A monitored quantum trajectory can be compressed to its type counts without losing quantum Fisher information or model recovery, while universal state recovery still requires the full ordered record.
Conditions for the approximate correction of algebras
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abstract
We study the approximate correctability of general algebras of observables, which represent hybrid quantum-classical information. This includes approximate quantum error correcting codes and subsystems codes. We show that the main result of arXiv:quant-ph/0605009 yields a natural generalization of the Knill-Laflamme conditions in the form of a dimension independent estimate of the optimal reconstruction error for a given encoding, measured using the trace-norm distance to a noiseless channel.
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Task-Dependent Syndrome Memory in Quantum Sensing and State Recovery
A monitored quantum trajectory can be compressed to its type counts without losing quantum Fisher information or model recovery, while universal state recovery still requires the full ordered record.