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Quantum Information Processing
Published in: Quantum Information Processing 10/2019

01-10-2019

Inevitable degradation and inconsistency of quantum coherence in a curved space-time

Authors: Jiadong Shi, Jiaojiao Chen, Juan He, Tao Wu, Liu Ye

Published in: Quantum Information Processing | Issue 10/2019

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Abstract

Based on dynamic analyses on bipartition system, the frozen conditions and the inconsistency of quantum coherence are investigated when one qubit of initial state located in Garfinkle–Horowitz–Strominger (GHS) dilaton black hole. These conditions are derived that either the initial state is prepared in an incoherent state or only the antiparticles escape from the event horizon. In this sense, the degradation of coherence is unavoidable as the expansion of black hole. Moreover, the evolution trajectories of two coherence measures are explored, which are significantly affected by the initial state structure and the approximation quantization of black hole. We then conclude that this inconsistency is an intrinsic trait of coherence in the curved space-time. Additionally, we observe some relations among the norm coherences between different bipartition systems and, at the same time, obtain the entropy coherences with same expressions.
previous article Entanglement property of the Werner state in accelerated frames
next article Multipartite quantum coherence and monogamy for Dirac fields subject to Hawking radiation

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Appendix
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Literature
1.
Leggett, A.J.: Macroscopic quantum systems and the quantum theory of measurement. Prog. Theor. Phys. Suppl. 69, 80–100 (1980)ADSMathSciNetCrossRef
2.
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH
3.
4.
5.
Modi, K., Brodutch, A., Cable, H., Paterek, T., Vedral, V.: The classical-quantum boundary for correlations: discord and related measures. Rev. Mod. Phys. 84, 1655 (2012)ADSCrossRef
6.
Nakano, T., Piani, M., Adesso, G.: Negativity of quantumness and its interpretations. Phys. Rev. A 88, 012117 (2013)ADSCrossRef
7.
Aaronson, B., Lo Franco, R., Adesso, G.: Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence. Phys. Rev. A 88, 012120 (2013)ADSCrossRef
8.
Cianciaruso, M., Bromley, T.R., Roga, W., Lo Franco, R., Adesso, G.: Universal freezing of quantum correlations within the geometric approach. Sci. Rep. 5, 10177 (2015)ADSCrossRef
9.
Shi, J.D., Wang, D., Ma, W.C., Ye, L.: Enhancing quantum correlation in open-system dynamics by reliable quantum operations. Quantum Inf. Process. 14, 3569–3579 (2015)ADSMathSciNetCrossRef
10.
Hu, M.L., Fan, H.: Evolution equation for geometric quantum correlation measures. Phys. Rev. A 91, 052311 (2015)ADSCrossRef
11.
Hu, M.L., Lian, H.L.: Geometric quantum discord and non-Markovianity of structured reservoirs. Ann. Phys. 362, 795–804 (2015)ADSMathSciNetCrossRef
12.
He, J., Ding, Z.Y., Ye, L.: Enhancing quantum Fisher information by utilizing uncollapsing measurements. Phys. A 457, 598–606 (2016)MathSciNetCrossRef
13.
Song, X.K., Ai, Q., Qiu, J., Deng, F.G.: Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics. Phys. Rev. A 93, 052324 (2016)ADSCrossRef
14.
Huang, A.J., Shi, J.D., Wang, D., Ye, L.: Steering quantum-memory-assisted entropic uncertainty under unital and nonunital noises via filtering operations. Quantum Inf. Process. 16, 46 (2017)ADSMathSciNetCrossRef
15.
Wu, T., Shi, J.D., Yu, L.Z., He, J., Ye, L.: Quantum correlation of qubit-reservoir system in dissipative environments. Sci. Rep. 7, 8625 (2017)ADSCrossRef
16.
Baumgratz, T., Cramer, M., Plenio, M.B.: Quantifying Coherence. Phys. Rev. Lett. 113, 140401 (2014)ADSCrossRef
17.
