Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Conference on Lasers and Electro-Optics

Shannon Dimensionality of Quantum Channels

J. B. Pors, Sumant S. R. Oemrawsingh, Andrea Aiello, Martin P. van Exter, Gert W. ’t Hooft, E. R. Eliel, J. P. Woerdman

Published Jan 1, 2009• 1 citation
Publisher

Abstract

We introduce the Shannon dimensionality D to quantify the capacity of quantum channels. This is applied to angular entanglement of photons. Experimentally, D varies from 3 to 6 and values up to 50 are feasible.
DOI
10.1364/cleo.2009.jthe104

Related papers

Shannon Dimensionality of Quantum Channels and Its Application to Photon Entanglement

J. B. Pors, Sumant S. R. Oemrawsingh, Andrea Aiello +4 more

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 approximately 50 is experimentally within reach.

arXiv:0808.3325•Physical Review Letters•Sep 18, 2008•84 citations

Angular dimensionality of two-photon entanglement

J. B. Pors, Sumant S. R. Oemrawsingh, Martin P. van Exter +4 more

We pass twin-photons through rotatable angular phase plates, and detect entanglement that has a continuously variable angular dimensionality D. Experimentally, D was varied from 2 to 6 and values up to 50 are practically feasible.

Conference on Lasers and Electro-Optics•May 4, 2008•0 citations

Angular Dimensionality of Two-Photon Entanglement

J. P. Woerdman, J. B. Pors, Sumant S. R. Oemrawsingh +4 more

We pass twin-photons through rotatable angular phase plates and detect entanglement which has a continuously variable azimuthal dimension Daz. Experimentally, Daz has been varied from 2.2 to 3 ; values up to 100 are practically feasible.

Frontiers in Optics•Jan 1, 2007•0 citations

Angular Dimensionality of Two-Photon Entanglement

E. R. Eliel, J. B. Pors, Sumant S. R. Oemrawsingh +4 more

We use rotatable angular phase plates to determine the angular dimensionality in twin-photon entanglement. We measure values between 2 and 6, depending on the shape of the phase plates; a value of 50 seems feasible.

International Conference on Quantum Information•Jan 1, 2008•0 citations

Angular entanglement of two photons

E. R. Eliel, Bart-Jan Pors, Sumant S. R. Oemrawsingh +3 more

Most protocols for quantum communication rely on entanglement between qubits. In this contribution we report on an experiment on angular entanglement of two photons. We introduce a quantifier of the dimensionality of the entanglement, using concepts from classical information theory. This Shannon dimensionality gives the effective number of information channels. We exploit the orbital-angular-momentum degree of freedom of photons that emerge from a parametric down-conversion source. The number of entangled modes, known as the Schmidt number, is of order 40. The entanglement is analyzed with a pair of angular state projectors, each consisting of a phase plate, a single-mode fiber and a single-photon detector. The phase plates are rotated about their axes and we record the photon coincidence rate as a function of their independent orientations. The coincidence count rates depend only on the relative orientation of the analyzers. This is a key signature of entanglement.

Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)•Jun 1, 2009•0 citations

Secure information capacity of photons entangled in many dimensions

Jonathan Leach, Eliot Bolduc, Daniel J. Gauthier +1 more

We quantify precisely the maximum secure information capacity of photons entangled in high dimensions for entanglement in the orbital angular momentum and angular degrees of freedom. Our analysis takes careful account of the influence of experimental imperfections, such as nonunity detection efficiency, on the degree of Einstein-Podolsky-Rosen (EPR) entanglement and hence on the secure information capacity of the photon pairs. We find that there is is an optimal dimension that maximizes the secure information capacity whose value can be predicted analytically from the knowledge of only a few experimental parameters.

Physical Review A•Jun 28, 2012•74 citations
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 approximately 50 is experimentally within reach.
Most protocols for quantum communication rely on entanglement between qubits. In this contribution we report on an experiment on angular entanglement of two photons. We introduce a quantifier of the dimensionality of the entanglement, using concepts from classical information theory. This Shannon dimensionality gives the effective number of information channels. We exploit the orbital-angular-momentum degree of freedom of photons that emerge from a parametric down-conversion source. The number of entangled modes, known as the Schmidt number, is of order 40. The entanglement is analyzed with a pair of angular state projectors, each consisting of a phase plate, a single-mode fiber and a single-photon detector. The phase plates are rotated about their axes and we record the photon coincidence rate as a function of their independent orientations. The coincidence count rates depend only on the relative orientation of the analyzers. This is a key signature of entanglement.
We quantify precisely the maximum secure information capacity of photons entangled in high dimensions for entanglement in the orbital angular momentum and angular degrees of freedom. Our analysis takes careful account of the influence of experimental imperfections, such as nonunity detection efficiency, on the degree of Einstein-Podolsky-Rosen (EPR) entanglement and hence on the secure information capacity of the photon pairs. We find that there is is an optimal dimension that maximizes the secure information capacity whose value can be predicted analytically from the knowledge of only a few experimental parameters.