Transverse Entanglement Migration in Hilbert Space

Abstract

We show that, although the amount of mutual entanglement of photons propagating in free space is fixed, the type of correlations between the photons that determine the entanglement can dramatically change during propagation. We show that this amounts to a migration of entanglement in Hilbert space, rather than real space. For the case of spontaneous parametric down conversion, the migration of entanglement in transverse coordinates takes place from modulus to phase of the bi-photon state and back again. We propose an experiment to observe this migration in Hilbert space and to determine the full entanglement.

4 pages, 3 figures

Cited by in corpus (5)

• Observation of tunable Popescu-Rohrlich correlations through post-selection of a gaussian state
• Propagation of transverse intensity correlations of a two-photon state
• Detection of transverse entanglement in phase space
• Control, measurement and propagation of entanglement in photon pairs generated through type-II parametric downconversion
• Spatial entanglement of paired photons generated in cold atomic ensembles