Entropy as a function of geometric phase

We give a closed-form solution of von Neumann entropy as a function of geometric phase modulated by visibility and average distinguishability in Hubert spaces of two and three dimensions. We show that the same type of dependence also exists in higher dimensions albeit with other terms. For non-maxim...

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Detalhes bibliográficos
Main Authors: Hartley, J, Vedral, V
Formato: Journal article
Idioma:English
Publicado em: 2004
Descrição
Resumo:We give a closed-form solution of von Neumann entropy as a function of geometric phase modulated by visibility and average distinguishability in Hubert spaces of two and three dimensions. We show that the same type of dependence also exists in higher dimensions albeit with other terms. For non-maximal mixing, the results become more involved and generally depend also on the probability of the states. We also outline a method for measuring both the entropy and the phase experimentally using a simple Mach-Zehnder-type interferometer which explains physically why the two concepts are related.