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Quantum Error Correction Fault Tolerance Quantum Simulation Entanglement Theory Quantum Correlations

Stabilizer Formalism for EAQECCs with Noise ebits

arXiv
Authors: Ruihu Li, Guanmin Guo, Yang Liu, Hao Song

Year

2026

Paper ID

35974

Status

Preprint

Abstract Read

~2 min

Abstract Words

82

Citations

N/A

Abstract

We introduce a stabilizer formalism for EAQECCs with noise ebits, using special subgroups of product groups of two Pauli groups. This formalism includes the two coding schemes,given by Lai and Brun (C.Y. Lai and T. A. Brun, PHYSICAL REVIEW A 86, 032319 (2012)), for EAQECCs with imperfect ebits as special cases. Then two equivalent formalisms of the formalism are derived in nomenclature of sympletic geometry and additive codes. We apply this theory to construct some EAQECCs with noise ebits, and analyze their performance.

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