Quantum metrology using quantum combs and tensor network formalism

Fuente: arXiv
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Autores principales: Kurdzialek, Stanislaw, Dulian, Piotr, Majsak, Joanna, Chakraborty, Sagnik, Demkowicz-Dobrzanski, Rafal
Formato: Preprint
Publicado: 2024
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author Kurdzialek, Stanislaw
Dulian, Piotr
Majsak, Joanna
Chakraborty, Sagnik
Demkowicz-Dobrzanski, Rafal
author_facet Kurdzialek, Stanislaw
Dulian, Piotr
Majsak, Joanna
Chakraborty, Sagnik
Demkowicz-Dobrzanski, Rafal
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_04854
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum metrology using quantum combs and tensor network formalism
Kurdzialek, Stanislaw
Dulian, Piotr
Majsak, Joanna
Chakraborty, Sagnik
Demkowicz-Dobrzanski, Rafal
Quantum Physics
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.
title Quantum metrology using quantum combs and tensor network formalism
topic Quantum Physics
url https://arxiv.org/abs/2403.04854