2003/07/31 by Florian Mintert, Karol Życzkowski, Karol Zyczkowski · 5 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.1103/physreva.69.022317
published as PRA 69, 022317 (2004)
arxiv created 2003/11/04 · openalex publication_date 2004/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose to quantify the entanglement of pure states of N\ifmmode×\else\texttimes\fiN bipartite quantum systems by defining its Husimi distribution with respect to SU(N)\ifmmode×\else\texttimes\fiSU(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 (R'enyi) subentropies, are proved to be Schur concave, so they are entanglement monotones and may be used as alternative measures of entanglement.