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Quantum Information Processing
Published in: Quantum Information Processing 11/2017

01-11-2017

Tripartite and bipartite quantum correlations in the XXZ spin chain with three-site interaction

Authors: Jing Yang, Yanxia Huang

Published in: Quantum Information Processing | Issue 11/2017

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Abstract

Tripartite and bipartite quantum correlations in the three-qubit XXZ Heisenberg spin chain with two types of three-site interactions and an external magnetic field are investigated. We show that the increase in XZY − YZX interaction can enhance the robustness of both tripartite and bipartite correlations, whereas the increase in XZX \(+\) YZY interaction could improve the robustness of tripartite quantum correlations, but diminish the robustness of bipartite quantum correlations. Tripartite measurement-induced disturbance is the most robust against temperature, and bipartite entanglement is the most fragile. Tripartite entanglement is even more robust than bipartite quantum discord when XZX \(+\) YZY or XZY − YZX interaction is relatively large. The cooperative effect of XZX \(+\) YZY and XZY − YZX interaction could induce bipartite entanglement even at high temperature. The cooperative effect of XZX \(+\) YZY and XZY − YZX interaction is the most optimal to improve the robustness of all quantum correlations when the magnetic field is negative. When the magnetic field is positive, the effective of XZY − YZX interaction alone is more ideal to preserve different quantum correlations.
previous article Hilbert–Schmidt quantum coherence in multi-qudit systems
next article Effect of three-spin interaction on thermal entanglement in Heisenberg XXZ model

