Quantum metrology using quantum combs and tensor network formalism

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...

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Main Authors: Stanisław Kurdziałek, Piotr Dulian, Joanna Majsak, Sagnik Chakraborty, Rafał Demkowicz-Dobrzański
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ada8d1
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author Stanisław Kurdziałek
Piotr Dulian
Joanna Majsak
Sagnik Chakraborty
Rafał Demkowicz-Dobrzański
author_facet Stanisław Kurdziałek
Piotr Dulian
Joanna Majsak
Sagnik Chakraborty
Rafał Demkowicz-Dobrzański
author_sort Stanisław Kurdziałek
collection DOAJ
description 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.
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institution Kabale University
issn 1367-2630
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publishDate 2025-01-01
publisher IOP Publishing
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series New Journal of Physics
spelling doaj-art-05a7b521d58543539bb2beed1b9067562025-01-27T07:31:44ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127101301910.1088/1367-2630/ada8d1Quantum metrology using quantum combs and tensor network formalismStanisław Kurdziałek0https://orcid.org/0000-0001-8877-1421Piotr Dulian1https://orcid.org/0009-0006-7312-2844Joanna Majsak2https://orcid.org/0000-0001-6612-328XSagnik Chakraborty3https://orcid.org/0000-0001-6345-9757Rafał Demkowicz-Dobrzański4https://orcid.org/0000-0001-5550-4431Faculty of Physics, University of Warsaw , Pasteura 5, 02-093 Warszawa, PolandFaculty of Physics, University of Warsaw , Pasteura 5, 02-093 Warszawa, Poland; Center for Theoretical Physics, Polish Academy of Sciences , Al. Lotników 32/46, 02-668 Warszawa, PolandFaculty of Physics, University of Warsaw , Pasteura 5, 02-093 Warszawa, Poland; Quantum Research Center, Technology Innovation Institute , Abu Dhabi, United Arab EmiratesFaculty of Physics, University of Warsaw , Pasteura 5, 02-093 Warszawa, Poland; Departamento de Física Teórica, Facultad de Ciencias Físicas, Universidad Complutense , 28040 Madrid, SpainFaculty of Physics, University of Warsaw , Pasteura 5, 02-093 Warszawa, PolandWe 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.https://doi.org/10.1088/1367-2630/ada8d1quantum metrologyquantum Fisher informationquantum combsquantum processestensor networkscorrelated noise
spellingShingle Stanisław Kurdziałek
Piotr Dulian
Joanna Majsak
Sagnik Chakraborty
Rafał Demkowicz-Dobrzański
Quantum metrology using quantum combs and tensor network formalism
New Journal of Physics
quantum metrology
quantum Fisher information
quantum combs
quantum processes
tensor networks
correlated noise
title Quantum metrology using quantum combs and tensor network formalism
title_full Quantum metrology using quantum combs and tensor network formalism
title_fullStr Quantum metrology using quantum combs and tensor network formalism
title_full_unstemmed Quantum metrology using quantum combs and tensor network formalism
title_short Quantum metrology using quantum combs and tensor network formalism
title_sort quantum metrology using quantum combs and tensor network formalism
topic quantum metrology
quantum Fisher information
quantum combs
quantum processes
tensor networks
correlated noise
url https://doi.org/10.1088/1367-2630/ada8d1
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AT joannamajsak quantummetrologyusingquantumcombsandtensornetworkformalism
AT sagnikchakraborty quantummetrologyusingquantumcombsandtensornetworkformalism
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