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Synthesis of quantum circuits vs. sy...

De Vos, Alexis.

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Synthesis of quantum circuits vs. synthesis of classical reversible circuits

Record Type:	Electronic resources : Monograph/item
Title/Author:	Synthesis of quantum circuits vs. synthesis of classical reversible circuits/ Alexis De Vos, Stijn De Baerdemacker, Yvan Van Rentergem.
Author:	De Vos, Alexis.
other author:	De Baerdemacker, Stijn,
Published:	San Rafael, California :Morgan & Claypool Publishers, : 2018.,
Description:	1 online resource (127 p.)
[NT 15003449]:	Synthesis of quantum circuits vs. synthesis of classical reversible circuits -- Abstract; Keywords -- Contents -- Acknowledgments -- Chapter 1: Introduction -- Chapter 2: Bottom -- Chapter 3: Bottom-Up -- Chapter 4: Top -- Chapter 5: Top-Down -- Chapter 6: Conclusion -- Appendix A: Polar Decomposition -- Bibliography -- Authors' Biographies -- Index.
Subject:	Computers - Circuits. -
Online resource:	http://portal.igpublish.com/iglibrary/search/MCPB0006408.htmlclick for full text
ISBN:	168173379X

Synthesis of quantum circuits vs. synthesis of classical reversible circuits
De Vos, Alexis.

Synthesis of quantum circuits vs. synthesis of classical reversible circuits[electronic resource] /Alexis De Vos, Stijn De Baerdemacker, Yvan Van Rentergem. - 1st ed. - San Rafael, California :Morgan & Claypool Publishers,2018. - 1 online resource (127 p.) - Synthesis Lectures on Digital Circuits and Systems ;54.. - Synthesis Lectures on Digital Circuits and Systems ;54..

Includes bibliographical references and index.

Synthesis of quantum circuits vs. synthesis of classical reversible circuits -- Abstract; Keywords -- Contents -- Acknowledgments -- Chapter 1: Introduction -- Chapter 2: Bottom -- Chapter 3: Bottom-Up -- Chapter 4: Top -- Chapter 5: Top-Down -- Chapter 6: Conclusion -- Appendix A: Polar Decomposition -- Bibliography -- Authors' Biographies -- Index.

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 w qubits, is described by an n x n unitary matrix with n = 2w, a reversible classical circuit, acting on w bits, is described by a 2w x 2w permutation matrix. The permutation matrices are studied in group theory of finite groups (in particular the symmetric group Sn) the unitary matrices are discussed in group theory of continuous groups (a.k.a. Lie groups, in particular the unitary group U(n)). 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. 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.

ISBN: 168173379XSubjects--Topical Terms:

653210
Computers
--Circuits.

LC Class. No.: TK7888.4

Dewey Class. No.: 621.395

Synthesis of quantum circuits vs. synthesis of classical reversible circuits
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490 1 $a Synthesis Lectures on Digital Circuits and Systems ; $v 54.
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520 3 $a 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 w qubits, is described by an n x n unitary matrix with n = 2w, a reversible classical circuit, acting on w bits, is described by a 2w x 2w permutation matrix. The permutation matrices are studied in group theory of finite groups (in particular the symmetric group Sn) the unitary matrices are discussed in group theory of continuous groups (a.k.a. Lie groups, in particular the unitary group U(n)). 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. 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.
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