Distance-based degrees of polarization for a quantum field

Details Distance-based degrees of polarization for a quantum field Distance-based degrees of polarization for a quantum field

2005-04-29

arxiv.org/abs/quant-ph/0504226v1

Phys.Rev. A72 (2005) 033813

Physics

Quantum Physics

8 pages, 1 eps figure

Scientific paper

10.1103/PhysRevA.72.033813

It is well established that unpolarized light is invariant with respect to any SU(2) polarization transformation. This requirement fully characterizes the set of density matrices representing unpolarized states. We introduce the degree of polarization of a quantum state as its distance to the set of unpolarized states. We use two different candidates of distance, namely the Hilbert-Schmidt and the Bures metric, showing that they induce fundamentally different degrees of polarization. We apply these notions to relevant field states and we demonstrate that they avoid some of the problems arising with the classical definition.

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