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Synthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits.
・ISBN 978-3-031-79894-8 paper EUR 59.99
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| 著者・編者 | Vos, Alexis De / Baerdemacker, Stijn De / Rentergem, Yvan Van, |
|---|---|
| シリーズ | (Synthesis Lectures on Digital Circuits & Systems) |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 109 pp. |
| 言語 | ENG |
| ニュース番号 | <A02-83514> |
解説
At first sight, quantum computing is completely different from classical computing. Nevertheless, a link is provided by reversible computation. Whereas an arbitrary quantum circuit, acting on ?? qubits, is described by an ?? x ?? unitary matrix with ??=2??, a reversible classical circuit, acting on ?? bits, is described by a 2?? x 2?? permutation matrix. The permutation matrices are studied in group theory of finite groups (in particular the symmetric group ????); the unitary matrices are discussed in group theory of continuous groups (a.k.a. Lie groups, in particular the unitary group U(??)). Both the synthesis of a reversible logic circuit and the synthesis of a quantum logic circuit take advantage of the decomposition of a matrix: the former of a permutation matrix, the latter of a unitary matrix. In both cases the decomposition is into three matrices. In both cases the decomposition is not unique.