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Synthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits
Alexis de Vos, Stijn de Baerdemacker, Yvan Van Rentergem
63,45 €
+ 126 points
Format
Description
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.
Spécifications
Parties prenantes
- Auteur(s) :
- Editeur:
Contenu
- Nombre de pages :
- 109
- Langue:
- Anglais
- Collection :
Caractéristiques
- EAN:
- 9783031798948
- Date de parution :
- 03-07-18
- Format:
- Livre broché
- Format numérique:
- Trade paperback (VS)
- Dimensions :
- 191 mm x 235 mm
- Poids :
- 256 g
