书目名称 | Synthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits | 编辑 | Alexis Vos,Stijn Baerdemacker,Yvan Rentergem | 视频video | | 丛书名称 | Synthesis Lectures on Digital Circuits & Systems | 图书封面 |  | 描述 | 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 ?? × ?? unitary matrix with ??=2??, a reversible classical circuit, acting on ?? bits, is described by a 2?? × 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.. | 出版日期 | Book 2018 | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-79895-5 | isbn_softcover | 978-3-031-79894-8 | isbn_ebook | 978-3-031-79895-5Series ISSN 1932-3166 Series E-ISSN 1932-3174 | issn_series | 1932-3166 | copyright | Springer Nature Switzerland AG 2018 |
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