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Two-Photon Speckle as a Probe of Multi-Dimensional Entanglement

2009/01/15 by C. W. J. Beenakker, Jörn W. F. Venderbos, J. W. F. Venderbos +1 · 1 citation
Computer Science · Physics and Astronomy · #Orbital Angular Momentum in Optics #Quantum Information and Cryptography #Random lasers and scattering media #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physrevlett.102.193601

published as Phys.Rev.Lett. 102, 193601 (2009) · 5 pages, 2 figures

arxiv created 2009/01/15 · openalex publication_date 2009/05/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the statistical distribution P2(I2) of the speckle pattern produced by a photon pair current I2 transmitted through a random medium, and compare it with the single-photon speckle distribution P1(I1). We show that the purity of a two-photon density matrix can be directly extracted from the first two moments of P1 and P2. A one-to-one relationship is derived between P1 and P2 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.

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