Entanglement-assisted quantum MDS codes constructed from constacyclic codes
Xiaojing Chen, Shixin Zhu, Xiaoshan Kai
TL;DR
This paper introduces new entanglement-assisted quantum MDS codes derived from constacyclic codes, expanding the types of quantum codes with optimal parameters and maximal entanglement.
Contribution
It constructs three classes of new EAQECCs from constacyclic codes that meet the quantum Singleton bound, including those with maximal entanglement.
Findings
Constructed three classes of EAQECCs from constacyclic codes.
Achieved codes that satisfy the entanglement-assisted quantum Singleton bound.
Developed EAQECCs with maximal entanglement from constacyclic codes.
Abstract
Recently, entanglement-assisted quantum error correcting codes (EAQECCs) have been constructed by cyclic codes and negacyclic codes. In this paper, by analyzing the cyclotomic cosets in the defining set of constacyclic codes, we constructed three classes of new EAQECCs which satisfy the entanglement-assisted quantum Singleton bound. Besides, three classes of EAQECCs with maximal entanglement from constacyclic codes are constructed in the meanwhile.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum-Dot Cellular Automata · Quantum Information and Cryptography