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Quantum error correction and detection: Quantitative analysis of a coherent-state amplitude-damping code

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van Loock,  Peter
van Loock Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Wickert, R., & van Loock, P. (2014). Quantum error correction and detection: Quantitative analysis of a coherent-state amplitude-damping code. PHYSICAL REVIEW A, 89(5): 052309. doi:10.1103/PhysRevA.89.052309.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-65FB-7
Abstract
We reexamine a non-Gaussian quantum error-correction code designed to protect optical coherent-state qubits against errors due to an amplitude-damping channel. We improve on a previous result [R. Wickert, N. K. Bernardes, and P. van Loock, Phys. Rev. A 81, 062344 (2010)] by providing a tighter upper bound on the performance attained when considering realistic assumptions, which constrain the operation of the gates employed in the scheme. The quantitative characterization is performed through measures of fidelity and concurrence, the latter obtained by employing the code as an entanglement distillation protocol. We find that, when running the code in fully deterministic error-correction mode, direct transmission can only be beaten for certain combinations of channel and input state parameters. In contrast, in error-detection mode, the usage of higher repetition encodings remains beneficial throughout, however, at the expense of diminishing success probabilities.