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Published in: Quantum Information Processing 5/2014

01-05-2014

Correlation dynamics of a two-qubit system in a Bell-diagonal state under non-identical local noises

Authors: Bao-Cang Ren, Hai-Rui Wei, Fu-Guo Deng

Published in: Quantum Information Processing | Issue 5/2014

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Abstract

The property of quantum correlation has been studied in recent years, especially for the quantum and classical correlations affected by environment. The dynamics of quantum and classical correlations in two-qubit system under identical local noise channels have been investigated recently. Here, we will consider the dynamics of quantum and classical correlations when the local noise channels of two sides are not identical. We investigate the dynamics of quantum and classical correlations with three types of local noise channels in both Markovian and non-Markovian conditions and show the decay rules of quantum and classical correlations with different types and parameter times of local noise channels.

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Literature
1.
go back to reference Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH
2.
go back to reference Knill, E., Laflamme, R.: Power of one bit of quantum information. Phys. Rev. Lett. 81, 5672 (1998)CrossRefADS Knill, E., Laflamme, R.: Power of one bit of quantum information. Phys. Rev. Lett. 81, 5672 (1998)CrossRefADS
3.
go back to reference Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Experimental quantum computing without entanglement. Phys. Rev. Lett. 101, 200501 (2008)CrossRefADS Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Experimental quantum computing without entanglement. Phys. Rev. Lett. 101, 200501 (2008)CrossRefADS
4.
go back to reference Datta, A., Shaji, A., Caves, C.M.: Quantum discord and the power of one qubit. Phys. Rev. Lett. 100, 050502 (2008)CrossRefADS Datta, A., Shaji, A., Caves, C.M.: Quantum discord and the power of one qubit. Phys. Rev. Lett. 100, 050502 (2008)CrossRefADS
5.
go back to reference Sarandy, M.S.: Classical correlation and quantum discord in critical systems. Phys. Rev. A 80, 022108 (2009)CrossRefADS Sarandy, M.S.: Classical correlation and quantum discord in critical systems. Phys. Rev. A 80, 022108 (2009)CrossRefADS
7.
go back to reference Meyer, D.A.: Sophisticated quantum search without entanglement. Phys. Rev. Lett. 85, 2014 (2000)CrossRefADS Meyer, D.A.: Sophisticated quantum search without entanglement. Phys. Rev. Lett. 85, 2014 (2000)CrossRefADS
8.
go back to reference Groisman, B., Popescu, S., Winter, A.: Quantum, classical, and total amount of correlations in a quantum state. Phys. Rev. A 72, 032317 (2005)MathSciNetCrossRefADS Groisman, B., Popescu, S., Winter, A.: Quantum, classical, and total amount of correlations in a quantum state. Phys. Rev. A 72, 032317 (2005)MathSciNetCrossRefADS
10.
go back to reference Yang, D., Horodecki, M., Wang, Z.D.: An additive and operational entanglement measure: conditional entanglement of mutual information. Phys. Rev. Lett. 101, 140501 (2008)CrossRefADS Yang, D., Horodecki, M., Wang, Z.D.: An additive and operational entanglement measure: conditional entanglement of mutual information. Phys. Rev. Lett. 101, 140501 (2008)CrossRefADS
11.
