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arXiv · 0805.2592

Classicality of spin states

Olivier Giraud·Petr Braun·Daniel Braun
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Abstract

We extend the concept of classicality in quantum optics to spin states. We call a state ``classical'' if its density matrix can be decomposed as a weighted sum of angular momentum coherent states with positive weights. Classical spin states form a convex set C, which we fully characterize for a spin-1/2 and a spin-1. For arbitrary spin, we provide ``non-classicality witnesses''. For bipartite systems, C forms a subset of all separable states. A state of two spins-1/2 belongs to C if and only if it is separable, whereas for a spin-1/2 coupled to a spin-1, there are separable states which do not belong to C. We show that in general the question whether a state is in C can be answered by a linear programming algorithm.

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Olivier Giraud, Petr Braun, Daniel Braun. 2008-05-16. Classicality of spin states. https://doi.org/10.1103/physreva.78.042112

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