Environment-Assisted Error Correction of Single-Qubit Phase Damping

Abstract

Open quantum system dynamics of random unitary type may in principle be fully undone. Closely following the scheme of environment-assisted error correction proposed by Gregoratti and Werner [M. Gregoratti and R. F. Werner, J. Mod. Opt. 50(6), 915-933 (2003)], we explicitly carry out all steps needed to invert a phase-damping error on a single qubit. Furthermore, we extend the scheme to a mixed-state environment. Surprisingly, we find cases for which the uncorrected state is closer to the desired state than any of the corrected ones.

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Cited by in corpus (5)

• Environment-Assisted Quantum State Restoration Via Weak Measurement
• Restoration of Quantum State in Dephasing Channel
• System-environment correlations and Non-Markovian dynamics
• Noise assisted quantum coherence protection in hierarchical environment
• Parametrization and optimization of Gaussian non-Markovian unravelings for open quantum dynamics