000			01541 a2200217 4500
005			20200121145329.0
008			200120b xxu||||| |||| 00| 0 eng d
020			_a9783030123574
040			_cIIT Kanpur
041			_aeng
082			_a530.12 _bSch28m
100			_aScherer, Wolfgang
245			_aMathematics of quantum computing _ban introduction _cWolfgang Scherer
260			_bSpringer _c2019 _aSwitzerland
300			_axix, 764p
520			_aThis 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			_aMathematics
650			_aQuantum computers
650			_aQuantum theory
942			_cBK
999			_c561148 _d561148