Gaussian error correction of quantum states in a correlated noisy channel

Abstract

Noise is the main obstacle for the realization of fault tolerant quantum information processing and secure communication over long distances. In this work, we propose a communication protocol relying on simple linear optics that optimally protects quantum states from non-Markovian or corre- lated noise. We implement the protocol experimentally and demonstrate the near ideal protection of coherent and entangled states in an extremely noisy channel. Since all real-life channels are exhibit- ing pronounced non-Markovian behavior, the proposed protocol will have immediate implications in improving the performance of various quantum information protocols.

New references added

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• Satellite-Based Continuous-Variable Quantum Communications: State-of-the-Art and a Predictive Outlook
• Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes
• Quantum entanglement swapping between two multipartite entangled states
• Squeezing-enhanced quantum key distribution over atmospheric channels
• Preventing side-channel effects in continuous-variable quantum key distribution
• Complete elimination of information leakage in continuous-variable quantum communication channels
• Demonstration of quantum error correction for enhanced sensitivity of photonic measurements
• Environment-assisted bosonic quantum communications
• Topological error correction with a Gaussian cluster state
• Non-Markovian Reactivation of Quantum Relays
• Sudden death and revival of Gaussian Einstein-Podolsky-Rosen steering in noisy channels
• Frequency multiplexed entanglement for continuous-variable quantum key distribution
• Suppressing correlated noise in signals transmitted over the Gaussian memory channels using $2N$-port splitter and phase flips