Loss-tolerant quantum enhanced metrology and state engineering via the reverse Hong-Ou-Mandel effect
Alexander E. Ulanov, Ilya A. Fedorov, Demid Sychev, Philippe Grangier, and Alexander I. Lvovsky

TL;DR
This paper introduces a loss-tolerant method for quantum metrology and state engineering using the reverse Hong-Ou-Mandel effect, enabling high-fidelity entangled states sharing between remote parties despite losses.
Contribution
It presents a novel approach employing the reverse Hong-Ou-Mandel effect to generate robust entangled states and Schrödinger's cat states over lossy channels.
Findings
High-fidelity two-photon N00N states can be shared over lossy channels.
Enhanced phase sensitivity is achievable at remote locations.
Remote preparation of Schrödinger's cat states is demonstrated.
Abstract
Preparing highly entangled quantum states between remote parties is a major challenge for quantum communications [1-8]. Particularly promising in this context are the N00N states, which are entangled N-photon wavepackets delocalized between two different locations, providing measurement sensitivity limited only by the uncertainty principle [1, 10-15]. However, these states are notoriously vulnerable to losses, making it difficult both to share them between remote locations, and to recombine them to exploit interference effects. Here we address this challenge by utilizing the reverse version of the Hong-Ou-Mandel effect [16] to prepare a high-fidelity two-photon N00N state shared between two parties connected by a lossy optical channel. Furthermore, we demonstrate that the enhanced phase sensitivity can be directly exploited in the two distant locations, and we remotely prepare…
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