Majorization of quantum polarization distributions

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.

8 pages, 8 figures

References in corpus (8)

• Quantum degrees of polarization
• Experimental demonstration of phase measurement precision beating standard quantum limit by projection measurement
• Distance-based degrees of polarization for a quantum field
• Quantum states for Heisenberg-limited interferometry
• Quantum reconstruction of an intense polarization squeezed optical state
• Maximally polarized states for quantum light fields
• Degree of Polarization in Quantum Optics through second generalization of Intensity
• Sub-Poissonian and anti-bunching criteria via majorization of statistics