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Optik

Feasible and economical scheme to entangle a polarized coherent state and a polarized photon

Dat Thanh Le, Cao Thi Bich, Nguyen Ba An

Published Oct 23, 2020• 5 citations
Publisher
DOI
10.1016/j.ijleo.2020.165820

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We propose a scheme to generate polarized hybrid entanglement in the form of $|H\ensuremath{\rangle}|\ensuremath{\alpha}\ensuremath{\rangle}+|V\ensuremath{\rangle}|\ensuremath{-}\ensuremath{\alpha}\ensuremath{\rangle}$ by interference between a superposition of coherent states and a polarization entangled photon pair. In the scheme two sets of interferences with perpendicular polarizations are designed to erase ``which path'' information. The joint output fields of the two sets of interferences are used to herald the generation of the polarized hybrid entanglement. The advantage of the protocol is its experimental feasibility since it not only realizes effective interference but also retains the polarization information in the output fields of interferences. We also analyze the effect of imperfect experimental conditions on the generated hybrid state, including inefficiency on-off single-photon detectors with dark counts and available approximate resource states. The theoretical analysis shows that the fidelity of the heralded hybrid state with small amplitude can be maintained at a high level under actual experimental conditions.
Abstract We show how to concentrate an arbitrary four-photon polarization entangled state into a maximally entangled state based on some quantum nondemolition detectors. The entanglement concentration protocol (ECP) resorts to an ancillary single-photon resource and the conventional projection measurement on photons to assist the concentration, which makes it more economical. Our ECP involves weak cross-Kerr nonlinearities, X homodyne measurement and basic linear-optical elements, which make it feasible in the current experimental technology. Moreover, the ECP considers cyclic utilization to enhance a higher success probability. Thus, our scheme is meaningful in practical applications in quantum communication.