Dualities and identities for entanglement-assisted quantum codes
From MaRDI portal
Publication:2454247
DOI10.1007/s11128-013-0704-8zbMath1291.81115arXiv1010.5506OpenAlexW3102640842MaRDI QIDQ2454247
Mark M. Wilde, Ching-Yi Lai, Todd A. Brun
Publication date: 13 June 2014
Published in: Quantum Information Processing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.5506
MacWilliams identitylinear programming boundentanglement-assisted quantum error correctionentanglement-assisted accumulator codesentanglement-assisted repetition codeshashing boundquantum dual code
Related Items
On entanglement-assisted quantum codes achieving the entanglement-assisted Griesmer bound ⋮ Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance ⋮ Two families of entanglement-assisted quantum MDS codes from constacyclic codes ⋮ Constructions of symplectic LCD MDS codes from quasi-cyclic codes ⋮ On the hulls of cyclic codes of oddly even length over \(\mathbb{Z}_4\) ⋮ Weight enumerators for nonbinary asymmetric quantum codes and their applications ⋮ Entanglement-assisted quantum error-correcting codes over arbitrary finite fields ⋮ Entanglement-assisted quantum codes from arbitrary binary linear codes ⋮ Two families of entanglement-assisted quantum MDS codes from cyclic codes ⋮ Entanglement-assisted quantum MDS codes from negacyclic codes ⋮ Maximal entanglement entanglement-assisted quantum codes constructed from linear codes ⋮ Entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes ⋮ Maximal entanglement entanglement-assisted quantum codes of distance three ⋮ On the constructions of entanglement-assisted quantum MDS codes ⋮ Maximal entanglement-assisted quantum error correction codes from the skew group ring \(\mathbb{F}_4\rtimes_\varphi G\) by a heuristic search scheme ⋮ Construction of new entanglement-assisted quantum MDS codes via cyclic codes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Duality in Entanglement-Assisted Quantum Error Correction
- Correcting Quantum Errors with Entanglement
- Multiple-particle interference and quantum error correction
- Modern Coding Theory
- The Private Classical Capacity and Quantum Capacity of a Quantum Channel
- A Resource Framework for Quantum Shannon Theory
- Error Correcting Codes in Quantum Theory
- Quantum Error Correction and Orthogonal Geometry
- Monotonicity of the quantum linear programming bound
- The Theory of Information and Coding
- Quantum data hiding
- Quantum error correction via codes over GF(4)
- Quantum weight enumerators
- Upper bounds on the size of quantum codes
- Inequalities for the Novikov-Shubin invariants
- Quantum Serial Turbo Codes
- High Performance Entanglement-Assisted Quantum LDPC Codes Need Little Entanglement
- Mixed-state entanglement and quantum error correction
This page was built for publication: Dualities and identities for entanglement-assisted quantum codes