Dissipative quantum metrology in manybody systems of identical particles

Abstract

Estimation of physical parameters is a must in almost any part of science and technology. The enhancement of the performances in this task, e.g., beating the standard classical shot-noise limit, using available physical resources is a major goal in metrology. Quantum metrology in closed systems has indicated that entanglement in such systems may be a useful resource. However, it is not yet fully understood whether in open quantum systems such enhancements may still show up. Here, we consider a dissipative (open) quantum system of identical particles in which a parameter of the open dynamics itself is to be estimated. We employ a recently-developed dissipative quantum metrology framework, and investigate whether the entanglement produced in the course of the dissipative dynamics may help the estimation task. Specifically, we show that even in a Markovian dynamics, in which states become less distinguishable in time, at small enough times entanglement generated by the dynamics may offer some advantage over the classical shot-noise limit.

9 pages, 2 figures

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• Quantum metrology: Heisenberg limit with bound entanglement
• Dealing with indistinguishable particles and their entanglement
• Universality of Schmidt decomposition and particle identity
• Coherence enhanced quantum metrology in a nonequilibrium optical molecule
• Quantum metrology in local dissipative environments
• Relating correlation measures: the importance of the energy gap
• Continuity of the quantum Fisher information
• Dynamics of spatially indistinguishable particles and entanglement protection
• Activating remote entanglement in a quantum network by local counting of identical particles
• Remarks on entanglement and identical particles
• Adaptive measurement filter: efficient strategy for optimal estimation of quantum Markov chains
• Unified entropies and quantum speed limits for nonunitary dynamics
• Weak measurement effect on optimal estimation with lower and upper bound on relativistic metrology
• Fundamental noisy multiparameter quantum bounds
• Enhancement of Frequency Estimation by Spatially Correlated Environments
• Estimating quantum Markov chains using coherent absorber post-processing and pattern counting estimator