Pure Asymmetric Quantum MDS Codes from CSS Construction: A Complete Characterization

Abstract

Using the Calderbank-Shor-Steane (CSS) construction, pure $q$-ary asymmetric quantum error-correcting codes attaining the quantum Singleton bound are constructed. Such codes are called pure CSS asymmetric quantum maximum distance separable (AQMDS) codes. Assuming the validity of the classical MDS Conjecture, pure CSS AQMDS codes of all possible parameters are accounted for.

Change in authors' list. Accepted for publication in Int. Journal of Quantum Information

References in corpus (2)

• Asymmetric quantum error correcting codes
• The Weights in MDS Codes

Cited by in corpus (5)

• CSS-like Constructions of Asymmetric Quantum Codes
• Asymmetric entanglement-assisted quantum error-correcting codes and BCH codes
• Improved constructions of nested code pairs
• Asymmetric Quantum Concatenated and Tensor Product Codes with Large Z-Distances
• Xing-Ling Codes, Duals of their Subcodes, and Good Asymmetric Quantum Codes