Optical implementation of a unitarily correctable code

TL;DR

This paper demonstrates the first optical implementation of a non-trivial unitarily correctable quantum error correction code, achieving high fidelity recovery of quantum states without the need for additional ancilla systems.

Contribution

It presents the first experimental realization of a unitarily correctable code in optics for a noisy quantum channel, showing effective state recovery without decoherence-free subspaces.

Findings

Recovery fidelity >= 0.97 achieved

First optical implementation of this error correction technique

Proves efficacy of unitarily correctable codes in practical settings

Abstract

Noise poses a challenge for any real-world implementation in quantum information science. The theory of quantum error correction deals with this problem via methods to encode and recover quantum information in a way that is resilient against that noise. Unitarily correctable codes are an error correction technique wherein a single unitary recovery operation is applied without the need for an ancilla Hilbert space. Here, we present the first optical implementation of a non-trivial unitarily correctable code for a noisy quantum channel with no decoherence-free subspaces or noiseless subsystems. We show that recovery of our initial states is achieved with high fidelity (>=0.97), quantitatively proving the efficacy of this unitarily correctable code.