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Metrology of open quantum systems from emitted radiation
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We explore the task of learning about the dynamics of a Markovian open quantum system by monitoring the information it radiates into its environment. For an open system with Hilbert space dimension $D$, the quantum state of the emitted radiation can be described as a temporally ordered matrix-product state (MPS). We provide simple analytical expressions for the quantum Fisher information (QFI) of the radiation state, which asymptotically scales linearly with the sensing time unless the open system has multiple steady states. We characterize the crossovers in QFI near dynamical phase transitions, emphasizing the role of temporal correlations in setting the asymptotic rate at which QFI increases. We discuss when optimal sensing is possible with instantaneously measured radiation.
Forward citations
Cited by 3 Pith papers
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In a monitored dissipative spin model realizable on Rydberg simulators, free-energy functionals applied to trajectory ensembles identify dynamical features akin to hydrophobic effects in classical phase transitions.
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Quantum Trajectory Entanglement in Seeded Boundary Time Crystals
Seeding boundary time crystals induces a measurement-induced phase transition where steady-state entanglement entropy scales with system size N in the seeded phase but decays exponentially otherwise.
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