Maximal entanglement-assisted quantum error correction codes from the skew group ring \(\mathbb{F}_4\rtimes_\varphi G\) by a heuristic search scheme
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Publication:2107124
DOI10.1007/s11128-022-03500-1OpenAlexW4224027442MaRDI QIDQ2107124
Adrian Korban, Deniz Ustun, Serap Sahinkaya
Publication date: 29 November 2022
Published in: Quantum Information Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11128-022-03500-1
Quantum coding (general) (81P70) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)
Related Items (5)
New type I binary \([72, 36, 12\) self-dual codes from composite matrices and \(R_1\) lifts] ⋮ Entanglement-assisted binary quantum codes from skew cyclic codes over \(\mathbb{F}_2\times(\mathbb{F}_2+v\mathbb{F}_2)\) ⋮ New binary quantum codes from group rings and skew group rings ⋮ Maximal entanglement EAQECCs from cyclic and constacyclic codes over \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_{s-1}\mathbb{F}_q\) ⋮ Maximal entanglement-assisted quantum error correction codes from the skew group ring \(\mathbb{F}_4\rtimes_\varphi G\) by a heuristic search scheme
Uses Software
Cites Work
- Unnamed Item
- Entanglement-assisted quantum codes from arbitrary binary linear codes
- From skew-cyclic codes to asymmetric quantum codes
- Any quantum network is structurally controllable by a single driving signal
- The Magma algebra system. I: The user language
- New entanglement-assisted quantum codes from \(k\)-Galois dual codes
- On MDS linear complementary dual codes and entanglement-assisted quantum codes
- Group rings, \(G\)-codes and constructions of self-dual and formally self-dual codes
- Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance
- Constructions of good entanglement-assisted quantum error correcting codes
- Quantum identity authentication scheme of vehicular ad-hoc networks
- Some new linear codes from skew cyclic codes and computer algebra challenges
- Maximal entanglement entanglement-assisted quantum codes constructed from linear codes
- Extended quasi-cyclic constructions of quantum codes and entanglement-assisted quantum codes
- Maximal entanglement-assisted quantum error correction codes from the skew group ring \(\mathbb{F}_4\rtimes_\varphi G\) by a heuristic search scheme
- Quantum codes from \((1-2u_1-2u_2-\cdots-2u_m)\)-skew constacyclic codes over the ring \(F_q+u_1F_q+\cdots+u_{2m}F_q\)
- A class of skew cyclic codes and application in quantum codes construction
- New singly and doubly even binary \([72,36,12\) self-dual codes from \(M_2(R)G\)-group matrix rings]
- Quantum codes and entanglement-assisted quantum codes derived from one-generator quasi-twisted codes
- Quantum codes from skew constacyclic codes over the ring \(\mathbb{F}_q [u, v \slash \langle u^2 - 1, v^2 - 1, u v - v u \rangle \)]
- Subcarrier multiplexing multiple-input multiple-output quantum key distribution scheme with orthogonal quantum states
- Dualities and identities for entanglement-assisted quantum codes
- New EAQEC codes from cyclic codes over \(\mathbb{F}_q + u\mathbb{F}_q\)
- \(\mathbb{F}_qR\)-linear skew constacyclic codes and their application of constructing quantum codes
- Optimal quantum codes from additive skew cyclic codes
- Duality in Entanglement-Assisted Quantum Error Correction
- Correcting Quantum Errors with Entanglement
- Linear Programming Bounds for Entanglement-Assisted Quantum Error-Correcting Codes by Split Weight Enumerators
- Quantum error correction via codes over GF(4)
- Multi-objective Optimization of Engineering Design Problems Through Pareto-Based Bat Algorithm
- Efficient arbitrated quantum signature scheme without entangled states
- Entanglement-Assisted Quantum Turbo Codes
- Skew G-codes
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