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Infinitesimal propagation equation for decoherence of an OAM entangled biphoton in atmospheric turbulence

2011/02/28 by Filippus S. Roux · 1 citation
Physics and Astronomy · #physics.optics #quant-ph

paper · pdf · doi:10.1103/physreva.83.053822

published as Physical Review A, Vol 83, 053822 (2011) · 12 pages, 3 figures, expanded version of arXiv:1009.1956. Minor corrections to improve clarity

arxiv created 2011/05/11 · arxiv updated 2011/05/20

Abstract

We derive a first order differential equation for the decoherence of an orbital angular momentum entangled biphoton state propagating through a turbulent atmosphere. The derivation is based on the distortion that orbital angular momentum states experience due to propagation through a thin sheet of turbulent atmosphere. This distortion is treated as an infinitesimal transformation leading to a first order differential equation, which we call an infinitesimal propagation equation. The equation is applied to a simple qubit case to show how the entanglement decays.

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