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Quantum metrology using quantum combs and tensor network formalism
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abstract
We develop an efficient algorithm for determining optimal adaptive quantum estimation protocols with arbitrary quantum control operations between subsequent uses of a probed channel. We introduce a tensor network representation of an estimation strategy, which drastically reduces the time and memory consumption of the algorithm, and allows us to analyze metrological protocols involving up to $N=50$ qubit channel uses, whereas the state-of-the-art approaches are limited to $N<5$. The method is applied to study the performance of the optimal adaptive metrological protocols in presence of various noise types, including correlated noise.
Forward citations
Cited by 2 Pith papers
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From the Hong-Ou-Mandel Effect to Quantum Sensing: Interference of Nonclassical Light with Partial Distinguishability and Noise
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Optimal Strategies for Multi-parameter Quantum Metrology
A conic and semidefinite-programming framework computes exact Holevo, Nagaoka-Hayashi, and SLD precision bounds for multiparameter quantum metrology across parallel, sequential, and indefinite-causal-order strategies,...
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