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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2024, Volume 324, Pages 179–187
DOI: https://doi.org/10.4213/tm4380 (Mi tm4380) 		 
Metric on the Space of Quantum Processes

E. A. Pankovetsa, L. E. Fedichkinb

a Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701 Russia
b Valiev Institute of Physics and Technology of Russian Academy of Sciences, Nakhimovskii prosp. 36-1, Moscow, 117218 Russia
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DOI: https://doi.org/10.4213/tm4380
Abstract: We consider a metric $D$ describing the difference between real (noisy) and ideal processes that is based on the operator norm of the maximum deviation between the final real and ideal states of a quantum system. We discuss the properties as well as geometric and experimental interpretations of the metric.
Keywords: decoherence, quantum channels, decoherence metric, operator norm, noise level estimation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FFNN-2022-0016
This work was supported by the Ministry of Science and Higher Education of the Russian Federation within the state assignment for the Valiev Institute of Physics and Technology of Russian Academy of Sciences (project no. FFNN-2022-0016).
Received: August 31, 2023
Revised: September 29, 2023
Accepted: September 30, 2023
English version:
Proceedings of the Steklov Institute of Mathematics, 2024, Volume 324, Pages 169–177
DOI: https://doi.org/10.1134/S0081543824010164
Bibliographic databases:
Document Type: Article
UDC: 530.145
Language: Russian
Citation: E. A. Pankovets, L. E. Fedichkin, “Metric on the Space of Quantum Processes”, Noncommutative Analysis and Quantum Information Theory, Collected papers. Dedicated to Academician Alexander Semenovich Holevo on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 324, Steklov Math. Inst., Moscow, 2024, 179–187; Proc. Steklov Inst. Math., 324 (2024), 169–177
Citation in format AMSBIB
\Bibitem{PanFed24}
\by E.~A.~Pankovets, L.~E.~Fedichkin
\paper Metric on the Space of Quantum Processes
\inbook Noncommutative Analysis and Quantum Information Theory
\bookinfo Collected papers. Dedicated to Academician Alexander Semenovich Holevo on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2024
\vol 324
\pages 179--187
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4380}
\crossref{https://doi.org/10.4213/tm4380}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4767957}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2024
\vol 324
\pages 169--177
\crossref{https://doi.org/10.1134/S0081543824010164}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85198120982}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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