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

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

2010-06-09

arxiv.org/abs/1006.1694v3

Computer Science

Information Theory

This version completes the characterization and subsumes previous versions

Scientific paper

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 asymmetric quantum maximum distance
separable (AQMDS) codes. Assuming the validity of the MDS Conjecture, pure CSS
AQMDS codes of all possible parameters are accounted for.

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