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Synthesis Lectures on Digital Circuits & Systems
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Synthesis Lectures on Digital Circuits & Systems
Vos, Alexis De; Baerdemacker, Stijn De; Rentergem, Yvan Van
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.Details
Published by: Springer
Publication Date: 2018-07-03
Format: Paperback
ISBN-13: 9783031798948
DOI: 10.1007/978-3-031-79895-5
Dimensions: 235cm x191cm
Pages: 109