The strong Markov property holds if and only if the state has correlation decay for suitable observables, enabling single-copy multi-observable estimation and forcing local marginals of such states to be close or well-separated.
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Note on Strong Quantum Markov Properties
The strong Markov property holds if and only if the state has correlation decay for suitable observables, enabling single-copy multi-observable estimation and forcing local marginals of such states to be close or well-separated.