DocumentCode :
3115188
Title :
Feedback control of quantum entanglement in a two-spin system
Author :
Yamamoto, Naoki ; Tsumura, Koji ; Hara, Shinji
Author_Institution :
Control and Dynamical Systems, California Institute of Technology, Pasadena, California 91125, USA naoki@cds.caltech.edu
fYear :
2005
fDate :
12-15 Dec. 2005
Firstpage :
3182
Lastpage :
3187
Abstract :
A pair of spins is the most simple quantum system that can possess entanglement, a non-classical property playing an essential role in quantum information technologies. In this paper, feedback control problems of the two-spin system conditioned on a continuous measurement are considered. In order to make some useful formulas in stochastic control theory directly applicable, we first derive a two-dimensional description of the system. We then prove that a feedback controller stabilizes an entangled state of the two spins almost globally with probability one. Furthermore, it is shown that another entangled state, which corresponds to a non-equilibrium point of the dynamics, is stabilized via feedback in the sense that the expectation of the distance from the target can be made arbitrarily small.
Keywords :
Adaptive control; Control systems; Control theory; Differential equations; Feedback control; Information technology; Quantum computing; Quantum entanglement; Quantum mechanics; Stochastic processes;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
Type :
conf
DOI :
10.1109/CDC.2005.1582651
Filename :
1582651
Link To Document :
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