00871nam--2200313---450-99000332097020331620090928122448.0000332097USA01000332097(ALEPH)000332097USA0100033209720090928d1981----km-y0itay50------baengUSa---||||001yyNotes on rubik's magic cubeDavid SingmasterHarmondsworthPenguin books1981IV, 60, 2, 5 p.ill.21 cmGiochi matematici793.74SINGMASTER,David50607ITsalbcISBD990003320970203316793.74 SIN9697/CBS793.7400328500BKSCIRSIAV79020090928USA011224Notes on Rubik's Magic Cube340236UNISA03710nam 22006135 450 991037393330332120200630024000.03-030-12358-810.1007/978-3-030-12358-1(CKB)4100000009845017(DE-He213)978-3-030-12358-1(MiAaPQ)EBC5977987(PPN)248603736(EXLCZ)99410000000984501720191113d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierMathematics of Quantum Computing An Introduction /by Wolfgang Scherer1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XIX, 764 p. 816 illus.) 3-030-12357-X Includes bibliographical references and index.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.Quantum computersSpintronicsComputersMathematical physicsQuantum Information Technology, Spintronicshttps://scigraph.springernature.com/ontologies/product-market-codes/P31070Quantum Computinghttps://scigraph.springernature.com/ontologies/product-market-codes/M14070Theory of Computationhttps://scigraph.springernature.com/ontologies/product-market-codes/I16005Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Quantum computers.Spintronics.Computers.Mathematical physics.Quantum Information Technology, Spintronics.Quantum Computing.Theory of Computation.Theoretical, Mathematical and Computational Physics.530.12530.12Scherer Wolfgangauthttp://id.loc.gov/vocabulary/relators/aut1064459MiAaPQMiAaPQMiAaPQBOOK9910373933303321Mathematics of Quantum Computing2538365UNINA