Two Families of Entanglement-Assisted Quantum Codes from Algebraic Plane Curves

This article studies the Hermitian hulls of linear codes from algebraic plane curves of a special type. We provide lower bounds on the hull dimension of one-point algebraic geometry codes. We derive two families of entanglement-assisted quantum codes from one-point algebraic geometry codes, using the Hermitian approach.

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Published
2025-08-18
DOI
https://doi.org/10.1109/istc65386.2025.11154485
Primary Topic
Quantum Computing Algorithms and Architecture
Type
article
Field-Weighted Citation Impact
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article

Two Families of Entanglement-Assisted Quantum Codes from Algebraic Plane Curves

Lin Sok, San Ling
Quantum Computing Algorithms and Architecture
article

Two Families of Entanglement-Assisted Quantum Codes from Algebraic Plane Curves

Lin Sok, San Ling
article en

Abstract

This article studies the Hermitian hulls of linear codes from algebraic plane curves of a special type. We provide lower bounds on the hull dimension of one-point algebraic geometry codes. We derive two families of entanglement-assisted quantum codes from one-point algebraic geometry codes, using the Hermitian approach.

Nanyang Technological University (SG)
Openalex Percentile: Top 87%
Quantum Computing Algorithms and Architecture
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Two Families of Entanglement-Assisted Quantum Codes from Algebraic Plane Curves — Lin Sok, San Ling · (2025) | TGRS Research Map | TGRS