Mathematics of Quantum Computing

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This textbook presents the elementary aspects of quantum computing in a mathematical form. 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 qua… Celý popis ↓

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Popis Mathematics of Quantum Computing

Mathematics of Quantum Computing

This textbook presents the elementary aspects of quantum computing in a mathematical form. 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. It is intended as core or supplementary reading for physicists, mathematicians, and computer scientists taking a first course on quantum computing.

It also addresses the problem of error correction as well as giving a detailed exposition of adiabatic quantum computing. 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. 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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Springer Nature Switzerland AG

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