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Literature
1.
2.
Xi, Y.X., Cheng, W.W., Huang, Y.X.: Entanglement and quantum teleportation in a three-qubit Heisenberg chain with three-site interactions. Quantum Inf. Process. 14, 2551 (2015)ADSCrossRefMATH
3.
4.
Jouguet, P., Kunz-Jacques, S., Leverrier, A., Grangier, P., Diamanti, E.: Experimental demonstration of long-distance continuous-variable quantum key distribution. Nat. Photonics 7, 378 (2013)ADSCrossRef
5.
Li, C.F., Xu, J.S., Xu, X.Y., Li, K., Guo, G.C.: Experimental investigation of the entanglement-assisted entropic uncertainty principle. Nat. Phys. 7, 752 (2011)CrossRef
6.
Liu, Z.H., Chen, H.W., Liu, W.J., Xu, J., Wang, D., Li, Z.Q.: Quantum secure direct communication with optimal quantum superdense coding by using general four-qubit states. Quantum Inf. Process. 12, 587 (2013)ADSCrossRefMATHMathSciNet
7.
Phoenix, S.J.D., Knight, P.L.: Fluctuations and entropy in models of quantum optical resonance. Ann. Phys. (New York) 186, 381 (1988)ADSCrossRefMATH
8.
Vidal, G., Werner, R.F.: Computable measure of entanglement. Phys. Rev. A 65, 032314 (2002)ADSCrossRef
9.
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)ADSCrossRefMATH
10.
Buscemi, F., Bordone, P.: Time evolution of tripartite quantum discord and entanglement under local and nonlocal random telegraph noise. Phys. Rev. A 87, 042310 (2013)ADSCrossRef
11.
Feng, L.J., Zhang, Y.J., Xia, Y.J.: Dynamics and improvement of quantum correlations in the triple Jaynes–Cummings model. Opt. Commun. 366, 328 (2016)ADSCrossRef
12.
Chen, M., Menicucci, N.C., Pfister, O.: Experimental realization of multipartite entanglement of 60 modes of a quantum optical frequency comb. Phys. Rev. Lett. 112, 120505 (2014)ADSCrossRef
13.
Mishra, S.K., Lakshminarayan, A., Subrahmanyam, V.: Protocol using kicked Ising dynamics for generating states with maximal multipartite entanglement. Phys. Rev. A 91, 022318 (2015)ADSCrossRef
14.
Orús, R., Wei, T.C., Buerschaper, O., García-Saez, A.: Topological transitions from multipartite entanglement with tensor networks: a procedure for sharper and faster characterization. Phys. Rev. Lett. 113, 257202 (2014)ADSCrossRef
15.
Bennett, C.H., DiVincenzo, D.P., Mor, T., Shor, P.W., Smolin, J.A., Terhal, B.M.: Unextendible product bases and bound entanglement. Phys. Rev. Lett. 82, 5385 (1999)ADSCrossRefMATHMathSciNet
16.
Virmani, S., Sacchi, M.F., Plenio, M.B., Markham, D.: Optimal local discrimination of two multipartite pure states. Phys. Rev. A 288, 62 (2001)MATHMathSciNet
17.
Horodecki, M., De Sen, A., Sen, U., Horodecki, K.: Local indistinguishability: more nonlocality with less entanglement. Phys. Rev. Lett. 90, 047902 (2003)ADSCrossRef
18.
Knill, E., Laflamme, R.: Power of one bit of quantum information. Phys. Rev. Lett. 81, 5672 (1998)ADSCrossRef
19.
Datta, A., Shaji, A., Caves, C.M.: Quantum discord and the power of one qubit. Phys. Rev. Lett. 100, 050502 (2008)ADSCrossRef
20.
Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Experimental quantum computing without entanglement. Phys. Rev. Lett. 101, 200501 (2008)ADSCrossRef
21.
Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)ADSCrossRefMATH
22.
23.
Man, Z.X., Xia, Y.J., An, N.B.: The transfer dynamics of quantum correlation between systems and reservoirs. J. Phys. B 44, 095504 (2011)ADSCrossRef
24.
Xu, J.S., Xu, X.Y., Li, C.F., Zhang, C.J., Zou, X.B., Guo, G.C.: Experimental investigation of classical and quantum correlations under decoherence. Nat. Commun. 1, 7 (2010)
25.
Auccaise, R., Céleri, L.C., Soares-Pinto, D.O., deAzevedo, E.R., Maziero, J., Souza, A.M., Bonagamaba, T.J., Sarthour, R.S., Oliveira, I.S., Serra, R.M.: Environment-induced sudden transition in quantum discord dynamics. Phys. Rev. Lett. 107, 140403 (2011)ADSCrossRef
26.
Yang, W.L., An, J.H., Zhang, C.J., Feng, M., Oh, C.H.: Preservation of quantum correlation between separated nitrogen-vacancy centers embedded in photonic-crystal cavities. Phys. Rev. A 87, 022312 (2013)ADSCrossRef
27.
Wang, C., Zhang, Y.Y., Chen, Q.H.: Quantum correlations in collective spin systems. Phys. Rev. A 85, 052112 (2012)ADSCrossRef
28.
Rong, X., Wang, Z.X., Jin, F.Z., Geng, J.P., Feng, P.B., Xu, N.Y., Wang, Y., Ju, C.Y., Shi, M.J., Du, J.F.: Quantum discord for investigating quantum correlations without entanglement in solids. Phys. Rev. B 86, 104425 (2012)ADSCrossRef
29.
Giorda, P., Paris, M.G.A.: Gaussian quantum discord. Phys. Rev. Lett. 105, 020503 (2010)ADSCrossRef
30.
Adesso, G., Datta, A.: Quantum versus classical correlations in Gaussian states. Phys. Rev. Lett. 105, 030501 (2010)ADSCrossRef
31.
Bellomo, B., Lo Franco, R., Compagno, G.: Dynamics of geometric and entropic quantifiers of correlations in open quantum systems. Phys. Rev. A 86, 012312 (2012)ADSCrossRef
32.
