Effectiveness of depolarizing noise in causing sudden death of entanglement. (English) Zbl 1306.81014
Summary: Continuing on the recent observation that sudden death of entanglement can occur even when a single qubit of a 2-qubit state is exposed to noisy environment [K. O. Yashodamma and it Sudha, “Is composite noise necessary for sudden”, Res. Phys. 3 41–45 (2013; doi:10.1016/j.rinp.2013.02.001)], we examine the local action of a noise on bipartite qubit-qutrit and qutrit-qutrit systems. We show that depolarizing noise causes sudden death of entanglement in both qubit-qutrit and qutrit-qutrit systems even when it acts only on one part of the system. While generalized amplitude damping noise also causes finite-time disentanglement in qubit-qutrit states, the entanglement sudden death occurs much faster due to depolarizing noise. This result strengthens the observation [loc. cit.] that depolarizing noise is more effective than other noise models in causing sudden death of entanglement.
MSC:
| 81P40 | Quantum coherence, entanglement, quantum correlations |
| 81S22 | Open systems, reduced dynamics, master equations, decoherence |
References:
| [1] | Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000) · Zbl 1049.81015 |
| [2] | Zurek, W.H.: Decoherence, einselection and the quantum origins of the classical. Rev. Mod. Phys. 75, 715 (2003) · Zbl 1205.81031 · doi:10.1103/RevModPhys.75.715 |
| [3] | Schlosshawer, M.: Decoherence, the measurement problem and interpretations of quantum mechanics. Rev. Mod. Phys. 76, 1267 (2005) · doi:10.1103/RevModPhys.76.1267 |
| [4] | Simon, C., Kempe, J.: Robustness of multiparty entanglement. Phys. Rev. A 65, 052327 (2002) · doi:10.1103/PhysRevA.65.052327 |
| [5] | Dür, W., Briegel, H.J.: Stability of macroscopic entanglement under decoherence. Phys. Rev. Lett. 92, 180403 (2004) · doi:10.1103/PhysRevLett.92.180403 |
| [6] | Aolita, L., et al.: Scaling laws for the decay of multiqubit entanglement. Phys. Rev. Lett. 100, 080501 (2008) · doi:10.1103/PhysRevLett.100.080501 |
| [7] | Diósi, L.. In: Benatti, F., Floreanini, R. (eds.) Irreversible Quantum Dynamics. Springer, Berlin (2003) · Zbl 1030.00044 |
| [8] | Yu, T., Eberly, J.H.: Finite-time disentanglement via spontaneous emission. Phys. Rev. Lett. 93, 140404 (2004) · doi:10.1103/PhysRevLett.93.140404 |
| [9] | Dodd, P.J., Halliwell, J.J.: Disentanglement and decoherence by open system dynamics. Phys. Rev. A 69, 052105 (2004) · doi:10.1103/PhysRevA.69.052105 |
| [10] | Yu, T., Eberly, J.H.: Quantum open system theory: bipartite aspects. Phys. Rev. Lett. 97, 140403 (2006) · doi:10.1103/PhysRevLett.97.140403 |
| [11] | Roszak, K., Machnikowski, P.: Complete disentanglement by partial pure dephasing. Phys. Rev. A. 73, 022313 (2006) · doi:10.1103/PhysRevA.73.022313 |
| [12] | Yönac, M., Yu, T., Eberly, J.H.: Sudden death of entanglement of two Jaynes-Cummings atoms. J. Phys. B 39, S621 (2006) · doi:10.1088/0953-4075/39/15/S09 |
| [13] | Yu, T., Eberly, J.H.: Sudden death of entanglement: classical noise effects. Opt. Commun. 264, 393 (2006) · doi:10.1016/j.optcom.2006.01.061 |
| [14] | Yu, T., Eberly, J.H.: Sudden death of entanglement. Science 316, 555 (2007) · doi:10.1126/science.1137568 |
| [15] | Yu, T., Eberly, J.H.: Evolution from entanglement to decoherence of bipartite mixed X states. Quantum Inf. Comput. 7, 459 (2007) · Zbl 1152.81830 |
| [16] | Cui, H.T., Li, K., Yi, X.X.: Study on the sudden death of entanglement. Phys. Lett. A 365, 44 (2007) · Zbl 1203.81011 · doi:10.1016/j.physleta.2006.12.049 |
| [17] | Almeida, M.P., et al.: Environment induced sudden death of entanglement. Science 316, 579 (2007) · doi:10.1126/science.1139892 |
| [18] | Ann, K., Jaegar, G.: Local dephasing induced entanglement sudden death in two component finite dimensional systems. Phys. Rev. A 76, 044101 (2007) · doi:10.1103/PhysRevA.76.044101 |
