Shannon dimensionality of quantum channels and its application to photon entanglement

Details Shannon dimensionality of quantum channels and its application to photon entanglement Shannon dimensionality of quantum channels and its application to photon entanglement

2008-08-25

arxiv.org/abs/0808.3325v1

Physics

Quantum Physics

4 pages, 3 figures, accepted for Physical Review Letters

Scientific paper

10.1103/PhysRevLett.101.120502

We introduce the concept of Shannon dimensionality D as a new way to quantify bipartite entanglement as measured in an experiment. This is applied to orbital-angular-momentum entanglement of two photons, using two state analyzers composed of a rotatable angular-sector phase plate that is lens-coupled to a single-mode fiber. We can deduce the value of D directly from the observed two-photon coincidence fringe. In our experiment, D varies between 2 and 6, depending on the experimental conditions. We predict how the Shannon dimensionality evolves when the number of angular sectors imprinted in the phase plate is increased and anticipate that D = 50 is experimentally within reach.

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