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SUMMARY:On the contractivity of Hilbert-Schmidt distance under open quantu
 m dynamics - Xiaoting Wang (CQC Cambridge)
DTSTART:20090305T141500Z
DTEND:20090305T151500Z
UID:TALK17258@talks.cam.ac.uk
CONTACT:Lawrence Ioannou
DESCRIPTION:We show that the Hilbert-Schmidt (HS) norm and distance\, unli
 ke the\ntrace norm and distance\, are generally not contractive for open\n
 quantum systems subject to Lindblad semigroup dynamics.  Necessary\nand su
 fficient conditions for monotonicity of the HS norm and\ndistance are give
 n\, and explicit criteria for contractivity in terms\nof the Lindblad diss
 ipation operators derived.  \n
LOCATION:MR11\, Centre for Mathematical Sciences
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