Quantum

Higher-order quantum information inequalities and error-correction of non-Markovian noise

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Briefings

A new method defines quantum channel entropy via the Choi state, yielding higher-order information inequalities that detect non-Markovian effects beyond standard side-channels. This approach also establishes conditions for recovering quantum channel preparations under non-Markovian noise, extending standard error-correction principles. The study applies these methods to specific examples to demonstrate the utility of the new measures.

Key points

• Quantum channel entropy is defined as the quantum entropy of the associated Choi state, enabling assessment of information-processing limitations.
• Higher-order quantum information inequalities serve as witnesses for non-Markovian effects beyond a given number of quantum side-channels in a quantum process.

Context

This research addresses the challenge of defining quantum channel entropy by using the Choi state, providing new tools to analyze non-Markovian noise effects in quantum information processing.

Limitations

The study applies methods to specific examples rather than providing a general proof for all quantum channels. Results are presented with the application of methods, and the exact number of side-channels beyond which non-Markovian effects are detected remains a specific finding rather than a universal bound.

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