Quantum state transfer through time reversal of an optical channel
M. R. Hush, C. D. B. Bentley, R. L. Ahlefeldt, M. R. James, M. J., Sellars, V. Ugrinovskii

TL;DR
This paper proposes a method for perfect quantum state transfer using time reversal of an optical channel, employing gradient echo memory, with potential applications to entangled states.
Contribution
It introduces a novel approach for quantum state transfer via time reversal of the optical channel, utilizing GEM and analyzing effects of imperfections and collective dynamics.
Findings
Time reversal with GEM enables perfect state transfer.
Superradiant effects enhance coupling and fidelity.
Applicability to entangled state transfer is discussed.
Abstract
Rare earth ions have exceptionally long coherence times, making them an excellent candidate for quantum information processing. A key part of this processing is quantum state transfer. We show that perfect state transfer can be achieved by time reversing the intermediate quantum channel, and suggest using a gradient echo memory (GEM) to perform this time reversal. We propose an experiment with rare earth ions to verify these predictions, where an emitter and receiver crystal are connected with an optical channel passed through a GEM. We investigate the affect experimental imperfections and collective dynamics have on the state transfer process. We demonstrate superrandiant effects can enhance coupling into the optical channel and improve the transfer fidelity. We lastly discuss how our results apply to state transfer of entangled states.
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