Stabilizer quantum codes defined by trace-depending polynomials
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Publication:2689347
DOI10.1016/j.ffa.2022.102138OpenAlexW4313243161MaRDI QIDQ2689347
Fernando Hernando, Diego Ruano, Helena Martín-Cruz, Carlos Galindo Pastor
Publication date: 10 March 2023
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.06187
Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50) Quantum coding (general) (81P70)
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Cites Work
- Stabilizer quantum codes from \(J\)-affine variety codes and a new Steane-like enlargement
- Some constructions of quantum MDS codes
- The Magma algebra system. I: The user language
- Fault-tolerant quantum computation with higher-dimensional systems
- Fault-tolerant quantum computation with non-binary systems
- On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes
- On the distance of stabilizer quantum codes from \(J\)-affine variety codes
- New quantum codes from matrix-product codes over small fields
- Constructions of quantum MDS codes
- Construction of new quantum codes via Hermitian dual-containing matrix-product codes
- On the Construction of Nonbinary Quantum BCH Codes
- On the dimension of subfield subcodes
- A Finite Gilbert–Varshamov Bound for Pure Stabilizer Quantum Codes
- Nonbinary Stabilizer Codes Over Finite Fields
- On Quantum and Classical BCH Codes
- Resilient quantum computation: error models and thresholds
- Reliable quantum computers
- Quantum twisted codes
- Error Correcting Codes in Quantum Theory
- Quantum Error Correction and Orthogonal Geometry
- Quantum error detection .II. Bounds
- Quantum error detection .I. Statement of the problem
- Nonbinary quantum stabilizer codes
- Quantum error correction via codes over GF(4)
- Some New Constructions of Quantum MDS Codes
- Classical and Quantum Evaluation Codes at the Trace Roots
- A single quantum cannot be cloned
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