GUO Xiuli, ZHANG Yanliang, KANG Guodong, ZHOU Qingping. Entanglement Protection of Two-Qubit System in Non-Markovian Reservoir via Weak Measurement and Weak Measurement Reversal[J]. Chinese Journal of Electronics, 2019, 28(3): 593-597. doi: 10.1049/cje.2018.06.004
Citation: GUO Xiuli, ZHANG Yanliang, KANG Guodong, ZHOU Qingping. Entanglement Protection of Two-Qubit System in Non-Markovian Reservoir via Weak Measurement and Weak Measurement Reversal[J]. Chinese Journal of Electronics, 2019, 28(3): 593-597. doi: 10.1049/cje.2018.06.004

Entanglement Protection of Two-Qubit System in Non-Markovian Reservoir via Weak Measurement and Weak Measurement Reversal

doi: 10.1049/cje.2018.06.004
Funds:  This work is supported by the National Natural Science Foundation of China (No.11464015), the Provincial Natural Science Foundation of Hunan (No.14jj6035), and Education Department Outstanding Young Project of Hunan (No.14B147).
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  • Corresponding author: ZHOU Qingping (corresponding author) was born in Hunan Province, China, in 1965. He was the post doctoral researcher from the College of Physics and Information Science, Hunan Normal University, China, in 2005. Currently he is a professor in College of Physical and Mechanical and Electrical engineering of Jishou University. His research interests include quantum computation and quantum information. He has been conducting research on controlling of quantum entanglement and quantum information processing within atomic and optoelectronic systems for many years. (Email:qingpingzhou@163.com)
  • Received Date: 2017-08-02
  • Publish Date: 2019-05-10
  • The protection schemes of the entanglement in the system of two entangled atoms from nonMarkovian reservoirs via previous Weak measurement (pre-WM) and posterior Weak measurement reversal (post-WMR) are investigated. We firstly compare the effects of combination applying of pre-WM and post-WMR (scheme 1) and twice Weak measurements (WMs) (scheme 2) in the condition of different initial entangled states. The analysis indicates that the protection performance of scheme 1 is much better than that of scheme 2. The scheme 1 was utilized when the system of two entangled atoms suffers from the independent reservoirs. The numerical results show that the combination of pre-WM and postWMR can effectively enhance entanglement and shorten the time of Entanglement sudden death (ESD) in nonMakovain environment. We have found the optimum of WM strengthens is drastically related to the initial entangled state.
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  • M. A. Nielsen and I. Chuang, "Quantum computation and quantum information", American Journal of Physics, Vol.70, No.558, pp.558-559, 2002.
    H.P. Breuer and F. Petruccione, "The theory of open quantum systems", Oxford University Press New York, USA, pp.314-318, 2002.
    A.R. Calderbank and P.W. Shor, "Good quantum errorcorrecting codes exist", Physical Review A, Vol.54, No.2, pp.1098-1105, 1996.
    E. Knill and R. Laflamme, "Theory of quantum errorcorrecting codes", Physical Review A, Vol.55, No.2, pp.900-911, 1997.
    A.M. Steane, "Error correcting codes in quantum theory", Physical Review Letters, Vol.77, No.5, pp.793-797, 1996.
    R.L. Franco, et al., "Preserving entanglement and nonlocality in solid-state qubits by dynamical decoupling", Physical Review B, Vol.90, No.90, pp.0543041-05430412, 2014.
    J. Li, G. Li, et al., "Enhanced entanglement of two different mechanical resonators via coherent feedback", Phys. Rev. A, Vol.95, No.4, pp.0438191-0438198, 2017.
    Q. Sun, M. Al-Amri, L. Davidovich and M.S. Zubairy, "Reversing entanglement change by a weak measurement", Physical Review A, Vol.82, No.5, pp.0523231-0523235, 2010.
    Y. Ota, S. Ashhab and F. Nori, "Entanglement amplification via local weak measurements", Journal of Physics A Mathematical Theoretical, Vol.45, No.41, pp.4153031-4153035, 2012.
    Y.S. Kim, J.C. Lee, O. Kwon, et al., "Protecting entanglement from decoherence using weak measurement and quantum measurement reversal", Nature Physics, Vol.8, No.2, pp.117-120, 2012.
    C. Yao, Z.H. Ma, Z.H. Chen, et al., "Robust tripartiteto-bipartite entanglement localization by weak measurements and reversal", Physical Review A, Vol.86, No.2, pp.0223121-0223127, 2012.
    Z.X. Man, Y.J. Xia and N.B. An, "Manipulating entanglement of two qubits in a common environment by means of weak measurements and quantum measurement reversals", Physical Review A, Vol.86, No.1, pp.0123251-0123259, 2012.
    S.C. Wang, Z.W. Yu, W.J. Zou, et al., "Protecting quantum states from decoherence of finite temperature using weak measurement", Physical Review A, Vol.89, No.2, pp.0223181-0223188, 2014.
    H.P. Breuer, E.M. Laine and J. Piilo, "Measure for the degree of non-markovian behavior of quantum processes in open systems", Physical Review Letters, Vol.103, No.21, pp.2104011-2104014, 2009.
    S. Alipour, A. Mani and A.T. Rezakhani, "Quantum discord and non-Markovianity of quantum dynamics", Physical Review A, Vol.85, No.85, pp.4678-4686, 2012.
    B.H. Liu, Y.F. Huang, et al., "Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems", Nature Physics, Vol.7, No.12, pp.931-934, 2011.
    S.H. Chen and J.L. Xiao, "The decoherence of the unsymmetrical parabolic confinement potential quantum dot qubit", Chinese Journal of Electronics, Vol.18, No.2, pp.262-264, 2009.
    Q.P. Zhou, Y.L. Zhang, et al., "Remote generation of quantum communication channel with continuous variable via beam splitters", Chinese Journal of Electronics, Vol.19, No.2, pp.329-332, 2010.
    X. Xiao, Y. Yao, Y.M. Xie, et al., "Protecting entanglement from correlated amplitude damping channel using weak measurement and quantum measurement reversal", Quantum Information Processing, Vol.15, No.9, pp.3881-3891, 2016.
    D.W. Lyons, A.M. Skelton and S.N. Walck, "Werner state structure and entanglement classification", Advances in Mathematical Physics, Vol.2012, No.18, pp.255-259, 2012.
    C.H. Bennett, D.P. DiVincenzo, J.A. Smolin, et al., "Mixedstate entanglement and quantum error correction", Physical Review A, Vol.54, No.5, pp.3824-3851, 1996.
    J. Laurat, K.S. Choi, H. Deng, et al., "Heralded entanglement between atomic ensembles:preparation, decoherence, and scaling", Physical review letters, Vol.99, No.18, pp.1805041-1805044, 2007.
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