Adaptive quantum metrology under general Markovian noise
By Rafal Demkowicz-Dobrzanski, J. Czajkowski, Pavel Sekatski. 2017
168 citations recorded by the source corpus.
We consider a general model of unitary parameter estimation in presence of Markovian noise, where the parameter to be estimated is associated with the Hamiltonian part of the dynamics. In absence of noise, unitary parameter can be estimated with precision scaling as $1/T$, where $T$ is the total probing time. We provide a simple algebraic condition involving solely the operators appearing in the quantum Master equation, implying at most $1/\sqrt{T}$ scaling of precision under the most general adaptive quantum estimation strategies. We also discuss the requirements a quantum error-correction like protocol must satisfy in order to regain the $1/T$ precision scaling in case the above mentioned algebraic condition is not satisfied. Furthermore, we apply the developed methods to understand fundamental precision limits in atomic interferometry with many-body effects taken into account, shedding new light on the performance of non-linear metrological models.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/6cb4844935ee970c2a5149a12eab68da53db0856
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited (2017, background): “Thus, the behavior observed is just the example of the classical scaling recovery for sufficiently large temperature studied in detail recently for a more general case of an arbitrary Markovian noise [22].”