DocumentCode
166802
Title
The Decomposition of U(n) into XU(n) and ZU(n)
Author
De Vos, Alexis ; De Baerdemacker, Stijn
Author_Institution
Vakgroep Elektronika en Informatiesystemen, Univ. Gent, Ghent, Belgium
fYear
2014
fDate
19-21 May 2014
Firstpage
173
Lastpage
177
Abstract
Any matrix of the unitary group U(n) can (up to a global phase) be decomposed into 2n-1 matrices from two subgroups, denoted XU(n) and ZU(n). This leads to the decomposition of an arbitrary quantum circuit into NEGATOR circuits and PHASOR circuits. The NEGATOR circuits are closely related to classical reversible computation.
Keywords
logic circuits; matrix algebra; quantum gates; NEGATOR circuits; PHASOR circuits; arbitrary quantum circuit decomposition; reversible computation; unitary group matrix; Computational modeling; Logic gates; Matrix decomposition; Physics; Quantum computing; quantum computing; reversible computing;
fLanguage
English
Publisher
ieee
Conference_Titel
Multiple-Valued Logic (ISMVL), 2014 IEEE 44th International Symposium on
Conference_Location
Bremen
ISSN
0195-623X
Type
conf
DOI
10.1109/ISMVL.2014.38
Filename
6845016
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