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23 April 2024 |
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Geometric Characterization of True Quantum Decoherence | | Julius Kayser
; Kimmo Luoma
; Walter T. Strunz
; | | Date: |
17 Aug 2015 | | Abstract: | Surprisingly often decoherence is due to classical fluctuations of ambient
fields and may thus be described in terms of random unitary (RU) dynamics.
However, there are decoherence channels where such a representation cannot
exist. Based on a simple and intuitive geometric measure for the distance of an
extremal channel to the convex set of RU channels we are able to characterize
the set of true quantum phase-damping channels. Remarkably, using the
Caley-Menger determinant, our measure may be assessed directly from the matrix
representation of the channel. We find that the channel of maximum quantumness
is closely related to a symmetric, informationally-complete positive
operator-valued measure (SIC-POVM) on the environment. Our findings are in line
with numerical results based on the entanglement of assistance. | | Source: | arXiv, 1508.4027 | | Services: | Forum | Review | PDF | Favorites | |
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