Synthesis Of Quantum Circuits Vs Synthesis Of Classical Reversible Circuits
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Synthesis Of Quantum Circuits Vs Synthesis Of Classical Reversible Circuits
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Author : Alexis De Vos
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2018-07-03
Synthesis Of Quantum Circuits Vs Synthesis Of Classical Reversible Circuits written by Alexis De Vos and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-03 with Technology & Engineering categories.
At first sight, quantum computing is completely different from classical computing. Nevertheless, a link is provided by reversible computation. Whereas an arbitrary quantum circuit, acting on ?? qubits, is described by an ?? × ?? unitary matrix with ??=2??, a reversible classical circuit, acting on ?? bits, is described by a 2?? × 2?? permutation matrix. The permutation matrices are studied in group theory of finite groups (in particular the symmetric group ????); the unitary matrices are discussed in group theory of continuous groups (a.k.a. Lie groups, in particular the unitary group U(??)). Both the synthesis of a reversible logic circuit and the synthesis of a quantum logic circuit take advantage of the decomposition of a matrix: the former of a permutation matrix, the latter of a unitary matrix. In both cases the decomposition is into three matrices. In both cases the decomposition is not unique.
Synthesis Of Quantum Circuits Vs Synthesis Of Classical Reversible Circuits
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Author : Alexis De Vos
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Synthesis Of Quantum Circuits Vs Synthesis Of Classical Reversible Circuits written by Alexis De Vos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
At first sight, quantum computing is completely different from classical computing. Nevertheless, a link is provided by reversible computation. Whereas an arbitrary quantum circuit, acting on ?? qubits, is described by an ?? × ?? unitary matrix with ??=2??, a reversible classical circuit, acting on ?? bits, is described by a 2?? × 2?? permutation matrix. The permutation matrices are studied in group theory of finite groups (in particular the symmetric group ????); the unitary matrices are discussed in group theory of continuous groups (a.k.a. Lie groups, in particular the unitary group U(??)). Both the synthesis of a reversible logic circuit and the synthesis of a quantum logic circuit take advantage of the decomposition of a matrix: the former of a permutation matrix, the latter of a unitary matrix. In both cases the decomposition is into three matrices. In both cases the decomposition is not unique.
Reversible And Quantum Circuits
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Author : Nabila Abdessaied
language : en
Publisher: Springer
Release Date : 2016-06-06
Reversible And Quantum Circuits written by Nabila Abdessaied and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Technology & Engineering categories.
This book presents a new optimization flow for quantum circuits realization. At the reversible level, optimization algorithms are presented to reduce the quantum cost. Then, new mapping approaches to decompose reversible circuits to quantum circuits using different quantum libraries are described. Finally, optimization techniques to reduce the quantum cost or the delay are applied to the resulting quantum circuits. Furthermore, this book studies the complexity of reversible circuits and quantum circuits from a theoretical perspective.
Reversible Computation
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Author : Jarkko Kari
language : en
Publisher: Springer
Release Date : 2018-08-30
Reversible Computation written by Jarkko Kari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-30 with Computers categories.
This book constitutes the refereed proceedings of the 10th International Conference on Reversible Computation, RC 2018, held in Leicester, UK, in September 2018. The 13 full, 7 short, and one tutorial papers included in this volume together with four invited talks were carefully reviewed and selected from 28 submissions. The papers are organized in the following topical sections: reversible concurrent computation; quantum circuits; reversible programming languages; and applications.
Reversible Computation
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Author : Claudio Antares Mezzina
language : en
Publisher: Springer Nature
Release Date : 2022-06-28
Reversible Computation written by Claudio Antares Mezzina and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-28 with Computers categories.
This book constitutes the refereed proceedings of the 14th International Conference on Reversible Computation, RC 2022, which was held in Urbino, Italy, during July 5-6, 2021. The 10 full papers and 6 short papers included in this book were carefully reviewed and selected from 20 submissions. They were organized in topical sections named: Reversible and Quantum Circuits; Applications of quantum Computing; Foundations and Applications.
Reversible Computation
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Author : Michael Kirkedal Thomsen
language : en
Publisher: Springer
Release Date : 2019-06-17
Reversible Computation written by Michael Kirkedal Thomsen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-17 with Computers categories.
