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Paper 1
Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto, Diego Ruano
- Year
- 2018
- Journal
- arXiv preprint
- DOI
- arXiv:1812.05312
- arXiv
- 1812.05312
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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Fault-Tolerant Quantum Communication Systems Using Clifford Hierarchy-based CSS Codes
Das MK, Bhardwaj P, Kumar B, Ghorai SK, Lal RK.
- Year
- 2026
- Journal
- Europe PMC
- DOI
- 10.21203/rs.3.rs-8557720/v1
- arXiv
- -
No abstract.
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