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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 313, Pages 14–22
DOI: https://doi.org/10.4213/tm4168 (Mi tm4168) 		 
On Noncommutative Operator Graphs Generated by Resolutions of Identity

G. G. Amosov, A. S. Mokeev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.4213/tm4168
Abstract: Noncommutative operator graphs play an important role in the theory of quantum error correction. In this paper, we briefly review recent results devoted to the graphs generated by resolutions of identity for which there exists a quantum error-correcting code. We discuss examples of such graphs and touch upon the problem of describing quantum noise within this theory.
Funding agency Grant number
Russian Science Foundation 19-11-00086
This work was supported by the Russian Science Foundation under grant 19-11-00086.
Received: July 28, 2020
Revised: July 28, 2020
Accepted: December 1, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 313, Pages 8–16
DOI: https://doi.org/10.1134/S0081543821020024
Bibliographic databases:
Document Type: Article
UDC: 517.98+519.72
Language: Russian
Citation: G. G. Amosov, A. S. Mokeev, “On Noncommutative Operator Graphs Generated by Resolutions of Identity”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 14–22; Proc. Steklov Inst. Math., 313 (2021), 8–16
Citation in format AMSBIB
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\inbook Mathematics of Quantum Technologies
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 313
\pages 14--22
\publ Steklov Math. Inst.
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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