Subnormalized states and trace-nonincreasing maps

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dc.creatorCappellini, Valerio
dc.creatorSommers, Hans-Juergen
dc.creatorZyczkowski, Karol
dc.date2007-01-19
dc.date2007-06-01
dc.date.accessioned2026-07-07T08:09:41Z
dc.date.available2026-07-07T08:09:41Z
dc.descriptionWe investigate the set of completely positive, trace-nonincreasing linear maps acting on the set M_N of mixed quantum states of size N. Extremal point of this set of maps are characterized and its volume with respect to the Hilbert-Schmidt (Euclidean) measure is computed explicitly for an arbitrary N. The spectra of partially reduced rescaled dynamical matrices associated with trace-nonincreasing completely positive maps belong to the N-cube inscribed in the set of subnormalized states of size N. As a by-product we derive the measure in M_N induced by partial trace of mixed quantum states distributed uniformly with respect to HS-measure in $M_{N^2}$.
dc.descriptionLaTeX, 21 pages, 4 Encapsuled PostScript figures, 1 table
dc.identifierhttps://arxiv.org/abs/quant-ph/0701143
dc.identifierhttp://arxiv.org/abs/quant-ph/0701143
dc.identifierJ. Math. Phys. 48(5), 052110 (2007)
dc.identifierdoi:10.1063/1.2738359
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131614
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleSubnormalized states and trace-nonincreasing maps
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