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Application of generalized operator representation in the time evolution of quantum systems

Application of generalized operator representation in the time evolution of quantum systems We have systematically explored the application of generalized operator representation including P-, W-, and Husimi representation in the time evolution of quantum systems. In particular, by using the method of differentiation within an ordered product of operators, we give the normally and antinormally ordered forms of the integral kernels of Husimi operator representations and its corresponding formulations. By making use of the generalized operator representation, we transform exponentially complex operator equations into tractable phase–space equations. As a simple application, the time evolution equation of Husimi function in the amplitude dissipative channel is clearly obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Application of generalized operator representation in the time evolution of quantum systems

Quantum Information Processing , Volume 15 (10) – Jul 13, 2016

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References (18)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
DOI
10.1007/s11128-016-1386-9
Publisher site
See Article on Publisher Site

Abstract

We have systematically explored the application of generalized operator representation including P-, W-, and Husimi representation in the time evolution of quantum systems. In particular, by using the method of differentiation within an ordered product of operators, we give the normally and antinormally ordered forms of the integral kernels of Husimi operator representations and its corresponding formulations. By making use of the generalized operator representation, we transform exponentially complex operator equations into tractable phase–space equations. As a simple application, the time evolution equation of Husimi function in the amplitude dissipative channel is clearly obtained.

Journal

Quantum Information ProcessingSpringer Journals

Published: Jul 13, 2016

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