Entanglement-assisted quantum codes from arbitrary binary linear codes
From MaRDI portal
Publication:499666
DOI10.1007/s10623-014-9997-6zbMath1330.81067OpenAlexW2048720492MaRDI QIDQ499666
Publication date: 30 September 2015
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-014-9997-6
linear codequantum error-correcting codeentanglement-assisted quantum error-correcting codeparity-check matrix
Linear codes (general theory) (94B05) Combinatorial codes (94B25) Quantum coherence, entanglement, quantum correlations (81P40) Quantum coding (general) (81P70)
Related Items
New constructions of entanglement-assisted quantum codes ⋮ Hermitian LCD codes over \(\mathbb{F}_{q^2}+u \mathbb{F}_{q^2}\) and their applications to maximal entanglement EAQECCs ⋮ New entanglement-assisted quantum codes from \(k\)-Galois dual codes ⋮ On MDS linear complementary dual codes and entanglement-assisted quantum codes ⋮ Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance ⋮ New EAQEC codes from cyclic codes over \(\mathbb{F}_q + u\mathbb{F}_q\) ⋮ Entanglement-assisted quantum MDS codes from cyclic codes ⋮ Two families of entanglement-assisted quantum MDS codes from constacyclic codes ⋮ Some construction of entanglement-assisted quantum MDS codes ⋮ New entanglement-assisted quantum MDS codes with larger minimum distance ⋮ New entanglement-assisted quantum MDS codes with length \(n = \frac{q^2+1}{5}\) ⋮ Constructions of good entanglement-assisted quantum error correcting codes ⋮ Entanglement-assisted quantum MDS codes constructed from negacyclic codes ⋮ Binary optimal linear codes with various hull dimensions and entanglement-assisted QECCs ⋮ Improved constructions for nonbinary quantum BCH codes ⋮ Cyclic codes and some new entanglement-assisted quantum MDS codes ⋮ Constructions of new entanglement-assisted quantum MDS and almost MDS codes ⋮ A new family of EAQMDS codes constructed from constacyclic codes ⋮ Two families of entanglement-assisted quantum MDS codes from cyclic codes ⋮ New entanglement-assisted quantum MDS codes with maximal entanglement ⋮ New entanglement-assisted quantum MDS codes ⋮ Maximal entanglement entanglement-assisted quantum codes constructed from linear codes ⋮ Entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes ⋮ Constructions of symplectic LCD MDS codes ⋮ A construction of MDS quantum convolutional codes ⋮ A modified Gilbert-Varshamov bound for self-dual quasi-twisted codes of index four ⋮ Optimal binary and ternary linear codes with hull dimension one ⋮ Hulls of linear codes revisited with applications ⋮ New entanglement-assisted quantum MDS codes derived from generalized Reed-Solomon codes ⋮ An application of constacyclic codes to entanglement-assisted quantum MDS codes ⋮ Minimal-entanglement entanglement-assisted quantum error correction codes from modified circulant matrices ⋮ New entanglement-assisted quantum MDS codes with length \(n=\frac{q^2+1}{10\mu }\) ⋮ On the constructions of entanglement-assisted quantum MDS codes ⋮ Entanglement-assisted quantum codes from matrix-product codes ⋮ Linear codes with arbitrary dimensional hull and their applications to EAQECCs ⋮ Maximal entanglement-assisted quantum error correction codes from the skew group ring \(\mathbb{F}_4\rtimes_\varphi G\) by a heuristic search scheme ⋮ Entanglement-assisted quantum codes from quaternary codes of dimension five
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Entanglement-assisted operator codeword stabilized quantum codes
- Ternary self-orthogonal codes of dual distance three and ternary quantum codes of distance three
- New optimal subsystem codes
- Linear codes with complementary duals
- Dualities and identities for entanglement-assisted quantum codes
- Duality in Entanglement-Assisted Quantum Error Correction
- Correcting Quantum Errors with Entanglement
- Transitive and self-dual codes attaining the Tsfasman-Vla/spl breve/dut$80-Zink bound
- Nonbinary Stabilizer Codes Over Finite Fields
- Entanglement-Assisted Quantum Error-Correcting Codes
- Fundamentals of Error-Correcting Codes
- Quantum twisted codes
- Some good quantum error-correcting codes from algebraic-geometric codes
- Quantum error correction via codes over GF(4)
- NONBINARY QUANTUM CODES DERIVED FROM GROUP CHARACTER CODES
- High Performance Entanglement-Assisted Quantum LDPC Codes Need Little Entanglement
