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

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.

preprint2011arXivOpen access
Filippus S. Roux
physics.opticsquant-ph
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Filippus S. Roux

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