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Mathematics of quantum computingan i...

Scherer, Wolfgang.

Mathematics of quantum computingan introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematics of quantum computingby Wolfgang Scherer.
其他題名:	an introduction /
作者:	Scherer, Wolfgang.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xix, 764 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Quantum theoryMathematics.
電子資源:	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

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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.
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