Bayesian monotone metrics extend Petz metrics to prior-averaged states, yielding computable lower bounds on multiparameter Bayes risk that dominate van Trees bounds and can be optimized via a one-parameter subfamily.
Tsang, Physics-inspired forms of the bayesian cram´ er- rao bound, Physical Review A102, 062217 (2020)
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Bayesian Monotone Metrics for Multiparameter Quantum Estimation
Bayesian monotone metrics extend Petz metrics to prior-averaged states, yielding computable lower bounds on multiparameter Bayes risk that dominate van Trees bounds and can be optimized via a one-parameter subfamily.