Speckle statistic of entangled photons
Many quantum systems share interesting features with wave propagation in disordered media, such as apparently diffusive dynamics with an underlying coherent structure. The interplay of these properties is interesting both from a fundamental standpoint and for applications.
I will discuss one such problem: the statistical properties of an N-photon packet in a random elastically scattering medium. I will describe how information about the quantum state of the packet is encoded in the photon speckle pattern, how it can be measured, and why such measurements become exponentially sensitive with N. Finally I will discuss how state information is hidden in long-ranged correlations of the photon speckles.