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Divergences in the 2-qubits space: Werner and thermal states

AuthorsBorras, A.; Plastino, Ángel R.; Casas, Montserrat CSIC; Plastino, A.
KeywordsJensen-Shannono divergence
Heisenberg model
Issue Date1-Jul-2009
CitationApplied Mathematical Sciences 3 (21): 1041-1059 (2009)
AbstractWe revisit the notion of using divergences, or relative-entropies, as measures of the distance between two mixed states, with special emphasis on power-law entropies. We analyze the Csisz´ar and Bregmantype q-divergences with reference to i) Werner states, and ii) thermal states obtained using a one-dimensional Heisenberg two-spin chain with a magnetic field B along the z-axis. In both cases, we find that the q-Jensen-Shannon divergence enlarges the range of permissible powerlaw exponents, as compared to results of previous literature. It is also shown that this divergence-measure serves as a good indicator for critical phenomena in the Heisenberg model.
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