Protecting Quantum Correlation from Correlated Amplitude Damping Channel
Tóm tắt
In this work, we investigate the dynamics of quantum correlation measured by measurement-induced nonlocality (MIN) and local quantum uncertainty (LQU) in correlated amplitude damping (CAD) channel. We find that the memory parameter brings different influences on MIN and LQU. In addition, we propose a scheme to protect quantum correlation by executing prior weak measurement (WM) and post-measurement reversal (MR). However, better protection of quantum correlation by the scheme implies a lower success probability (SP).
Tài liệu tham khảo
H. Ollivier, W.H. Zurek, Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)
L. Henderson, V. Vedral, Classical, quantum and total correlations. J. Phys. A: Math. Gen. 34, 6899 (2001)
B. Dakić, V. Vedral, Č Brukner, Necessary and sufficient condition for nonzero quantum discord. Phys. Rev. Lett. 105, 190502 (2010)
S. Luo, S. Fu, Geometric measure of quantum discord. Phys. Rev. A. 82, 034302 (2010)
Z.M. Huang, D.W. Qiu, Geometric quantum discord under noisy environment. Quantum. Inf. Process. 15, 1979 (2016)
F.M. Paula, T.R. de Oliveira, M.S. Sarandy, Geometric quantum discord through the Schatten 1-norm. Phys. Rev. A. 87, 064101 (2013)
T. Nakano, M. Piani, G. Adesso, Negativity of quantumness and its interpretations. Phys. Rev. A. 88, 012117 (2013)
Z.M. Huang, H.Z. Situ, Dynamics of quantum correlation and coherence for two atoms coupled with a bath of fluctuating massless scalar feld. Ann. Phys. 377, 484 (2017)
S Luo, Using measurement-induced disturbance to characterize correlations as classical or quantum. Phys. Rev. A. 77, 022301 (2008)
S. Luo, S. Fu, Measurement-induced nonlocality. Phys. Rev. Lett. 106, 120401 (2011)
D. Girolami, T. Tufarelli, G. Adesso, Characterizing nonclassical correlations via local quantum uncertainty. Phys. Rev. Lett. 110, 240402 (2013)
S. Xu, X.K. Song, L. Ye, Negativity and geometric quantum discord as indicators of quantum phase transition in the XY model with Dzyaloshinskii-Moriya interactionInt. J. Mod. Phys. B. 27, 1350074 (2013)
X.K. Song, T. Wu, L. Ye, RenorMalization of quantum discord and Bell nonlocality in the XXZ model with Dzyaloshinskii-Moriya interaction. Ann. Phys. 349, 220 (2014)
Z.M. Huang, H.Z. Situ, C. Zhang, Quantum coherence and correlation in spin models with Dzyaloshinskii-Moriya interaction. Int. J. Theor. Phys. doi:10.1007/s10773-017-3364-0 (2017)
B. Dakić, Y.O. Lipp, X. Ma, M. Ringbauer, S. Kropatschek, S. Barz, T. Paterek, V. Vedral, A. Zeilinger, C. Brukner, P. Walther, Quantum discord as resource for remote state preparation. Nat. Phys. 8, 666 (2012)
S. Pirandola, Quantum discord as a resource for quantum cryptography. Sci. Rep. 4, 6956 (2014)
K. Modi, H. Cable, M. Williamson, V. Vedral, Entanglement versus classical correlations in quantum metrology with thermal states. Phys. Rev. X. 1, 021022 (2011)
H.M. Wiseman, S.J. Jones, A.C. Doherty, Steering, entanglement, nonlocality, and the Einstein-Podolsky-Rosen paradox. Phys. Rev. Lett. 98, 140402 (2007)
C.H. Bennett, D.P. DiVincenzo, P.W. Shor, J.A. Smolin, B.M. Terhal, W.K. Wootters, Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)
X. Li, Q. Pan, J. Jing, J. Zhang, C. Xie, K. Peng, Quantum dense coding exploiting a bright Einstein-Podolsky-Rosen beam. Phys. Rev. Lett. 88, 047904 (2002)
V. Giovannetti, S. Lloyd, L. Maccone, Advances in quantum metrology. Nat. Photonics. 5, 222 (2011)
F. Hansen, Metric adjusted skew information. Proc. Natl. Acad. Sci. U.S.A. 105, 9909 (2008)
M. Gu, K. Wiesner, E. Rieper, V. Vedral, Quantum mechanics can reduce the complexity of classical models. Nat. Commun. 3, 762 (2012)
