Published October 2018 | Version v1
Journal article Metadata-only

On Construction of Anticliques for Noncommutative Operator Graphs

Creators

  • 1. The Steklov Mathematical Institute of RAN (Russian Federation)
  • 2. St. Petersburg State University (Russian Federation)

Description

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.

Additional details

Identifiers

DOI
10.1007/s10958-018-4002-y;

Publishing Information

Journal Title
Journal of Mathematical Sciences
Journal Volume
234
Journal Issue
3
Journal Page Range
p. 269-275
ISSN
1072-3374
CODEN
JMTSEW

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50016989
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COMMUTATION RELATIONS; GRAPH THEORY; MATHEMATICAL SPACE; PAULI SPIN OPERATORS; QUANTUM ENTANGLEMENT
Descriptors DEC
ANGULAR MOMENTUM OPERATORS; MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM OPERATORS; SPACE

Optional Information

Copyright
Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature
Notes
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