Quantum Error Correction of Continuous Variable States against Gaussian Noise

Abstract

We describe a continuous variable error correction protocol that can correct the Gaussian noise induced by linear loss on Gaussian states. The protocol can be implemented using linear optics and photon counting. We explore the theoretical bounds of the protocol as well as the expected performance given current knowledge and technology.

References in corpus (4)

• A No-Go Theorem for Gaussian Quantum Error Correction
• Fault-tolerant linear optical quantum computing with small-amplitude coherent states
• High-fidelity continuous-variable quantum teleportation toward multi-step quantum operations
• Experimentally feasible quantum erasure-correcting code for continuous variables

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