| [19] | Ali, M., Rau, A.R.P., Ranade, K.: Disentanglement in qubit-qutrit systems, arXiv:0710.2238 [quantph] |
| [20] | Ann, K., Jaeger, G.: Entanglement sudden death in qubit-qutrit systems. Phys. Lett. A 372, 579-583 (2008) · Zbl 1217.81010 · doi:10.1016/j.physleta.2007.07.070 |
| [21] | Li, J., Chalapat, K., Paraoanu, G.S.: Enhancement of sudden death of entanglement for driven qubits. J. Low Temp. Phys. 153, 294 (2008) · doi:10.1007/s10909-008-9843-1 |
| [22] | Bellomo, B., et al.: Entanglement degradation in the solid state: interplay of adiabatic and quantum noise. Phys. Rev. A 81, 062309 (2010) · doi:10.1103/PhysRevA.81.062309 |
| [23] | Khan, S.: Generation and sudden death of entanglement in qubit-qutrit systems with depolarising noise. Math. Struct. Comput. Sci. 23, 1220 (2013) · Zbl 1286.81021 · doi:10.1017/S0960129512000977 |
| [24] | Franco, R.L., et al.: Entanglement dynamics in superconducting qubits affected by local bistable impurities. Phys. Scr. T147, 014019 (2012) · doi:10.1088/0031-8949/2012/T147/014019 |
| [25] | Qian, X.-F., Eberly, J.H.: Initial conditions and entanglement sudden death. Phys. Lett. A 376, 2931 (2012) · doi:10.1016/j.physleta.2012.08.007 |
| [26] | Yashodamma, K.O., Sudha.: Is composite noise necessary for sudden death of entanglement? J. Res. Phys. 3, 41 (2013) · Zbl 1306.81014 |
| [27] | Rau, A.R.P., Ali, M., Alber, G.: Hastening delaying or averting sudden death of quantum entanglement. Eur. Phys. Lett. 82, 40002 (2008) · doi:10.1209/0295-5075/82/40002 |
| [28] | Bellomo, B., Franco, R.L., Maniscalco, S., Compagno, G.: Entanglement trapping in structural environments. Phys. Rev. A 78, 060302(R) (2008) · doi:10.1103/PhysRevA.78.060302 |
| [29] | Ali, M., Alber, G., Rau, A.R.P.: Manipulating entanglement sudden death of two-qubit X-states in zero and finite-temperature reservoirs. J. Phys. B 42, 025501 (2009) · doi:10.1088/0953-4075/42/2/025501 |
| [30] | Bellomo, B., Franco, R.L., Compagno, G.: Long-time preservation of nonlocal entanglement. Adv. Sci. Lett. 2, 459 (2009) · doi:10.1166/asl.2009.1054 |
| [31] | Siomau, M., Kamli, A.A.: Defeating entanglement sudden death by a single local filtering. Phys. Rev. A 86, 032304 (2012) · doi:10.1103/PhysRevA.86.032304 |
| [32] | Yashodamma, K.O., Geetha, P.J., Sudha.: Purification and retrieval of entanglement via single local filtering. Int. J. Quantum Inf. 12, 1450004 (2014) · Zbl 1288.81016 |
| [33] | D’Arrigo, A. et al.: Recovering Entanglement by Local Pperations. arXiv:1207.3294 [quantph] |
| [34] | Peres, A.: Separability criterion for density matrices. Phys. Rev. Lett. 77, 1413 (1996) · Zbl 0947.81003 · doi:10.1103/PhysRevLett.77.1413 |
| [35] | Horodecki, M., Horodecki, P., Horodecki, R.: Separability of mixed states: necessary and sufficient conditions. Phys. Lett. A 223, 1 (1996) · Zbl 1037.81501 · doi:10.1016/S0375-9601(96)00706-2 |
| [36] | Vidal, G., Werner, R.F.: Computable measure of entanglement. Phys. Rev. A 65, 032314 (2007) · doi:10.1103/PhysRevA.65.032314 |
| [37] | Salimi, S., Soltanzadeh, M.M.: Investigation of quantum roulette. Int. J. Quantum Inf. 7, 615 (2009) · Zbl 1172.81008 · doi:10.1142/S0219749909004992 |
| [38] | Ann, K., Jaeger, G.: Finite-time destruction of entanglement and non-locality by environmental influences. Found. Phys. 39, 790 (2009) · Zbl 1175.81045 |
| [39] | Ramzan, M., Khan, M.K.: Decoherence and entanglement degradation of a qubit-qutrit system in non-inertial frames. Quantum Inf. Process 11, 443-454 (2012) · Zbl 1239.81026 · doi:10.1007/s11128-011-0257-7 |
| [40] | Horodecki, M., Horodecki, P.: Reduction criterion of separability and limits for a class of distillation protocols. Phys. Rev. A 59, 4206 (1999) · Zbl 0984.81007 · doi:10.1103/PhysRevA.59.4206 |
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