This book constitutes the refereed proceedings of the 11th International Conference on Reversible Computation, RC 2019, held in Lausanne, Switzerland, in June 2019. The 12 full papers and two short papers included in this volume were carefully reviewed and selected from 22 submissions. One invited talk is also included. The papers are organized in the following topical sections: theory and foundation; programming languages; circuit synthesis; evaluation of circuit synthesis; and applications and implementations.
Reversible Computation
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Author : Martin Kutrib
language : en
Publisher: Springer Nature
Release Date : 2023-07-11
Reversible Computation written by Martin Kutrib and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-11 with Computers categories.
This book constitutes the refereed proceedings of the 15th International Conference on Reversible Computation, RC 2023, held in Giessen, Germany, during July 18–19, 2023. The 11 full papers and 3 short papers included in this book were carefully reviewed and selected from 19 submissions. They were organized in topical sections as follows: Foundations; Reversible Programming; Quantum Computing; and Quantum Circuits.
Reversible Computation
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Author : Robert Glück
language : en
Publisher: Springer
Release Date : 2013-01-16
Reversible Computation written by Robert Glück and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-16 with Computers categories.
This book constitutes the refereed proceedings of the 4th International Workshop on Reversible Computation, RC 2012, held in Copenhagen, Denmark, in July 2012. The 19 contributions presented in this volume were carefully reviewed and selected from 46 submissions. The papers cover theoretical considerations, reversible software and reversible hardware, and physical realizations and applications in quantum computing.
Quantum Computing For Computer Architects Second Edition
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Author : Tzvetan Metodi
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Quantum Computing For Computer Architects Second Edition written by Tzvetan Metodi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Technology & Engineering categories.
Quantum computers can (in theory) solve certain problems far faster than a classical computer running any known classical algorithm. While existing technologies for building quantum computers are in their infancy, it is not too early to consider their scalability and reliability in the context of the design of large-scale quantum computers. To architect such systems, one must understand what it takes to design and model a balanced, fault-tolerant quantum computer architecture. The goal of this lecture is to provide architectural abstractions for the design of a quantum computer and to explore the systems-level challenges in achieving scalable, fault-tolerant quantum computation. In this lecture, we provide an engineering-oriented introduction to quantum computation with an overview of the theory behind key quantum algorithms. Next, we look at architectural case studies based upon experimental data and future projections for quantum computation implemented using trapped ions. While we focus here on architectures targeted for realization using trapped ions, the techniques for quantum computer architecture design, quantum fault-tolerance, and compilation described in this lecture are applicable to many other physical technologies that may be viable candidates for building a large-scale quantum computing system. We also discuss general issues involved with programming a quantum computer as well as a discussion of work on quantum architectures based on quantum teleportation. Finally, we consider some of the open issues remaining in the design of quantum computers. Table of Contents: Introduction / Basic Elements for Quantum Computation / Key Quantum Algorithms / Building Reliable and Scalable Quantum Architectures / Simulation of Quantum Computation / Architectural Elements / Case Study: The Quantum Logic Array Architecture / Programming the Quantum Architecture / Using the QLA for Quantum Simulation: The Transverse Ising Model / Teleportation-Based Quantum Architectures / Concluding Remarks
Transactions On Computational Science Xxiv
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Author : Marina L. Gavrilova
language : en
Publisher: Springer
Release Date : 2014-12-06
Transactions On Computational Science Xxiv written by Marina L. Gavrilova and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-06 with Computers categories.
The LNCS journal Transactions on Computational Science reflects recent developments in the field of Computational Science, conceiving the field not as a mere ancillary science but rather as an innovative approach supporting many other scientific disciplines. The journal focuses on original high-quality research in the realm of computational science in parallel and distributed environments, encompassing the facilitating theoretical foundations and the applications of large-scale computations and massive data processing. It addresses researchers and practitioners in areas ranging from aerospace to biochemistry, from electronics to geosciences, from mathematics to software architecture, presenting verifiable computational methods, findings, and solutions and enabling industrial users to apply techniques of leading-edge, large-scale, high performance computational methods. This, the 24th issue of the Transactions on Computational Science journal, guest edited by Himanshu Thapliyal and Nagarajan Ranganathan, is devoted to the topic of reversible computing. It is comprised of eight selected papers on reversible energy recovery designs, design of reversible logic gates and arithmetic circuits in optical computing, reversible basic linear algebra subprograms, quantum circuit description language, and reversible circuit and logic synthesis.