Phys. Rev. A 69, 022317 (2004) [11 pages]Wehrl entropy, Lieb conjecture, and entanglement monotonesReceived 2 September 2003; published 24 February 2004 We propose to quantify the entanglement of pure states of N×N bipartite quantum systems by defining its Husimi distribution with respect to SU(N)×SU(N) coherent states. The Wehrl entropy is minimal if and only if the analyzed pure state is separable. The excess of the Wehrl entropy is shown to be equal to the subentropy of the mixed state obtained by partial trace of the bipartite pure state. This quantity, as well as the generalized (Rényi) subentropies, are proved to be Schur concave, so they are entanglement monotones and may be used as alternative measures of entanglement. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.022317
DOI:
10.1103/PhysRevA.69.022317
PACS:
03.67.Mn, 03.65.Ud, 89.70.+c
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.