Robustness of channel-adapted quantum error correction

Abstract

A quantum channel models the interaction between the system we are interested in and its environment. Such a model can capture the main features of the interaction but because of the complexity of the environment we can not assume that it is fully accurate. We study the robustness of quantum error correction operations against completely unexpected and subsequently undetermined type of channel uncertainties. We find that a channel-adapted optimal error correction operation does not only give the best possible channel fidelity but it is more robust against channel alterations than any other error correction operation. Our results are valid for Pauli channels and stabilizer codes but based on some numerical results we believe that very similar conclusions can be drawn also in the general case.

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References in corpus (5)

• Optimum Quantum Error Recovery using Semidefinite Programming
• Iterative Optimization of Quantum Error Correcting Codes
• Robust Quantum Error Correction via Convex Optimization
• Structured Near-Optimal Channel-Adapted Quantum Error Correction
• Suboptimal quantum-error-correcting procedure based on semidefinite programming

Cited by in corpus (6)

• Optimized Entanglement-Assisted Quantum Error Correction
• Robustness-optimized quantum error correction
• Robustness of the concatenated quantum error-correction protocol against noise for channels affected by fluctuation
• Generality of the concatenated five-qubit code
• Truncated channel representations for coupled harmonic oscillators
• Recovery With Incomplete Knowledge: Fundamental Bounds on Real-Time Quantum Memories