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Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
December 13, 2018 Β· Declared Dead Β· π Quantum Information Processing
"No code URL or promise found in abstract"
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Authors
Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto, Diego Ruano
arXiv ID
1812.05312
Category
cs.IT: Information Theory
Cross-listed
quant-ph
Citations
129
Venue
Quantum Information Processing
Last Checked
4 months ago
Abstract
We prove that the known formulae for computing the optimal number of maximally entangled pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over the binary field hold for codes over arbitrary finite fields as well. We also give a Gilbert-Varshamov bound for EAQECCs and constructions of EAQECCs coming from punctured self-orthogonal linear codes which are valid for any finite field.
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