Transverse Entanglement Migration in Hilbert Space

Details Transverse Entanglement Migration in Hilbert Space Transverse Entanglement Migration in Hilbert Space

2006-08-21

arxiv.org/abs/quant-ph/0608163v2

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevA.75.050101

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.

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