Tsallis Entropies of Superposition States οf Two Photon-Subtracted SU(1,1) Coherent States and Entanglement Transfer to Qubits

• Authors: Mai-Lin Liang , Bing Yuan , Jia-Nan Zhang
• Languages of publication: EN

Abstracts

EN

Entropy properties of the superposed photon-subtracted two-mode coherent states are quite different from that of the single state. Tsallis entropies of the superposed states have extreme values, while that of the single state change monotonously. Further, it is found that the positions of the maxima of the entropies are independent of the entropic index. Around the maxima of the entropies, the entanglement transfer from the superposed states to two initially separable qubits is nearly complete.

Keywords

EN

42.50.Dv; 03.65.Ud; 05.70.-a

Discipline

• 03.65.Ud: Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)(for entanglement production and manipulation, see 03.67.Bg; for entanglement measures, witnesses etc., see 03.67.Mn; for entanglement in Bose-Einstein condensates, see 03.75.Gg)
• 05.70.-a: Thermodynamics(see also section 64 Equations of state, phase equilibria, and phase transitions, and section 65 Thermal properties of condensed matter; for chemical thermodynamics, see 82.60.-s; for thermodynamics of plasmas, see 52.25.Kn; for thermodynamic properties of quantum fluids, see 67.25.bd, and 67.30.ef; for thermodynamics of nanoparticles, see 82.60.Qr, and 65.80.-g; for thermodynamic processes in astrophysics, see 95.30.Tg; for thermodynamics in volcanology, see 91.40.Pc)
• 42.50.Dv: Quantum state engineering and measurements(see also 03.65.Ud Entanglement and quantum nonlocality, e.g., EPR paradox, Bells inequalities, GHZ states, etc.)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 6
• Pages: 1006-1010

Dates

published

2009-12

received

2008-09-18

(unknown)

2009-11-02

Contributors

author

Mai-Lin Liang

• Physics Department, School of Science, Tianjin University, Tianjin 300072, China

author

Bing Yuan

• Physics Department, School of Science, Tianjin University, Tianjin 300072, China

author

Jia-Nan Zhang

• Physics Department, School of Science, Tianjin University, Tianjin 300072, China

References

• 1. C.C. Gerry, J. Opt. Soc. Am. B 8, 685 (1991)
• 2. C.C. Gerry, R.E. Welch, J. Opt. Soc. Am. B 9, 290 (1992)
• 3. L. Gilles, P.L. Knight, J. Mod. Opt. 39, 1411 (1992)
• 4. C.C. Gerry, R. Grobe, J. Mod. Opt. 44, 41 (1997)
• 5. A.S. Agarwal, A. Biswas, J. Opt. B 7, 350 (2005)
• 6. W. Son, M.S. Kim, J. Lee, D. Ahn, J. Mod. Opt. 49, 1739 (2002)
• 7. M. Paternostro, W. Son, M.S. Kim, G. Falci, G.M. Palma, Phys. Rev. A 70, 022320 (2004)
• 8. J. Zou, J.G. Li, B. Shao, J. Li, Q. Shuli, Phys. Rev. A 73, 042319 (2006)
• 9. J. Hald, J.L. Sorensen, C. Schori, E.S. Polzik, J. Mod. Opt. 47, 2599 (2000)
• 10. M. Paternostro, W. Son, M.S. Kim, Phys. Rev. Lett. 92, 197901 (204)
• 11. M. Paternostro, G. Falci, M.S. Kim, G.M. Palma, Phys. Rev. B 69, 214502 (2004)
• 12. X.F. Qian, Y. Li, Y. Li, Z. Song, C.P. Sun, Phys. Rev. A 72, 062329 (2005)
• 13. G.S. Agarwal, K. Tara, Phys. Rev. A 43, 492 (1991)
• 14. D.A. Meyer, N.R. Wallach, J. Math. Phys. 43, 4273 (2002)
• 15. M.B. Plenio, V. Vedral, Contemp. Phys. 39, 431 (1989)
• 16. S.M. Barnett, S.J.D. Phoenix, Phys. Rev. A 40, 2204 (1989); S.M. Barnett, P.L. Knight, J. Opt. Soc. Am. B 2, 467 (1985)
• 17. C. Tsallis, J. Stat. Phys. 52, 479 (1988)
• 18. A.R. Plastino, A. Plastino, Phys. Lett. A 177, 177 (1993)
• 19. C. Tsallis, S.V.F. Levy, A.M.C. Souza, R. Maynard, Phys. Rev. Lett. 75, 3589 (1995)
• 20. N.G. de Almeida, Physica A 387, 2745 (2008)
• 21. C. Beck, Phys. Rev. Lett. 87, 180601 (2001)
• 22. C. Tsallis, J.C. Anjos, E.P. Borges, Phys. Lett. A 310, 372 (2003)
• 23. C. Tsallis, D. Prato, A.R. Plastino, Astrophys. Space Sci. 290, 259 (2004)
• 24. S. Abe, A.K. Rajagopal, Phys. Rev. A 60, 3461 (1999)
• 25. S. Abe, A.K. Rajagopal, Physica A 283, 157 (2001)
• 26. N. Canosa, R. Rossignoli, Phys. Rev. Lett. 88, 170401 (2002)
• 27. J. Batle, A.R. Plastino, M. Casas, A. Plastino, J. Phys. A 35, 10311 (2002)
• 28. S. Abe, Physica A 306, 316 (2002)
• 29. R. Prabhu, A.R.U. Devi, G. Padmanabha, Phys. Rev. A 76, 042337 (2007)
• 30. G. Wilk, Z. Wlodarczyk, Physica A 376, 279 (2007)
• 31. S. Hill, W.K. Wootters, Phys. Rev. Lett. 78, 5022 (1997)
• 32. W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)
• 33. A. Peres, Phys. Rev. Lett. 77, 1413 (1996)
• 34. M. Horodecki, P. Horodecki, R. Horodecki, Phys. Lett. A 223, 1 (1996)

Identifiers

DOI

10.12693/APhysPolA.116.1006