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Geometric interpretation of the von Neumann entropy | | D. Ostapchuk
; G. Passante
; R. Kobes
; G. Kunstatter
; | | Date: |
26 Jul 2007 | | Abstract: | In the standard geometric approach to a measure of entanglement of a pure
state, $sin^2 heta$ is used, where $ heta$ is the angle between the state to
the closest separable state of products of normalized qubit states. We consider
here a generalization of this notion to separable states consisting of products
of unnormalized states of different dimension. In so doing, the entanglement
measure $sin^2 heta$ is found to have an interpretation as the distance
between the state to the closest separable state. We also find the eigenvalues
and eigenvectors of the reduced density matrices arising in the von Neumann
entropy are given by, respectively, the norm and components of a particular
separable state in this framework. | | Source: | arXiv, 0707.4020 | | Services: | Forum | Review | PDF | Favorites | |
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