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.
Losslessness and faithfulness make their product SLDs equal, soD µ ⊗I=I⊗D µ with Dµ =S a,µ−Sb,µ
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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.