go back to reference Modi, K., Paterek, T., Son, W., Vedral, V., Williamson, M.: Unified view of quantum and classical correlations. Phys. Rev. Lett. 104, 080501 (2010)MathSciNetCrossRefADS Modi, K., Paterek, T., Son, W., Vedral, V., Williamson, M.: Unified view of quantum and classical correlations. Phys. Rev. Lett. 104, 080501 (2010)MathSciNetCrossRefADS
12.
go back to reference Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)CrossRefADS Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)CrossRefADS
13.
go back to reference Oppenheim, J., Horodecki, M., Horodecki, P., Horodecki, R.: Thermodynamical approach to quantifying quantum correlations. Phys. Rev. Lett. 89, 180402 (2002)CrossRefADS Oppenheim, J., Horodecki, M., Horodecki, P., Horodecki, R.: Thermodynamical approach to quantifying quantum correlations. Phys. Rev. Lett. 89, 180402 (2002)CrossRefADS
14.
go back to reference Piani, M., Horodecki, P., Horodecki, R.: No-local-broadcasting theorem for multipartite quantum correlations. Phys. Rev. Lett. 100, 090502 (2008)CrossRefADS Piani, M., Horodecki, P., Horodecki, R.: No-local-broadcasting theorem for multipartite quantum correlations. Phys. Rev. Lett. 100, 090502 (2008)CrossRefADS
15.
go back to reference Kaszlikowski, D., Sen(De), A., Sen, U., Vedral, V., Winter, A.: Quantum correlation without classical correlations. Phys. Rev. Lett. 101, 070502 (2008)CrossRefADS Kaszlikowski, D., Sen(De), A., Sen, U., Vedral, V., Winter, A.: Quantum correlation without classical correlations. Phys. Rev. Lett. 101, 070502 (2008)CrossRefADS
16.
go back to reference Piani, M., Christandl, M., Mora, C.E., Horodecki, P.: Broadcast copies reveal the quantumness of correlations. Phys. Rev. Lett. 102, 250503 (2009)CrossRefADS Piani, M., Christandl, M., Mora, C.E., Horodecki, P.: Broadcast copies reveal the quantumness of correlations. Phys. Rev. Lett. 102, 250503 (2009)CrossRefADS
17.
go back to reference Dakić, B., Vedral, V., Brukner, Č.: Necessary and sufficient condition for nonzero quantum discord. Phys. Rev. Lett. 105, 190502 (2010)CrossRefADS Dakić, B., Vedral, V., Brukner, Č.: Necessary and sufficient condition for nonzero quantum discord. Phys. Rev. Lett. 105, 190502 (2010)CrossRefADS
19.
go back to reference Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: Non-Markovian dynamics of quantum discord. Phys. Rev. A 81, 052107 (2010)CrossRefADS Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: Non-Markovian dynamics of quantum discord. Phys. Rev. A 81, 052107 (2010)CrossRefADS
20.
go back to reference Ali, M., Rau, A.R.P., Alber, G.: Quantum discord for two-qubit X states. Phys. Rev. A 81, 042105 (2010)CrossRefADS Ali, M., Rau, A.R.P., Alber, G.: Quantum discord for two-qubit X states. Phys. Rev. A 81, 042105 (2010)CrossRefADS
21.
22.
go back to reference Paz, J.P., Roncaglia, A.J.: Dynamics of the entanglement between two oscillators in the same environment. Phys. Rev. Lett. 100, 220401 (2008)CrossRefADS Paz, J.P., Roncaglia, A.J.: Dynamics of the entanglement between two oscillators in the same environment. Phys. Rev. Lett. 100, 220401 (2008)CrossRefADS
23.
go back to reference Mazzola, L., Maniscalco, S., Piilo, J., Suominen, K.A., Garraway, B.M.: Sudden death and sudden birth of entanglement in common structured reservoirs. Phys. Rev. A 79, 042302 (2009)CrossRefADS Mazzola, L., Maniscalco, S., Piilo, J., Suominen, K.A., Garraway, B.M.: Sudden death and sudden birth of entanglement in common structured reservoirs. Phys. Rev. A 79, 042302 (2009)CrossRefADS
24.
