New constructions of quantum MDS convolutional codes derived from generalized Reed-Solomon codes
Baokun Ding, Tao Zhang, Gennian Ge
TL;DR
This paper introduces two novel methods for constructing quantum MDS convolutional codes using generalized Reed-Solomon codes, resulting in eighteen new classes with unique parameters, enhancing quantum error correction capabilities.
Contribution
The paper presents new constructions of quantum MDS convolutional codes from generalized Reed-Solomon codes, expanding the known classes of such codes with distinct parameters.
Findings
Eighteen new classes of quantum MDS convolutional codes identified.
Most codes have parameters different from previously known codes.
New constructions improve quantum error correction options.
Abstract
Quantum convolutional codes can be used to protect a sequence of qubits of arbitrary length against decoherence. In this paper, we give two new constructions of quantum MDS convolutional codes derived from generalized Reed-Solomon codes and obtain eighteen new classes of quantum MDS convolutional codes. Most of them are new in the sense that the parameters of the codes are different from all the previously known ones.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Coding theory and cryptography · Quantum-Dot Cellular Automata