Classicality of spin states

Details Classicality of spin states Classicality of spin states

2008-05-16

arxiv.org/abs/0805.2592v1

Phys. Rev. A 78, 042112 (2008)

Physics

Quantum Physics

9 pages revtex, 1 figure eps; includes tcilatex.tex

Scientific paper

10.1103/PhysRevA.78.042112

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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