Shannon dimensionality of quantum channels and its application to photon entanglement

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-couple...

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Veröffentlicht in:arXiv.org 2008-08
Hauptverfasser: Pors, J B, Oemrawsingh, S S R, Aiello, A, van Exter, M P, Eliel, E R, 't Hooft, G W, Woerdman, J P
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Oemrawsingh, S S R
Aiello, A
van Exter, M P
Eliel, E R
't Hooft, G W
Woerdman, J P
description 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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subjects Analyzers
Angular momentum
Coupled modes
Entanglement
Phase plates
Photons
Physics - Quantum Physics
title Shannon dimensionality of quantum channels and its application to photon entanglement
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