Streltsov, A., Singh, U., Dhar, H.S., Bera, M.N., Adesso, G.: Measuring quantum coherence with entanglement. Phys. Rev. Lett. 115, 020403 (2015)ADSMathSciNetCrossRef
18.
Shao, L.H., Xi, Z.J., Fan, H., Li, Y.M.: Fidelity and trace-norm distances for quantifying coherence. Phys. Rev. A 91, 042120 (2015)ADSCrossRef
19.
Girolami, D.: Observable measure of quantum coherence in finite dimensional systems. Phys. Rev. Lett. 113, 170401 (2014)ADSCrossRef
20.
Levi, F., Mintert, F.: A quantitative theory of coherent delocalization. New J. Phys. 16, 033007 (2014)ADSCrossRef
21.
Yuan, X., Zhou, H., Cao, Z., Ma, X.: Intrinsic randomness as a measure of quantum coherence. Phys. Rev. A 92, 022124 (2015)ADSCrossRef
22.
Huang, Z.M., Situ, H.Z.: Non-Markovian dynamics of quantum coherence of two-level system driven by classical field. Quantum Inf. Process. 16, 222 (2017)ADSMathSciNetCrossRef
23.
Hu, M.L., Hu, X.Y., Wang, J.C., Peng, Y., Zhang, Y.R., Fan, H.: Quantum coherence and geometric quantum discord. Phys. Rep. 762, 1–100 (2018)ADSMathSciNetMATH
24.
Song, X.K., Huang, Y.Q., Ling, J.J., Yung, M.H.: Quantifying quantum coherence in experimentally observed neutrino oscillations. Phys. Rev. A 98, 050302(R) (2018)ADSCrossRef
25.
Yao, Y., Dong, G.H., Xiao, X., Li, M., Sun, C.P.: Interpreting quantum coherence through a quantum measurement process. Phys. Rev. A 96, 052322 (2017)ADSCrossRef
26.
Yao, Y., Dong, G.H., Ge, L., Li, M., Sun, C.P.: Maximal coherence in a generic basis. Phys. Rev. A 94, 062339 (2016)ADSCrossRef
27.
Bromley, T.R., Cianciaruso, M., Adesso, G.: Frozen quantum coherence. Phys. Rev. Lett. 114, 210401 (2015)ADSCrossRef
28.
Liu, X.B., Tian, Z.H., Wang, J.C., Jing, J.L.: Inhibiting decoherence of two-level atom in thermal bath by presence of boundaries. Ann. Phys. 366, 102–112 (2016)ADSCrossRef
29.
Huang, Z.M., Situ, H.Z., Zhao, L.H.: Payoffs and coherence of a quantum two-player game under noisy environment. Eur. Phys. J. Plus. 132, 152 (2017)CrossRef
30.
Huang, Z.M., Situ, H.Z.: Dynamics of quantum correlation and coherence for two atoms coupled with a bath of fluctuating massless scalar field. Ann. Phys. 377, 484–492 (2017)ADSCrossRef
31.
Wang, J.C., Pan, Q.Y., Jing, J.L.: Entanglement redistribution in the Schwarzschild spacetime. Phys. Lett. B 692, 202 (2010)ADSCrossRef
32.
León, J., Martín-Martínez, E.: Spin and occupation number entanglement of Dirac fields for noninertial observers. Phys. Rev. A 80, 012314 (2009)ADSCrossRef
33.
Huang, Z.M., Situ, H.Z.: Quantum coherence behaviors of fermionic system in non-inertial frame. Quantum Inf. Process. 17, 95 (2018)ADSMathSciNetCrossRef
34.
Shi, J.D., Wu, T., Song, X.K., Ye, L.: Dynamics of entanglement under decoherence in noninertial frames. Chin. Phys. B 23, 020310 (2014)ADSCrossRef
35.
36.
37.
38.
39.
Aspachs, M., Adesso, G., Fuentes, I.: Optimal quantum estimation of the Unruh-Hawking effect. Phys. Rev. Lett. 105, 151301 (2010)ADSCrossRef
40.
Deng, J.F., Wang, J.C., Jing, J.L.: How the Hawking effect and prepared states affect entanglement distillability of Dirac fields. Phys. Lett. B 695, 495–500 (2011)ADSCrossRef
41.
Barnett, S.M., Radmore, P.M.: Methods in Theoretical Quantum Optics, pp. 67–80. Oxford University Press, Oxford (1997)MATH
42.
Pan, Q.Y., Jing, J.L.: Hawking radiation, entanglement, and teleportation in the background of an asymptotically flat static black hole. Phys. Rev. D 78, 065015 (2008)ADSMathSciNetCrossRef
43.
Iizuka, N., Kabat, D.: Mutual information in Hawking radiation. Phys. Rev. D 88, 084010 (2013)ADSCrossRef
44.
Hawking, S.W.: Black hole explosions. Nature 30, 248 (1974)MATH
45.
Du, Y.Q., Tian, Y.: The universal property of the entropy sum of black holes in all dimensions. Phys. Lett. B 739, 250–255 (2014)ADSMathSciNetCrossRef
46.
Farahi, A., Zayas, L.A.P.: Gravitational collapse, chaos in CFT correlators and the information paradox. Phys. Lett. B 734, 31–35 (2014)ADSCrossRef
