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Quantum Error Correction Fault Tolerance

Elementary constructive approach to the higher-rank numerical ranges of unitary matrices

arXiv
Authors: A. Ya. Kazakov

Year

2007

Paper ID

49790

Status

Preprint

Abstract Read

~2 min

Abstract Words

42

Citations

N/A

Abstract

Some problems of the quantum error-correcting codes theory can be reduced to the investigation of the higher-rank numerical ranges of the operators related to the error operators. We constructively verify a conjecture on the structure of higher-rank numerical range for unitary matrices.

Why This Paper Matters

  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • Some problems of the quantum error-correcting codes theory can be reduced to the investigation of the higher-rank numerical ranges of the operators related to the error operators.

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