Synthesis of Quantum Circuits vs Synthesis of Classical Reversible Circuits is popular PDF and ePub book, written by Alexis De Vos in 2022-05-31, it is a fantastic choice for those who relish reading online the Technology & Engineering genre. Let's immerse ourselves in this engaging Technology & Engineering book by exploring the summary and details provided below. Remember, Synthesis of Quantum Circuits vs Synthesis of Classical Reversible Circuits can be Read Online from any device for your convenience.
Synthesis of Quantum Circuits vs Synthesis of Classical Reversible Circuits Book PDF Summary
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.
Detail Book of Synthesis of Quantum Circuits vs Synthesis of Classical Reversible Circuits PDF
- Author : Alexis De Vos
- Release : 31 May 2022
- Publisher : Springer Nature
- ISBN : 9783031798955
- Genre : Technology & Engineering
- Total Page : 109 pages
- Language : English
- PDF File Size : 18,5 Mb
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