Abstract
Distillability sudden death and sudden birth in a two-qutrit system locally subject to amplitude damping channel at a finite temperature have been studied in detail. By using the negativity and the realignment criterion, the results show that certain initially prepared free entangled states under amplitude damping channel at a finite temperature may become bound entangled or separable states in a finite time. Moreover, we have also demonstrated initially prepared bound entangled or separable states may also become distillable entangled states in a finite time.
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Bellomo, B., Compagno, G., D’Arrigo, A., Falci, G., Lo Franco, R., Paladino, E.: Entanglement degradation in the solid state: interplay of adiabatic and quantum noise. Phys. Rev. A 81, 062309 (2010)
Bellomo, B., Compagno, G., Lo Franco, R., Ridolfo, A., Savasta, S.: Entanglement dynamics of two independent cavity-embedded quantum dots. Phys. Scr. T 143, 014004 (2011)
Lo Franco, R., Bellomo, B., Maniscalco, S., Compagno, G.: Dynamics of quantum correlations in two-qubit systems within non-Markovian environments. Int. J. Mod. Phys. B 27, 1345053 (2013)
Bellomo, B., Lo Franco, R., Maniscalco, S., Compagno, G.: Two-qubit entanglement dynamics for two different non-Markovian environments. Phys. Scr. T 140, 014014 (2010)
Horodecki, P., Horodecki, M., Horodecki, R.: Bound entanglement can be activated. Phys. Rev. Lett. 82, 1056 (1999)
Yu, T., Eberly, J.H.: Phonon decoherence of quantum entanglement: robust and fragile states. Phys. Rev. B 66, 193306 (2002)
Yu, T., Eberly, J.H.: Finite-time disentanglement via spontaneous emission. Phys. Rev. Lett. 93, 140404 (2004)
Sharma, K.K., Awasthi, S.K., Pandey, S.N.: Entanglement sudden death and birth in qubit-qutrit systems under Dzyaloshinskii–Moriya interaction. Quantum Inf. Process. 12, 3437–3447 (2013)
Lo Franco, R., D’Arrigo, A., Falci, G., Compagno, G., Paladino, E.: Entanglement dynamics in superconducting qubits affected by local bistable impurities. Phys. Scr. T 147, 014019 (2012)
Bellomo, B., Lo Franco, R., Andersson, E., Cresser, J.D., Compagno, G.: Dynamics of correlations due to a phase-noisy laser. Phys. Scr. T 147, 014004 (2012)
Lo Franco, R., D’Arrigo, A., Falci, G., Compagno, G., Paladino, E.: Preserving entanglement and nonlocality in solid-state qubits by dynamical decoupling. Phys. Rev. B 90, 054304 (2014)
Bellomo, B., Lo Franco, R., Compagno, G.: Entanglement dynamics of two independent qubits in environments with and without memory. Phys. Rev. A 77, 032342 (2008)
Bellomo, B., Lo Franco, R., Compagno, G.: Non-Markovian effects on the dynamics of entanglement. Phys. Rev. Lett. 99, 160502 (2007)
D’Arrigo, A., Lo Franco, R., Benenti, G., Paladino, E., Falci, G.: Recovering entanglement by local operations. Ann. Phys. 350, 211–224 (2014)
Aolita, L., de Melo, F., Davidovich, L.: Open-system dynamics of entanglement: a key issues review. Rep. Prog. Phys. 78, 042001 (2015)
Orieux, A., D’Arrigo, A., Ferranti, G., Lo Franco, R., Benenti, G., Paladino, E., Falci, G., Sciarrino, F., Mataloni, P.: Experimental on-demand recovery of quantum entanglement by local operations within non-Markovian dynamics. Sci. Rep. 5, 8575 (2015)
Xu, J.S., Sun, K., Li, C.F., Xu, X.Y., Guo, G.C., Andersson, E., Lo Franco, R., Compagno, G.: Experimental recovery of quantum correlations in absence of system-environment back-action. Nat. Commun. 4, 2851 (2013)
Salles, A., Melo, F., Almeida, M.P., Hor-Meyll, M., Walborn, S.P., Souto Ribeiro, P.H., Davidovich, L.: Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment. Phys. Rev. A 78, 022322 (2008)
Leggio, B., Lo Franco, R., Soares-Pinto, D., Horodecki, P., Compagno, G.: Distributed correlations and information flows within a hybrid multipartite quantum-classical system. Phys. Rev. A 92, 032311 (2015)
