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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
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.
Received: July 28, 2020 Revised: July 28, 2020 Accepted: December 1, 2020
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
Linking options:
https://www.mathnet.ru/eng/tm4168https://doi.org/10.4213/tm4168 https://www.mathnet.ru/eng/tm/v313/p14
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Abstract page: | 308 | Full-text PDF : | 79 | References: | 28 | First page: | 15 |
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