Experimentally feasible quantum erasure-correcting code for continuous variables
J. Niset, U.L. Andersen, and N.J. Cerf

TL;DR
This paper introduces a practical continuous-variable quantum erasure-correcting code that protects quantum states of light from losses, enabling near-perfect recovery when erasures are detectable and offering an efficient filtration scheme with postselection.
Contribution
It presents the first experimentally feasible quantum erasure-correcting code for continuous variables, combining loss protection with potential for perfect recovery and erasure filtration.
Findings
First continuous-variable quantum erasure-correcting code proposed.
Protocol can achieve near-perfect recovery of quantum states.
Feasibility analysis supports experimental implementation.
Abstract
We devise a scheme that protects quantum coherent states of light from probabilistic losses, thus achieving the first continuous-variable quantum erasure-correcting code. If the occurrence of erasures can be probed, then the decoder enables, in principle, a perfect recovery of the original light states. Otherwise, if supplemented with postselection based on homodyne detection, this code can be turned into an efficient erasure-filtration scheme. The experimental feasibility of the proposed protocol is carefully addressed.
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