Abstract
In this work, the protection of different quantum entanglement and correlation is explored by local filtering operations. The results show that the filtering operations can indeed be useful for combating amplitude-damping decoherence and recovering the quantum entanglement and correlation. In this scheme, although the final states satisfy the quantum entanglement and correlation, the corresponding initial noisy states does not satisfy them, which means that the filtering operations can reveal the hidden genuine quantum entanglement and correlation of these initial noisy states.





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Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)
Fuchs, C.A., Gisin, N.R., Griffiths, B., Niu, C.S., Peres, A.: Phys. Rev. A 56, 1163 (1997)
Vidal, G.: Phys. Rev. Lett. 91, 147902 (2003)
Datta, A., Shaji, A., Caves, C.M.: Phys. Rev. Lett. 100, 050502 (2008)
Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Phys. Rev. Lett. 101, 200501 (2008)
Ollivier, H., Zurek, W.H.: Phys. Rev. Lett. 88, 017901 (2001)
Henderson, L., Vedral, V.: J. Phys. A 34, 6899 (2001)
Zurek, W.H.: Phys. Rev. A 67, 012320 (2003)
Dillenschneider, R., Lutz, E.: Europhys. Lett. 88, 50003 (2009)
Sarandy, M.S.: Phys. Rev. A 80, 022108 (2009)
Wang, J.C., Deng, J.F., Jing, J.L.: Classical correlation and quantum discord sharing of Dirac fields in noninertial frames. Phys. Rev. A. 81, 052120 (2010)
Barenco, A.: Quantum physics and computers. Contemp. Phys. 37, 375 (1996)
Ekert, A.K.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661 (1991)
Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein–Podolsky–Rosen states. Phys. Rev. Lett. 69, 2881 (1992)
Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54, 3824 (1996)
Aolita, L., Chaves, R., Cavalcanti, D., Acin, A., Davidovich, L.: Scaling laws for the decay of multiqubit entanglement. Phys. Rev. Lett. 100, 080501 (2008)
Borras, A., Majtey, A.P., Plastino, A.R., Casas, M., Plastino, A.: Robustness of highly entangled multiqubit states under decoherence. Phys. Rev. A 79, 022108 (2009)
Aolita, L., Cavalcanti, D., Acin, A., Salles, A., Tiersch, M., Buchleitner, A., DeMelo, F.: Scalability of Greenberger-Horne-Zeilinger and random-state entanglement in the presence of decoherence. Phys. Rev. A 79, 032322 (2009)
Ma, W.C., Xu, S., He, J., Shi, J., Ye, L.: Probing the entanglement distillability responses to the Unruh effect and prepared states. Quantum Inf. Process 14, 1411–1428 (2015)
Yu, T., Eberly, J.H.: Quantum open system theory: bipartite aspects. Phys. Rev. Lett. 97, 140403 (2006)
Kwiat, P.G., Barraza-Lopez, S., Stefanov, A., Gisin, N.: Experimental entanglement distillation and ‘hidden’ non-locality. Nature (London) 409, 1014 (2001)
Murao, M., Plenio, M.B., Popescu, S., Vedral, V., Knight, P.L.: Multiparticle entanglement purification protocols. Phys. Rev. A 57, R4075 (1998)
Miyake, A., Briegel, H.J.: Distillation of multipartite entanglement by complementary stabilizer measurements. Phys. Rev. Lett. 95, 220501 (2005)
Siomau, M., Kamli, A.: Defeating entanglement sudden death by a single local filtering. Phys. Rev. A 86, 032304 (2012)
Dür, W., Aschauer, H., Briegel, H.J.: Multiparticle entanglement purification for graph states. Phys. Rev. Lett. 91, 107903 (2003)
Kruszynska, C., Miyake, A., Briegel, H.J., Dür, W.: Entanglement purification protocols for all graph states. Phys. Rev. A 74, 052316 (2006)
Aschauer, H., Dür, W., Briegel, H.J.: Multiparticle entanglement purification for two-colorable graph states. Phys. Rev. A 71, 012319 (2005)
Huber, M., Plesch, M.: Purification of genuine multipartite entanglement. Phys. Rev. A 83, 062321 (2011)
Sun, Q., Al-Amri, M., Davidovich, L., Zubairy, M.S.: Reversing entanglement change by a weak measurement. Phys. Rev. A 82, 052323 (2010)
Korotkov, A.N., Jordan, A.N.: Undoing a weak quantum measurement of a solid-state qubit. Phys. Rev. Lett. 97, 166805 (2006)
Xu, S., He, J., Song, X., Shi, J., Ye, L.: Optimized decoherence suppression of two qubits in independent non-Markovian environments using weak measurement and quantum measurement reversal. Quantum Inf. Process. 14, 755–764 (2015)
Sun, Q., Al-Amri, M., Zubairy, M.S.: Reversing the weak measurement of an arbitrary field with finite photon number. Phys. Rev. A 80, 033838 (2009)
David, L., Eduardo, M.M., Achim, K.: Perfect Zeno-like effect through imperfect measurements at a finite frequency. Phys. Rev. A 91, 022106 (2015)
Moiseev, S.A., Skrebnev, V.A.: Short-cycle pulse sequence for dynamical decoupling of local fields and dipole–dipole interactions. Phys. Rev. A 91, 022329 (2015)
Al-Amri, M., Scully, M.O., Zubairy, M.S.: Reversing the weak measurement on a qubit. J. Phys. B At. Mol. Opt. Phys. 44, 165509 (2011)
Karmakar, S., Sen, A., Bhar, A., Sarkar, D.: Effect of local filtering on freezing phenomena of quantum correlation. Quantum Inf. Process. 14, 2517–2533 (2015)
Yu, Y., Ye, L.: Protecting entanglement from amplitude damping in non-inertial frames by weak measurement and reversal. Quantum Inf. Process. 14, 321–335 (2015)
Gisin, N.: Hidden quantum nonlocality revealed by local filters. Phys. Lett. A 210, 151 (1996)
Wootters, W.K.: Phys. Rev. Lett. 80, 2245 (1998)
Horodecki, R., Horodecki, P., Horodecki, M.: Phys. Lett. A 200, 340 (1995)
Horodecki, R.: Phys. Lett. A 210, 223 (1996)
Ghosh, S., Kar, G., De, A.S., Sen, U.: Phys. Rev. A 64, 044301 (2001)
Jakob, M., Abranyos, Y., Bergou, J.A.: Phys. Rev. A 66, 022113 (2002)
Jakóbczyk, L., Jamróz, A.: Phys. Lett. A 318, 318 (2003)
Ma, W.C., Xu, S., Shi, J., Ye, L.: Quantum correlation versus Bell-inequality violation under the amplitude damping channel. Phys. Lett. A 379, 2802–2807 (2015)
Ingarden, R.S., Kossakowski, A., Ohya, M.: Information Dynamics and Open System-Classical and Quantum Approach. Kluwer Academic, Dordrecht (1997)
Cerf, N.J., Adami, C.: Negative entropy and information in quantum mechanics. Phys. Rev. Lett. 79, 5194 (1997)
Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)
Acknowledgments
This work was supported by the National Science Foundation of China under Grant Nos. 61275119 and 11575001, and also by the Natural Science Research Project of Education Department of Anhui Province of China under Grant No. KJ2013A205.
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Huang, C., Ma, W. & Ye, L. Protecting quantum entanglement and correlation by local filtering operations. Quantum Inf Process 15, 3243–3256 (2016). https://doi.org/10.1007/s11128-016-1328-6
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DOI: https://doi.org/10.1007/s11128-016-1328-6