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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Majorization of quantum polarization distributions

arXiv
Authors: Alfredo Luis, Gonzalo Donoso

Year

2016

Paper ID

43186

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

Majorization provides a rather powerful partial-order classification of probability distributions depending only on the spread of the statistics, and not on the actual numerical values of the variable being described. We propose to apply majorization as a meta-measure of quantum polarization fluctuations, this is to say of the degree of polarization. We compare the polarization fluctuations of the most relevant classes of quantum and classical-like states. In particular we test Lieb's conjecture regarding classical-like states as the most polarized and a complementary conjecture that the most unpolarized pure states are the most nonclassical.

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  • Majorization provides a rather powerful partial-order classification of probability distributions depending only on the spread of the statistics, and not on the actual...

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