go back to reference An, N.B., Kim, J., Kim, K.: Nonperturbative analysis of entanglement dynamics and control for three qubits in a common lossy cavity. Phys. Rev. A 82, 032316 (2010)CrossRefADS An, N.B., Kim, J., Kim, K.: Nonperturbative analysis of entanglement dynamics and control for three qubits in a common lossy cavity. Phys. Rev. A 82, 032316 (2010)CrossRefADS
25.
go back to reference Bellomo, B., Franco, R.L., Compagno, G.: Non-Markovian effects on the dynamics of entanglement. Phys. Rev. Lett. 99, 160502 (2007)CrossRefADS Bellomo, B., Franco, R.L., Compagno, G.: Non-Markovian effects on the dynamics of entanglement. Phys. Rev. Lett. 99, 160502 (2007)CrossRefADS
26.
go back to reference Li, J.G., Zou, J., Shao, B.: Entanglement evolution of two qubits under noisy environments. Phys. Rev. A 82, 042318 (2010)CrossRefADS Li, J.G., Zou, J., Shao, B.: Entanglement evolution of two qubits under noisy environments. Phys. Rev. A 82, 042318 (2010)CrossRefADS
27.
go back to reference Maziero, J., Céleri, L.C., Serra, R.M., Vedral, V.: Classical and quantum correlations under decoherence. Phys. Rev. A 80, 044102 (2009)MathSciNetCrossRefADS Maziero, J., Céleri, L.C., Serra, R.M., Vedral, V.: Classical and quantum correlations under decoherence. Phys. Rev. A 80, 044102 (2009)MathSciNetCrossRefADS
28.
go back to reference Maziero, J., Werlang, T., Fanchini, F.F., Céleri, L.C., Serra, R.M.: System-reservoir dynamics of quantum and classical correlations. Phys. Rev. A 81, 022116 (2010)CrossRefADS Maziero, J., Werlang, T., Fanchini, F.F., Céleri, L.C., Serra, R.M.: System-reservoir dynamics of quantum and classical correlations. Phys. Rev. A 81, 022116 (2010)CrossRefADS
29.
go back to reference Werlang, T., Souza, S., Fanchini, F.F., Boas, C.J.V.: Robustness of quantum discord to sudden death. Phys. Rev. A 80, 024103 (2009)CrossRefADS Werlang, T., Souza, S., Fanchini, F.F., Boas, C.J.V.: Robustness of quantum discord to sudden death. Phys. Rev. A 80, 024103 (2009)CrossRefADS
30.
go back to reference Wang, B., Xu, Z.Y., Chen, Z.Q., Feng, M.: Non-Markovian effect on the quantum discord. Phys. Rev. A 81, 014101 (2010)CrossRefADS Wang, B., Xu, Z.Y., Chen, Z.Q., Feng, M.: Non-Markovian effect on the quantum discord. Phys. Rev. A 81, 014101 (2010)CrossRefADS
31.
go back to reference Mazzola, L., Piilo, J., Maniscalco, S.: Sudden transition between classical and quantum decoherence. Phys. Rev. Lett. 104, 200401 (2010)MathSciNetCrossRefADS Mazzola, L., Piilo, J., Maniscalco, S.: Sudden transition between classical and quantum decoherence. Phys. Rev. Lett. 104, 200401 (2010)MathSciNetCrossRefADS
32.
go back to reference Lang, M.D., Caves, C.M.: Quantum discord and the geometry of Bell-diagonal states. Phys. Rev. Lett. 105, 150501 (2010)CrossRefADS Lang, M.D., Caves, C.M.: Quantum discord and the geometry of Bell-diagonal states. Phys. Rev. Lett. 105, 150501 (2010)CrossRefADS
33.
go back to reference Daffer, S., Wódkiewicz, K., Cresse, J.D., Mclver, J.K.: Depolarizing channel as a completely positive map with memory. Phys. Rev. A 70, 010304(R) (2004)CrossRefADS Daffer, S., Wódkiewicz, K., Cresse, J.D., Mclver, J.K.: Depolarizing channel as a completely positive map with memory. Phys. Rev. A 70, 010304(R) (2004)CrossRefADS
34.
Metadata
Title
Correlation dynamics of a two-qubit system in a Bell-diagonal state under non-identical local noises
Authors
Bao-Cang Ren
Hai-Rui Wei
Fu-Guo Deng
Publication date
01-05-2014
Publisher
Springer US
Published in
Quantum Information Processing / Issue 5/2014
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-013-0720-8

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