Two-photon speckle as a probe of multi-dimensional entanglement

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dc.creatorBeenakker, C. W. J.
dc.creatorVenderbos, J. W. F.
dc.creatorvan Exter, M. P.
dc.date2009-01-15
dc.date.accessioned2026-07-07T13:14:19Z
dc.date.available2026-07-07T13:14:19Z
dc.descriptionWe calculate the statistical distribution P_2(I_2) of the speckle pattern produced by a photon pair current I_2 transmitted through a random medium, and compare with the single-photon speckle distribution P_1(I_1). We show that the purity Tr rho^2 of a two-photon density matrix rho can be directly extracted from the first two moments of P_1 and P_2. A one-to-one relationship is derived between P_1 and P_2 if the photon pair is in an M-dimensional entangled pure state. For M>>1 the single-photon speckle disappears, while the two-photon speckle acquires an exponential distribution. The exponential distribution transforms into a Gaussian if the quantum entanglement is degraded to a classical correlation of M>>1 two-photon states. Two-photon speckle can therefore discriminate between multi-dimensional quantum and classical correlations.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0901.2232
dc.identifierhttp://arxiv.org/abs/0901.2232
dc.identifierPhys.Rev.Lett. 102, 193601 (2009)
dc.identifierdoi:10.1103/PhysRevLett.102.193601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230172
dc.subjectQuantum Physics
dc.subjectMesoscale and Nanoscale Physics
dc.titleTwo-photon speckle as a probe of multi-dimensional entanglement
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