Optical implementation of a unitarily correctable code

Physics – Quantum Physics

Scientific paper

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6 pages, 3 figures

Scientific paper

10.1103/PhysRevA.80.022311

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.

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