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Wang, Xin; Duan, Runyao (2016)
Languages: English
Types: Preprint

Classified by OpenAIRE into

arxiv: Quantum Physics
A new additive and semidefinite programming (SDP) computable entanglement measure is introduced to upper bound the amount of distillable entanglement in bipartite quantum states by operations completely preserving the positivity of partial transpose (PPT). This quantity is always smaller than or equal to the logarithmic negativity, the previously best known SDP bound on distillable entanglement, and the inequality is strict in general. Furthermore, a succinct SDP characterization of the one-copy PPT deterministic distillable entanglement for any given state is also obtained, which provides a simple but useful lower bound on the PPT distillable entanglement. Remarkably, there is a genuinely mixed state of which both bounds coincide with the distillable entanglement while being strictly less than the logarithmic negativity.
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    • [1] M. B. Plenio and S. Virmani, Quantum Inf. Comput. 7, 1 (2007).
    • [2] R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. 81, 865 (2009).
    • [3] C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).
    • [4] E. M. Rains, Phys. Rev. A 60, 173 (1999).
    • [5] C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992).
    • [6] C. H. Bennett, G. Brassard, C. Cre┬┤peau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. 70, 1895 (1993).
    • [7] N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
    • [8] K. Zyczkowski, P. Horodecki, A. Sanpera, and M. Lewenstein, Phys. Rev. A 58, 883 (1998).
    • [9] G. Vidal and R. F. Werner, Phys. Rev. A 65, 032314 (2002).
    • [10] J. Eisert, Ph.D. thesis, University of Potsdam, 2001.
    • [11] M. B. Plenio, Phys. Rev. Lett. 95, 090503 (2005).
    • [12] E. M. Rains, IEEE Trans. Inf. Theory 47, 2921 (2001).
    • [13] X. Wang and R. Duan, arXiv:1605.00348.
    • [14] V. Vedral and M. B. Plenio, Phys. Rev. A 57, 1619 (1998).
    • [15] E. M. Rains, Phys. Rev. A 60, 179 (1999).
    • [16] M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 84, 4260 (2000).
    • [17] M. Christandl and A. Winter, J. Math. Phys. 45, 829 (2004).
    • [18] Y. Huang, New J. Phys., 16, 33027 (2014).
    • [19] K. G. H. Vollbrecht and R. F. Werner, Phys. Rev. A 64, 062307 (2001).
    • [20] B. M. Terhal and K. G. H. Vollbrecht, Phys. Rev. Lett. 85, 2625 (2000).
    • [21] C. H. Bennett, D. P. DiVincenzo, C. A. Fuchs, T. Mor, E. Rains, P. W. Shor, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 59, 1070 (1999).
    • [22] L. Vandenberghe and S. Boyd, SIAM Rev. 38, 49 (1996).
    • [23] L. G. Khachiyan, USSR Comput. Math. Phys. 20, 53 (1980).
    • [24] M. Grant and S. Boyd, CVX: Matlab software for disciplined convex programming, http://cvxr.com (2014).
    • [25] J. Watrous, Theory of Quantum Information, University of Waterloo, 2001.
    • [26] W. Matthews and A. Winter, Phys. Rev. A 78, 012317 (2008).
    • [27] M. Slater, in Traces and Emergence of Nonlinear Programming, edited by G. Giorgi and H. T. Kjeldsen (Springer Basel, 2014) pp. 293-306.
    • [28] R. Duan, Y. Feng, Z. Ji, and M. Ying, Phys. Rev. A 71, 022305 (2005).
    • [29] T. Eggeling, K. G. H. Vollbrecht, R. F. Werner, and M. M. Wolf, Phys. Rev. Lett. 87, 257902 (2001).
    • [30] X. Wang and R. Duan, arXiv:1606.09421.
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