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The distillable entanglement of a bipartite quantum state does not exceed its entanglement cost.
1905
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1907
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G. Gour and C. M. Scandolo, “The entanglement of a bipartite channel,” Jul. 2019, arXiv:1907.02552
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C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, “Mixed-state entanglement and quantum error correction,” Physical Review A , vol. 54, no. 5, pp. 3824–3851, November 1996, arXiv:quant-ph/9604024
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C. H. Bennett, D. P. DiVincenzo, C. A. Fuchs, T. Mor, E. Rains, P. W. Shor, J. A. Smolin, and W. K. Wootters, “Quantum nonlocality without entanglement,” Physical Review A , vol. 59, no. 2, pp. 1070–1091, February 1999
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E. M. Rains, “Bound on distillable entanglement,” Physical Review A , vol. 60, pp. 179–184, July 1999
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P. M. Hayden, M. Horodecki, and B. M. Terhal, “The asymptotic entanglement cost of preparing a quantum state,” Journal of Physics A: Mathematical and General , vol. 34, no. 35, p. 6891, Sep. 2001, arXiv:quant-ph/0008134
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G. Vidal and J. I. Cirac, “Irreversibility in asymptotic manipulations of a distillable entangled state,” Physical Review A , vol. 65, no. 1, p. 012323, Dec. 2001
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——, “A semidefinite program for distillable entanglement,” IEEE Transactions on Information Theory , vol. 47, no. 7, pp. 2921–2933, November 2001, arXiv:quant-ph/0008047
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A. E. Rastegin, “Relative error of state-dependent cloning,” Physical Review A , vol. 66, no. 4, p. 042304, October 2002
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K. Audenaert, B. De Moor, K. G. H. Vollbrecht, and R. F. Werner, “Asymptotic relative entropy of entanglement for orthogonally invariant states,” Physical Review A , vol. 66, no. 3, p. 032310, September 2002, arXiv:quant-ph/0204143
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C. H. Bennett, A. W. Harrow, D. W. Leung, and J. A. Smolin, “On the capacities of bipartite Hamiltonians and unitary gates,” IEEE Transactions on Information Theory , vol. 49, no. 8, pp. 1895–1911, August 2003, arXiv:quant-ph/0205057
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2011
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2012
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——, “A lower bound on the relative error of mixed-state cloning and related operations,” Journal of Optics B: Quantum and Semiclassical Optics , vol. 5, no. 6, p. S647, December 2003, arXiv:quant-ph/0208159
2003
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A. Gilchrist, N. K. Langford, and M. A. Nielsen, “Distance measures to compare real and ideal quantum processes,” Physical Review A , vol. 71, no. 6, p. 062310, June 2005, arXiv:quant-ph/0408063
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A. E. Rastegin, “Sine distance for quantum states,” February 2006, arXiv:quant-ph/0602112
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M. B. Plenio and S. Virmani, “An introduction to entanglement measures,” Quantum Information & Compution , vol. 7, no. 1, pp. 1–51, January 2007, arXiv:quant-ph/0504163
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2008
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R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, “Quantum entanglement,” Reviews of Modern Physics , vol. 81, no. 2, pp. 865–942, June 2009, arXiv:quant-ph/0702225
2009
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2010
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2010
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2014
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2016
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2017
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2017
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X. Wang, “Semidefinite optimization for quantum information,” Ph.D. dissertation, University of Technology Sydney, Centre for Quantum Software and Information, Faculty of Engineering and Information Technology, July 2018, http://hdl.handle.net/10453/127996
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J. Watrous, The Theory of Quantum Information . Cambridge University Press, 2018
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2019
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2019
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