Man, Z.X., Xia, Y.J., Lo Franco, R.: Cavity-based architecture to preserve quantum coherence and entanglement. Sci. Rep. 5, 13843 (2015)
Song, W., Chen, L., Zhu, S.L.: Sudden death of distillability in qutrit-qutrit systems. Phys. Rev. A 80, 012331 (2009)
Ali, M., Huang, J.: Distillability sudden birth of entanglement for qutrit-qutrit systems. Chin. Phys. Lett. 31, 110301 (2014)
Ali, M.: Distillability sudden death in qutrit–qutrit systems under amplitude damping. J. Phys. B At. Mol. Opt. Phys. 43, 045504 (2010)
Ali, M.: Distillability sudden death in qutrit-qutrit systems under global and multilocal dephasing. Phys. Rev. A 81, 042303 (2010)
Ali, M.: Comments on “Distillability sudden death in qutrit-qutrit systems under thermal reservoir”. Chin. Phys. B 23, 090306 (2014)
Huang, J., Fang, M.F., Yang, B.Y., Liu, X.: Distillability sudden death in a two qutrit systems under a thermal reservoir. Chin. Phys. B 21, 084205 (2012)
Guo, Y.N., Fang, M.F., Zhang, S.Y., Liu, X.: Distillability sudden death in two-qutrit systems with external magnetic field and Dzyaloshinskii–Moriya interaction due to decoherence. Eur. Phys. Lett. 108, 47002 (2014)
Guo, Y.N., Fang, M.F., Zou, H.M., Zhang, S.Y., Liu, X.: Sudden death of distillability in a two-qutrit anisotropic Heisenberg spin model. Quantum Inf. Process. 14, 2067–2076 (2015)
Sun, Z., Wang, X.G., Gao, Y.B., Sun, C.P.: Decoherence in time evolution of bound entanglement. Eur. Phys. J. D 46, 521–530 (2008)
Cheng, W., Xu, F., Li, H., Wang, G.: Entanglement and distillability in qutrit–qutrit systems by convex linear combination. Int. J. Theor. Phys. 52, 1061–1074 (2013)
Derkacz, Ł., Jakóbczyk, L.: Delayed birth of distillable entanglement in the evolution of bound entangled states. Phys. Rev. A 82, 022312 (2010)
Derkacz, Ł., Jakóbczyk, L.: Vacuum-induced stationary entanglement in radiatively coupled three-level atoms. J. Phys. A 41, 205304 (2008)
Derkacz, Ł., Jakóbczyk, L.: Dynamical creation of entanglement versus disentanglement in a system of three-level atoms with vacuum-induced coherences. Phys. Lett. A 372, 7117 (2008)
Baghbanzadeh, S., Alipour, S., Rezakhani, A.T.: Bound entanglement in quantum phase transitions. Phys. Rev. A 81, 042302 (2010)
Baghbanzadeh, S., Rezakhani, A.T.: Distillation of free entanglement from bound entangled states using weak measurements. Phys. Rev. A 88, 062320 (2013)
Guo, J.L., Wei, J.L., Qin, W.: Enhancement of quantum correlations in qubit–qutrit system under decoherence of finite temperature. Quantum Inf. Process. 14, 1399–1410 (2015)
Vidal, G., Werner, R.F.: Computable measure of entanglement. Phys. Rev. A 65, 032314 (2002)
Peres, A.: Separability criterion for density matrices. Phys. Rev. Lett. 77, 1413 (1996)
Zhang, C.J., Zhang, Y.S., Zhang, S., Guo, G.C.: Entanglement detection beyond the computable cross-norm or realignment criterion. Phys. Rev. A 77, 060301 (2008)
Chen, K., Wu, L.A.: A matrix realignment method for recognizing entanglement. Quantum Inf. Comput. 3, 193–202 (2003)
Caves, C.M., Milburn, G.J.: Qutrit entanglement. Opt. Commun. 179, 439–446 (2000)
Acknowledgments
We would like to thank reviewers for their kind suggestions and helpful comments. This work is supported by the National Natural Science Foundation of China (Grant Nos. 11374096 and 11074072) and Scientific Research Foundation of Hunan Provincial Education Department (No. 13C039).
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Guo, Yn., Fang, Mf., Wang, Gy. et al. Distillability sudden death and sudden birth in a two-qutrit system under decoherence at finite temperature. Quantum Inf Process 15, 2851–2861 (2016). https://doi.org/10.1007/s11128-016-1296-x
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DOI: https://doi.org/10.1007/s11128-016-1296-x