Non-negative Wigner functions for orbital angular momentum states

Details Non-negative Wigner functions for orbital angular momentum states Non-negative Wigner functions for orbital angular momentum states

2009-09-10

arxiv.org/abs/0909.1887v2

Phys. Rev. A 81, 012101 (2010)

Physics

Quantum Physics

4 pages. Minor changes (including title). To appear in Physica. Review A

Scientific paper

10.1103/PhysRevA.81.012101

The Wigner function of a pure continuous-variable quantum state is
non-negative if and only if the state is Gaussian. Here we show that for the
canonical pair angle and angular momentum, the only pure states with
non-negative Wigner functions are the eigenstates of the angular momentum. Some
implications of this surprising result are discussed.

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