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Mathematical foundations of quantum computing :a scaffolding approach /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematical foundations of quantum computing :James M. Yu, Peter Y. Lee, Ran Cheng.
其他題名:	a scaffolding approach /
作者:	Yu, James M.,
其他作者:	Lee, Peter Y.,
面頁冊數:	xiv, 552 pages :illustrations (black and white) ;26 cm
標題:	Quantum computingMathematics.
ISBN:	9781961880108

Mathematical foundations of quantum computing :a scaffolding approach /
Yu, James M.,

Mathematical foundations of quantum computing :a scaffolding approach /James M. Yu, Peter Y. Lee, Ran Cheng. - First edition - xiv, 552 pages :illustrations (black and white) ;26 cm - The scaffolding series.

Includes bibliographical references and index

Preliminaries -- Summation and Product Notations -- Trigonometry -- Complex Numbers -- Sets, Groups, and Functions -- Vectors, Matrices, and Linear Spaces -- Vectors and Vector Spaces -- Inner Product Spaces -- Fundamentals of Matrix Algebra -- Matrices as Linear Operators -- Spectral Decomposition of Matrices -- Matrix Methods for Quantum Computing -- Tensor Products of Vector Spaces -- Functions of Vectors and Matrices -- Pauli Matrices, Strings, and Groups -- Advanced Matrix Decompositions -- A Probability Primer for Quantum Computing -- Fundamentals of Probability -- Stochastic Processes -- Markov Chains -- Monte Carlo Methods

Quantum Computing and Information (QCI) requires a shift in mathematical thinking, going beyond the traditional applications of linear algebra and probability. This book focuses on building the specialized mathematical foundation needed for QCI, explaining the unique roles of matrices, outer products, tensor products, and the Dirac notation. Special matrices crucial to quantum operations are explored, and the connection between quantum mechanics and probability theory is made clear. Recognizing that diving straight into advanced concepts can be overwhelming, this book starts with a focused review of essential preliminaries like complex numbers, trigonometry, and summation rules. It serves as a bridge between traditional math education and the specific requirements of quantum computing, empowering learners to confidently navigate this fascinating and rapidly evolving field. --

ISBN: 9781961880108

Standard No.: CIPO000147909

Nat. Bib. No.: GBC4E7914bnb

Nat. Bib. Agency Control No.: 300380938UkSubjects--Topical Terms:

771513
Quantum computing
--Mathematics.

LC Class. No.: QA76.889 / .Y82 2025

Dewey Class. No.: 006.38430151

Mathematical foundations of quantum computing :a scaffolding approach /
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020 $z 9781961880085 $q Kindle ebook
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029 0 $a UKMGB $b 300380938
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100 1 $a Yu, James M., $e author. $3 990712
245 1 0 $a Mathematical foundations of quantum computing : $b a scaffolding approach / $c James M. Yu, Peter Y. Lee, Ran Cheng.
250 $a First edition
264 1 $a [Middletown, NY] : $b Polaris QCI Publishing, $c 2025.
264 4 $c ©2025
300 $a xiv, 552 pages : $b illustrations (black and white) ; $c 26 cm
336 $a text $2 rdacontent
336 $a still image $2 rdacontent
337 $a unmediated $2 rdamedia
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490 0 $a The scaffolding series
504 $a Includes bibliographical references and index
505 0 $a Preliminaries -- Summation and Product Notations -- Trigonometry -- Complex Numbers -- Sets, Groups, and Functions -- Vectors, Matrices, and Linear Spaces -- Vectors and Vector Spaces -- Inner Product Spaces -- Fundamentals of Matrix Algebra -- Matrices as Linear Operators -- Spectral Decomposition of Matrices -- Matrix Methods for Quantum Computing -- Tensor Products of Vector Spaces -- Functions of Vectors and Matrices -- Pauli Matrices, Strings, and Groups -- Advanced Matrix Decompositions -- A Probability Primer for Quantum Computing -- Fundamentals of Probability -- Stochastic Processes -- Markov Chains -- Monte Carlo Methods
520 $a Quantum Computing and Information (QCI) requires a shift in mathematical thinking, going beyond the traditional applications of linear algebra and probability. This book focuses on building the specialized mathematical foundation needed for QCI, explaining the unique roles of matrices, outer products, tensor products, and the Dirac notation. Special matrices crucial to quantum operations are explored, and the connection between quantum mechanics and probability theory is made clear. Recognizing that diving straight into advanced concepts can be overwhelming, this book starts with a focused review of essential preliminaries like complex numbers, trigonometry, and summation rules. It serves as a bridge between traditional math education and the specific requirements of quantum computing, empowering learners to confidently navigate this fascinating and rapidly evolving field. -- $c Publisher's description.
650 0 $a Quantum computing $x Mathematics. $3 771513
650 0 $a Computer science $x Mathematics. $3 181991
650 6 $a Informatique quantique $x Mathématiques. $0 (CaQQLa)201-0380112 $3 990728
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700 1 $a Lee, Peter Y., $d 1963-, $e author. $3 990713
700 1 $a Cheng, Ran, $e author. $3 990714
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