Journal of University of Chinese Academy of Sciences >
Weak measurement-based decoherence control of quantum systems
Received date: 2009-09-15
Revised date: 2010-04-19
Online published: 2010-09-15
Supported by
Supported by the National Natural Science Foundation of China (60774098), the National Key Basic Research Program (2006CB922004), and the USTC Initiative Foundation (KD2007045)
Properties and potential applications of weak measurement are investigated. First, a kind of positive operator-valued measurement is defined, and a sufficient condition is deduced for weak measurement from the view of linear normed space. Secondly, the applicability of weak measurement is discussed. It is shown that weak measurement is applicable not only to a set of identical quantum systems, but also to a single quantum system if any measurement operator can be selectively implemented. Finally, the effects of weak measurement on different quantum systems are studied. For a set of identical quantum systems, weak measurement affects states as a dephasing process. However, for a two-level single quantum system, it can be used to inhibit dephasing and to depolarization processes.
LOU Yue-Sheng , CONG Shuang . Weak measurement-based decoherence control of quantum systems[J]. Journal of University of Chinese Academy of Sciences, 2010 , 27(5) : 590 -598 . DOI: 10.7523/j.issn.2095-6134.2010.5.003
[1] Ezawa H, Murayama Y. Quantum control and measurement
[M].North-Holland, Amsterdam, 1993.
[2] Wiseman H M. Quantum theory of continuous feedback
[J]. Phys Rev A, 1994, 49:2133.
[3] Doherty A C, Habib S, Jacobs K, et al. Quantum feedback control and classical control theory
[J]. Phys Rev A, 2000, 62:012105-012117.
[4] Ganesan N, Tarn T J. Decoherence control in open quantum systems via classical feedback
[J]. Phys Rev A, 2007, 75:032323-032341.
[5] Nielsen M A, Chuang I L. Quantum computation and quantum information
[M]. Cambridge University Press, 2000.
[6] Bennett C H, DiVincenzo D P, Fuchs C A, et al. Quantum nonlocality without entanglement
[J]. Phys Rev A, 1999, 59(2):1070-1090.
[7] Lloyd S, Slotine J J E. Quantum feedback with weak measurements
[J]. Phys Rev A, 2000, 62:012307-012311.
[8] Audretsch J, Diósi L, Konrad T. Evolution of a qubit under the influence of a succession of weak measurements with unitary feedback
[J]. Phys Rev A, 2002, 66:022310-022320.
[9] Johansen L M. Weak Measurements with arbitrary probe states
[J]. Phys Rev Lett, 2004, 93:120402-120405.
[10] Oreshkov O, Brun T A. Weak measurements are universal
[J]. Phys Rev Lett, 2005, 95:110409-110412.
[11] Ruskov R, Korotkov A N, Mize A. Signatures of quantum behavior in single-qubit weak measurements
[J]. Phys Rev Let, 2006, 96:200404-200407.
[12] Wang S K, Jin J S, Li X Q. Continuous weak measurement and feedback control of a solid-state charge qubit: A physical unravelling of non-Lindblad master equation
[J]. Phys Rev B, 2007, 75:155304-155311.
[13] Vandersypen L M K, Chuang I L. NMR techniques for quantum control and computation
[J]. Rev Mod Phys, 2004, 76(4):1037-1069.
[14] Negrevergne C, Somma R, Ortiz G, et al. Liquid-state NMR simulations of quantum many-body problems
[J]. Phys Rev A, 2005, 71:032344-032354.
[15] Ye H A. Consolidation and fonctionelle
[M]. Hefei: University of science and technology of China Press, 1991.
[16] Walls D F, Milburn G J. Quantum optics
[M]. Berlin: Springer, 1994.
/
| 〈 |
|
〉 |