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Mathematics of Quantum Computing = An Introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematics of Quantum Computing/ by Wolfgang Scherer.
其他題名:	An Introduction /
作者:	Scherer, Wolfgang.
面頁冊數:	XIX, 764 p. 816 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Quantum computers. -
電子資源:	https://doi.org/10.1007/978-3-030-12358-1
ISBN:	9783030123581

Mathematics of Quantum Computing = An Introduction /
Scherer, Wolfgang.

Mathematics of Quantum ComputingAn Introduction /[electronic resource] :by Wolfgang Scherer. - 1st ed. 2019. - XIX, 764 p. 816 illus.online resource.

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

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

564139
Quantum computers.

LC Class. No.: QA76.889

Dewey Class. No.: 621.3

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