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J. Math. Phys. 45, 829 (2004); http://dx.doi.org/10.1063/1.1643788 (12 pages)
“Squashed entanglement”: An additive entanglement measure
(Received 24 November 2003; accepted 25 November 2003)
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Add to FacebookIn this paper, we present a new entanglement monotone for bipartite quantum states. Its definition is inspired by the so-called intrinsic information of classical cryptography and is given by the halved minimum quantum conditional mutual information over all tripartite state extensions. We derive certain properties of the new measure which we call “squashed entanglement”: it is a lower bound on entanglement of formation and an upper bound on distillable entanglement. Furthermore, it is convex, additive on tensor products, and superadditive in general. Continuity in the state is the only property of our entanglement measure which we cannot provide a proof for. We present some evidence, however, that our quantity has this property, the strongest indication being a conjectured Fannes-type inequality for the conditional von Neumann entropy. This inequality is proved in the classical case.© 2004 American Institute of Physics.
© 2004 American Institute of Physics
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Bennett, C. H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J. A., and Wootters, W. K., "Purification of noisy entanglement and faithful teleportation via noisy channels," Phys. Rev. Lett. 76, 722–725 (1996)
78, 2031(E) (1997).
Bennett, C. H., DiVincenzo, D. P., Smolin, J. A., and Wootters, W. K., "Mixed-state entanglement and quantum error correction," Phys. Rev. A 54, 3824–3851 (1996).
Horodecki, M., Horodecki, P., and Horodecki, R., "Limits for entanglement measures," Phys. Rev. Lett. 84, 2014–2017 (2000).
Lieb, E. H., and Ruskai, M. B., "Proof of the strong subadditivity of quantum-mechanical entropy. With an appendix by B. Simon," J. Math. Phys. 14, 1938–1941 (1973)JMAPAQ000014000012001938000001.
Popescu, S., and Rohrlich, D., "Thermodynamics and the measure of entanglement," Phys. Rev. A 56, R3319–R3321 (1997).
Shor, P. W., Smolin, J. A., and Terhal, B. M., "Nonadditivity of bipartite distillable entanglement follows from a conjecture on bound entangled Werner states," Phys. Rev. Lett. 86, 2681–2684 (2001).
Vedral, V., Plenio, M. B., Rippin, M. A., and Knight, P. L., "Quantifying entanglement," Phys. Rev. Lett. 78, 2275–2279 (1997).
Vollbrecht, K. G. H., and Werner, R. F., "Entanglement measures under symmetry," Phys. Rev. A 64, 062307 (2001).
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