Email this article On Construction of Anticliques for Noncommutative Operator Graphs
- Authors: Amosov G.G.1, Mokeev A.S.2
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Affiliations:
- The Steklov Mathematical Institute of RAN
- St. Petersburg State University
- Issue: Vol 234, No 3 (2018)
- Pages: 269-275
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241851
- DOI: https://doi.org/10.1007/s10958-018-4002-y
- ID: 241851
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Abstract
In this paper, we construct anticliques for noncommutative operator graphs generated by generalized Pauli matrices. It is shown that application of entangled states for the construction of the code space K allows one to substantially increase the dimension of a noncommutative operator graph for which the projection on K is an anticlique.
About the authors
G. G. Amosov
The Steklov Mathematical Institute of RAN
Author for correspondence.
Email: gramos@mi.ras.ru
Russian Federation, Moscow
A. S. Mokeev
St. Petersburg State University
Email: gramos@mi.ras.ru
Russian Federation, St. Petersburg
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