Non-Markovian strong coupling in a bosonic probe produces non-monotonic quantum Fisher information with a finite optimal interrogation time for thermometry, while squeezed states give transient gains and strong coupling softens low-T error scaling from exponential to polynomial.
Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
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abstract
We construct a general measure for the degree of non-Markovian behavior in open quantum systems. This measure is based on the trace distance which quantifies the distinguishability of quantum states. It represents a functional of the dynamical map describing the time evolution of physical states, and can be interpreted in terms of the information flow between the open system and its environment. The measure takes on nonzero values whenever there is a flow of information from the environment back to the open system, which is the key feature of non-Markovian dynamics.
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