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On the Counting of Quantum Errors

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Abstract

In the theory of quantum error correction, there are two very important types of subspaces, one is the non-commutative operator graph correspondent to the error and one is generated by the Kraus operators of the error. Dimensions of those subspaces could be considered as characteristics measuring the quality of the error-correcting scheme. In the present paper, we are discussing the relationship between these quantities.

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Funding

This work is supported by Russian Science Foundation under the grant no. 19-11-00086.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, 119991, Moscow, Russia

    A. S. Mokeev

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  1. A. S. Mokeev
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Correspondence to A. S. Mokeev.

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(Submitted by G. G. Amosov)

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Mokeev, A.S. On the Counting of Quantum Errors. Lobachevskii J Math 43, 1720–1725 (2022). https://doi.org/10.1134/S1995080222100298

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