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Mathematics of quantum computingan i...

Scherer, Wolfgang.

Mathematics of quantum computingan introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematics of quantum computingby Wolfgang Scherer.
Reminder of title:	an introduction /
Author:	Scherer, Wolfgang.
Published:	Cham :Springer International Publishing :2019.
Description:	xix, 764 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Quantum theoryMathematics.
Online resource:	https://doi.org/10.1007/978-3-030-12358-1
ISBN:	9783030123581$q(electronic bk.)

Mathematics of quantum computingan introduction /
Scherer, Wolfgang.

Mathematics of quantum computingan introduction /[electronic resource] :by Wolfgang Scherer. - Cham :Springer International Publishing :2019. - xix, 764 p. :ill., digital ;24 cm.

Introduction -- Basic Notions of Quantum Mechanics -- Tensor Products and Composite Systems -- Entanglement -- Quantum Gates and Circuits for Elementary Calculations -- On the Use of Entanglement -- Error Correction -- Adiabatic Quantum Computing -- Epilogue Appendices: A Elementary Probability Theory -- B Elementary Arithmetic Operations -- C LANDAU Symbols -- D Modular Arithmetic -- E Continued Fractions -- F Some Group Theory -- G Proof of a Quantum Adiabatic Theorem -- Solutions to Exercises.

This textbook presents the elementary aspects of quantum computing in a mathematical form. It is intended as core or supplementary reading for physicists, mathematicians, and computer scientists taking a first course on quantum computing. It starts by introducing the basic mathematics required for quantum mechanics, and then goes on to present, in detail, the notions of quantum mechanics, entanglement, quantum gates, and quantum algorithms, of which Shor's factorisation and Grover's search algorithm are discussed extensively. In addition, the algorithms for the Abelian Hidden Subgroup and Discrete Logarithm problems are presented and the latter is used to show how the Bitcoin digital signature may be compromised. It also addresses the problem of error correction as well as giving a detailed exposition of adiabatic quantum computing. The book contains around 140 exercises for the student, covering all of the topics treated, together with an appendix of solutions.

ISBN: 9783030123581$q(electronic bk.)

Standard No.: 10.1007/978-3-030-12358-1doiSubjects--Topical Terms:

207816
Quantum theory
--Mathematics.

LC Class. No.: QC174.17.M35 / S34 2019

Dewey Class. No.: 530.12

Mathematics of quantum computingan introduction /
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100 1 $a Scherer, Wolfgang. $3 855822
245 1 0 $a Mathematics of quantum computing $h [electronic resource] : $b an introduction / $c by Wolfgang Scherer.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xix, 764 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Basic Notions of Quantum Mechanics -- Tensor Products and Composite Systems -- Entanglement -- Quantum Gates and Circuits for Elementary Calculations -- On the Use of Entanglement -- Error Correction -- Adiabatic Quantum Computing -- Epilogue Appendices: A Elementary Probability Theory -- B Elementary Arithmetic Operations -- C LANDAU Symbols -- D Modular Arithmetic -- E Continued Fractions -- F Some Group Theory -- G Proof of a Quantum Adiabatic Theorem -- Solutions to Exercises.
520 $a This textbook presents the elementary aspects of quantum computing in a mathematical form. It is intended as core or supplementary reading for physicists, mathematicians, and computer scientists taking a first course on quantum computing. It starts by introducing the basic mathematics required for quantum mechanics, and then goes on to present, in detail, the notions of quantum mechanics, entanglement, quantum gates, and quantum algorithms, of which Shor's factorisation and Grover's search algorithm are discussed extensively. In addition, the algorithms for the Abelian Hidden Subgroup and Discrete Logarithm problems are presented and the latter is used to show how the Bitcoin digital signature may be compromised. It also addresses the problem of error correction as well as giving a detailed exposition of adiabatic quantum computing. The book contains around 140 exercises for the student, covering all of the topics treated, together with an appendix of solutions.
650 0 $a Quantum theory $x Mathematics. $3 207816
650 0 $a Quantum computing. $3 725269
650 1 4 $a Quantum Information Technology, Spintronics. $3 379903
650 2 4 $a Quantum Computing. $3 573152
650 2 4 $a Theory of Computation. $3 274475
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 376743
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-3-030-12358-1
950 $a Physics and Astronomy (Springer-11651)