moreover, to model concurrent and…

Quantum Physics · Physics 2007-05-23 Marie Lalire

In this paper a system-oriented formalism of Quantum Information Processing is presented. Its form resembles that of standard signal processing, although further complexity is added in order to describe pure quantum-mechanical effects and…

Quantum Physics · Physics 2007-05-23 Marcos Curty , David J. Santos

Quantum protocols such as the BB84 Quantum Key Distribution protocol exchange qubits to achieve information-theoretic security guarantees. Many variants thereof were proposed, some of them being already deployed. Existing security proofs in…

Cryptography and Security · Computer Science 2019-04-11 Lucca Hirschi

The main contribution of this paper is the introduction of a dynamic logic formalism for reasoning about information flow in composite quantum systems. This builds on our previous work on a complete quantum dynamic logic for single systems.…

Quantum Physics · Physics 2021-10-05 Alexandru Baltag , Sonja Smets

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
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