Quantum Codes from Linear Codes over Finite Chain Rings
April 21, 2017 Β· Declared Dead Β· π Quantum Information Processing
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Authors
Xiusheng Liu, Hualu Liu
arXiv ID
1704.06375
Category
cs.IT: Information Theory
Citations
39
Venue
Quantum Information Processing
Last Checked
6 months ago
Abstract
In this paper, we provide two methods of constructing quantum codes from linear codes over finite chain rings. The first one is derived from the Calderbank-Shor-Steane (CSS) construction applied to self-dual codes over finite chain rings. The second construction is derived from the CSS construction applied to Gray images of the linear codes over finite chain ring $\mathbb{F}_{p^{2m}}+u\mathbb{F}_{p^{2m}}$. The good parameters of quantum codes from cyclic codes over finite chain rings are obtained.
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