Nonlocal compensation of pure phase objects with entangled photons
S. Cialdi, D. Brivio, E. Tesio, M.G.A. Paris

TL;DR
This paper presents a method for nonlocal compensation of pure phase objects using entangled photons, enabling the restoration of entanglement and proposing a quantum key distribution protocol based on this technique.
Contribution
It introduces a scheme utilizing polarization and momentum entangled states for nonlocal phase compensation, demonstrated experimentally with a programmable spatial light modulator.
Findings
Purity and entanglement are reduced by phase objects but can be restored.
The setup enables a quantum key distribution protocol.
Experimental validation of nonlocal phase compensation.
Abstract
We suggest and demonstrate a scheme for coherent nonlocal compensation of pure phase objects based on two-photon polarization and momentum entangled states. The insertion of a single phase object on one of the beams reduces the purity of the state and the amount of shared entanglement, whereas the original entanglement can be retrieved by adding a suitable phase object on the other beam. In our setup polarization and momentum entangled states are generated by spontaneous parametric downconversion and then purified using a programmable spatial light modulator, which may be also used to impose arbitrary space dependent phase functions to the beams. As a possible application, we suggest and demonstrate a quantum key distribution protocol based on nonlocal phase compensation.
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