M. Ramzan, Decoherence dynamics of geometric measure of quantum discord and measurement induced nonlocality for noninertial observers at finite temperature. Quantum. Inf. Process. 12, 2721 (2013)
A. Sen, D. Sarkar, A. Bhar, Decoherence dynamics of measurement-induced nonlocality and comparison with geometric discord for two qubit systems. Quantum. Inf. Process. 12, 3007 (2013)
J.S. Sales, W.B. Cardoso, A.T. Avelar, N.G. de Almeida, Dynamics of nonclassical correlations via local quantum uncertainty for atom and field interacting into a lossy cavity QED. Physica A. 443, 399 (2016)
P.G. Kwiat, S. Barraza-Lopez, A. Stefanov, N. Gisin, Experimental entanglement distillation and ‘hidden’ non-locality. Nature. 409, 1014 (2001)
J.W. Pan, S. Gasparoni, R. Ursin, G. Weihs, A. Zeilinger, Experimental entanglement purification of arbitrary unknown states. Nature (London). 423, 417 (2003)
R. Dong, et al., Experimental entanglement distillation of mesoscopic quantum states. Nat. Phys. 4, 919 (2008)
S. Maniscalco, F. Francica, R.L. Zaffino, N.L. Gullo, F. Plastina, Protecting entanglement via the quantum Zeno effect. Phys. Rev. Lett. 100, 090503 (2008)
Y. Kondo, Y. Matsuzaki, K. Matsushima, J.G. Filgueiras, Using the quantum Zeno effect for suppression of decoherence. New. J. Phys. 18, 013033 (2016)
P.G. Kwiat, A.J. Berglund, J.B. Alterpeter, A.G. White, Experimental verification of decoherencefree subspaces. Science. 290, 498 (2000)
W. Qin, C. Wang, X. Zhang, Protected quantum-state transfer in decoherence-free subspaces. Phys. Rev. A. 91, 042303 (2015)
Y.S. Kim, J.C. Lee, O. Kwon, Y.H. Kim, Protecting entanglement from decoherence using weak measurement and quantum measurement reversal. Nat. Phys. 8, 117 (2012)
J. He, S. Xu, L. Ye, Inducing multipartite entanglement revival in dissipative environment by means of prior quantum uncollapsing measurements. Physica A. 438, 66 (2015)
S. Xu, J. He, X.K. Song, J.D. Shi, L. Ye, Optimized decoherence suppression of two qubits in independent non-Markovian environments using weak measurement and quantum measurement reversal. Quantum Inf. Process. 14, 755 (2015)
Y.J. Zhang, W. Han, H. Fan, Y.J. Xia, Enhancing entanglement trapping by weak measurement and quantum measurement reversal. Ann. Phys. 354, 203 (2015)
J. Yune, et al., Quantum discord protection from amplitude damping decoherence. Opt. Express. 23, 26012 (2015)
X. Xiao, Y. Yao, Y. M. Xie, X.H. Wang, Y.L. Li, Protecting entanglement from correlated amplitude damping channel using weak measurement and quantum measurement reversal. Quantum Inf. Process. 15, 3881 (2016)
Z.M. Huang, D.W. Qiu, P. Mateus, Geometry and dynamics of one-norm geometric quantum discord. Quantum. Inf. Process. 15, 301 (2016)
E.P. Wigner, M.M. Yanase, Information contents of distributions. Proc. Natl. Acad. Sci. U.S.A. 49, 910 (1963)
M.A. Nielsen, I.L. Chuang. Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)
C. Macchiavello, G.M. Palma, Entanglement-enhanced information transmission over a quantum channel with correlated noise. Phys. Rev. A. 65(R), 050301 (2002)
N.A.H. Arshed, Toor Entanglement-assisted capacities of time-correlated amplitude-damping channel. arXiv:1307.5403 (2013)
Y. Yeo, A. Skeen, Time-correlated quantum amplitude-damping channel. Phys. Rev. A. 67, 064301 (2003)
J. Maziero, L. C. Céleri, R.M. Serra, V. Vedral, Classical and quantum correlations under decoherence. Phys. Rev. A. 80, 044102 (2009)
L. Mazzola, J. Piilo, S. Maniscalco, Sudden transition between classical and quantum decoherence. Phys. Rev. Lett. 104, 200401 (2010)