47.
48.
Dreyer, O.: Quasinormal modes, the area spectrum, and black hole entropy. Phys. Rev. Lett. 90, 081301 (2003)ADSCrossRef
49.
Chen, S.B., Jing, J.L.: Asymptotic quasinormal modes of a coupled scalar field in the Garfinkle-Horowitz-Strominger dilaton spacetime. Class. Quant. Gravity 22, 533 (2005)ADSMathSciNetCrossRef
50.
Wang, J.C., Pan, Q.Y., Jing, J.L.: Projective measurements and generation of entangled Dirac particles in Schwarzschild spacetime. Ann. Phys. 325, 1190 (2010)ADSMathSciNetCrossRef
51.
52.
53.
Gareia, A., Galtsov, D., Kechkin, O.: Class of stationary axisymmetric solutions of the Einstein–Maxwell-dilaton-axion field equations. Phys. Rev. Lett. 74, 1276 (1995)ADSMathSciNetCrossRef
54.
Damoar, T., Ruffini, R.: Black-hole evaporation in the Klein-Sauter-Heisenberg-Euler formalism. Phys. Rev. D 14, 332 (1976)ADSCrossRef
55.
Bruschi, D.E., Louko, J., Martín-Martínez, E., Dragan, A., Fuentes, I.: Unruh effect in quantum information beyond the single-mode approximation. Phys. Rev. A 82, 042332 (2010)ADSCrossRef
56.
Friis, N., Köhler, P., Martín-Martínez, E., Bertlmann, R.A.: Residual entanglement of accelerated fermions is not nonlocal. Phys. Rev. A 84, 062111 (2011)ADSCrossRef
57.
Montero, M., Leon, J., Martín-Martínez, E.: Fermionic entanglement extinction in noninertial frames. Phys. Rev. A 84, 042320 (2011)ADSCrossRef
58.
Chang, J., Kwon, Y.: Entanglement behavior of quantum states of fermionic systems in an accelerated frame. Phys. Rev. A 85, 032302 (2012)ADSCrossRef
59.
Wang, J.C., Pan, Q.Y., Chen, S.B., Jing, J.L.: Quantum entanglement of Dirac field in background of an asymptotically flat static black hole. Quantum Inf. Comput. 10, 947 (2010)MathSciNetMATH
60.
Montero, M., Martín-Martínez, E.: Convergence of fermionic-field entanglement at infinite acceleration in relativistic quantum information. Phys. Rev. A 85, 024301 (2012)ADSCrossRef
61.
Montero, M., Martín-Martínez, E.: Entanglement of arbitrary spin fields in noninertial frames. Phys. Rev. A 84, 012337 (2011)ADSCrossRef
62.
He, J., Xu, S., Song, X., Yu, Y., Ye, L.: Property of various correlation measures of open Dirac system with Hawking effect in Schwarzschild space–time. Phys. Lett. B 740, 322–328 (2015)ADSMathSciNetCrossRef
63.
Xu, S., Song, X.K., Shi, J.D., Ye, L.: How the Hawking effect affects multipartite entanglement of Dirac particles in the background of a Schwarzschild black hole. Phys. Rev. D 89, 065022 (2014)ADSCrossRef
64.
Shi, J.D., Ding, Z.Y., He, J., et al.: Quantum distinguishability and geometric discord in the background of Schwarzschild space–time. Phys. A 510, 649–657 (2018)MathSciNetCrossRef
65.
Huang, Z.M.: Quantum correlation and coherence in the background of dilaton black hole. J. Phys. Soc. Jpn. 86, 124007 (2017)ADSCrossRef
66.
67.
Wang, J.C., Jing, J.L., Fan, H.: Quantum discord and measurement-induced disturbance in the background of dilaton black holes. Phys. Rev. D 90, 025032 (2014)ADSCrossRef
68.
Wang, J.C., Pan, Q.Y., Chen, S.B., Jing, J.L.: Entanglement of coupled massive scalar field in background of dilaton black hole. Phys. Lett. B 677, 186–189 (2009)ADSMathSciNetCrossRef
69.
Wang, J.C., Tian, Z.H., Jing, J.L., Fan, H.: Irreversible degradation of quantum coherence under relativistic motion. Phys. Rev. A 93, 062105 (2016)ADSCrossRef
70.
He, J., Ding, Z.Y., Shi, J.D., Wu, T.: Multipartite Quantum Coherence and Distribution under the Unruh Effect. Ann. Phys. (Berlin, Ger.) 530, 1800167 (2018)ADSCrossRef
71.
Metadata
Title
Inevitable degradation and inconsistency of quantum coherence in a curved space-time
Authors
Jiadong Shi
Jiaojiao Chen
Juan He
Tao Wu
Liu Ye
Publication date
01-10-2019
Publisher
Springer US
Published in
Quantum Information Processing / Issue 10/2019
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2392-5

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