Synthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits

Synthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits
Author :
Publisher : Morgan & Claypool Publishers
Total Pages : 127
Release :
ISBN-10 : 9781681733807
ISBN-13 : 1681733803
Rating : 4/5 (07 Downloads)

Book Synopsis Synthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits by : Alexis De Vos

Download or read book Synthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits written by Alexis De Vos and published by Morgan & Claypool Publishers. This book was released on 2018-07-03 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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