Modi, K., Paterek, T., Son, W., Vedral, V., Williamson, M.: Unified view of quantum and classical correlations. Phys. Rev. Lett. 104, 080501 (2010)ADSCrossRefMathSciNet
33.
Giorgi, G.L., Bellomo, B., Galve, F., Zambrimi, R.: Genuine quantum and classical correlations in multipartite systems. Phys. Rev. Lett. 107, 190501 (2011)ADSCrossRef
34.
Luo, S.L.: Using measurement-induced disturbance to characterize correlations as classical or quantum. Phys. Rev. A 77, 022301 (2008)ADSCrossRef
35.
Man, Z.X., Zhang, Y.J., Su, F., Xia, Y.J.: Entanglement dynamics of multiqubit system in Markovian and non-Markovian reservoirs. Eur. Phys. J. D 58, 147 (2010)ADSCrossRef
36.
Guo, J.L., Mi, Y.J.: Dynamics of multipartite quantum correlations in the qubit-reservoir system. Eur. Phys. J. D 68, 39 (2014)ADSCrossRef
37.
An, N.B., Kim, J., Kim, K.: Entanglement dynamics of three interacting two-level atoms within a common structured environment. Phys. Rev. A 84, 022329 (2011)ADSCrossRef
38.
Roger, M., Hetherington, J.H., Delrieu, J.M.: Magnetism in solid He-3. Rev. Mod. Phys. 55, 1 (1983)ADSCrossRef
39.
Schmidt, H.J., Kuramoto, Y.: Four-spin interaction as an effective interaction in high-Tc copper oxides. Physica C 167, 263 (1990)ADSCrossRef
40.
Capogrosso-Sansone, B., Wessel, S., Bchler, H.P., Zoller, P., Pupillo, G.: Phase diagram of one-dimensional hard-core bosons with three-body interactions. Phys. Rev. B 79, 020503 (2009)ADSCrossRef
41.
Pachos, J.K., Plenio, M.B.: Three-spin interactions in optical lattices and criticality in cluster Hamiltonians. Phys. Rev. Lett. 93, 056402 (2004)ADSCrossRef
42.
Tseng, C.H., Somaroo, S., Sharf, Y., Knill, E., Laflamme, R., Havel, T.F., Cory, D.G.: Quantum simulation of a three-body-interaction Hamiltonian on an NMR quantum computer. Phys. Rev. A 61, 012302 (1999)ADSCrossRef
43.
Bermudez, A., Porras, D., Martin-Delgado, M.A.: Competing many-body interactions in systems of trapped ions. Phys. Rev. A 79, 060303 (2009)ADSCrossRef
44.
Tame, M.S., Paternostro, M., Kim, M.S., Vedral, V.: Natural three-qubit interactions in one-way quantum computing. Phys. Rev. A 73, 022309 (2006)ADSCrossRef
45.
Werlang, T., Trippe, C., Ribeiro, G.A.P., Rigolin, G.: Quantum correlations in spin chains at finite temperatures and quantum phase transitions. Phys. Rev. Lett. 05, 095702 (2010)ADSCrossRef
46.
Sarandy, M.S.: Classical correlation and quantum discord in critical systems. Phys. Rev. A 80, 022108 (2009)ADSCrossRef
47.
Yang, J., Cong, M.Y., Huang, Y.X.: Quantum discord and quantum phase transition in the XXZ spin chain with three-site interaction. Mod. Phys. Lett. B 30, 1650393 (2016)ADSCrossRef
48.
Cheng, W.W., Shan, C.J., Huang, Y.X., Liu, T.K., Li, H.: Entanglement in the Heisenberg spin chain with multiple interaction. Physica E 43, 235 (2010)ADSCrossRef
49.
Xiang, H., Shi-Qun, Z.: Quantum communication in spin chain with multiple spin exchange interaction. Commun. Theor. Phys. 53, 1083 (2010)ADSCrossRefMATH
50.
Tahvili, M., Mahdavifar, S.: Extended cluster spin-1/2 XXZ chain. Physica A 466, 21 (2017)ADSCrossRef
51.
Xie, Y.X., Liu, J., Sun, Y.H.: Geometric quantum discord in the Heisenberg XX model with three-spin interactions. Int. J. Theor. Phys. 56, 566 (2017)CrossRefMATH
52.
Titvinidze, I., Japaridze, G.I.: Phase diagram of the spin extended model. Eur. Phys. J. B 32, 383 (2003)ADSCrossRef
53.
Derzhko, V., Derzhko, O., Richter, J.: Exact solution of a spin \(-1/2\) XX chain with three-site interactions in a random transverse field: influence of randomness on the quantum phase transition. Phys. Rev. B 83, 174428 (2011)ADSCrossRef
54.
Guo, J.L., Song, H.S.: Entanglement dynamics of three-qubit coupled to an XY spin chain at finite temperature with three-site interaction. Eur. Phys. J. D 61, 791 (2011)ADSCrossRef
55.
Lou, P., Wu, W.C., Chang, M.C.: Quantum phase transition in spin \(-1/2 \) XX Heisenberg chain with three-spin interaction. Phys. Rev. B 70, 064405 (2004)ADSCrossRef
56.
Cheng, W.W., Liu, J.M.: Fidelity susceptibility approach to quantum phase transitions in the XY spin chain with multisite interactions. Phys. Rev. A 82, 012308 (2010)ADSCrossRef
57.
Li, Y.C., Lin, H.Q.: Thermal quantum and classical correlations and entanglement in the XY spin model with three-spin interaction. Phys. Rev. A 83, 052323 (2011)ADSCrossRef
58.
Ali, M., Rau, A.R.P., Alber, G.: Quantum discord for two-qubit \(X\) states. Phys. Rev. A 81, 042105 (2010)ADSCrossRef
59.
60.
Werlang, T., Rigolin, G.: Thermal and magnetic quantum discord in Heisenberg models. Phys. Rev. A 81, 044101 (2010)ADSCrossRef
Metadata
Title
Tripartite and bipartite quantum correlations in the XXZ spin chain with three-site interaction
Authors
Jing Yang
Yanxia Huang
Publication date
01-11-2017
Publisher
Springer US
Published in
Quantum Information Processing / Issue 11/2017
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-017-1730-8

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