Theory behind quantum error correcting codes: an overview
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Publication:6149610
DOI10.1007/s41745-023-00392-7OpenAlexW4384829060MaRDI QIDQ6149610
Priya J. Nadkarni, Ankur Raina, Shayan Srinivasa Garani
Publication date: 5 March 2024
Published in: Journal of the Indian Institute of Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41745-023-00392-7
stabilizer codesnon-binary quantum codesentanglement-assisted codesgeneralized CSS constructionsquantum error correcting circuits
Cites Work
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- A Mathematical Theory of Communication
- Asymmetric quantum Reed-Solomon and generalized Reed-Solomon codes
- Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
- Anyons in an exactly solved model and beyond
- Finding a minimal set of linear recurring relations capable of generating a given finite two-dimensional array
- Teleportation as a quantum computation.
- Constructions of good entanglement-assisted quantum error correcting codes
- Fault-tolerant quantum computation by anyons
- Quantum privacy and quantum wiretap channels
- Recovery of quantum information from a node failure in a graph
- Non-binary entanglement-assisted stabilizer codes
- Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2
- Entanglement-assisted Reed-Solomon codes over qudits: theory and architecture
- Key ideas in quantum error correction
- Binary Linear Locally Repairable Codes
- Graded Bit-Error-Correcting Codes With Applications to Flash Memory
- Correcting Quantum Errors with Entanglement
- Quantum Communication with Zero-Capacity Channels
- Universal quantum computation with ideal Clifford gates and noisy ancillas
- Multiple-particle interference and quantum error correction
- Quantum Max-flow/Min-cut
- Qudit surface codes and gauge theory with finite cyclic groups
- Algebraic Codes on Lines, Planes, and Curves
- Modern Coding Theory
- The Private Classical Capacity and Quantum Capacity of a Quantum Channel
- Nonbinary Stabilizer Codes Over Finite Fields
- Quantum Network Coding
- Entanglement-Assisted Capacity of Quantum Multiple-Access Channels
- Quantum coding theorems
- Interleaving schemes for multidimensional cluster errors
- Quantum cryptography based on Bell’s theorem
- Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
- Error Correcting Codes in Quantum Theory
- Network information flow
- Efficient encoding of low-density parity-check codes
- Nonbinary quantum stabilizer codes
- Linear Programming Bounds for Entanglement-Assisted Quantum Error-Correcting Codes by Split Weight Enumerators
- Error Detecting and Error Correcting Codes
- Topological quantum memory
- Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels
- Quantum LDPC Codes With Almost Linear Minimum Distance
- Topological quantum order: Stability under local perturbations
- Quantum Broadcast Channels
- Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
- Quantum Network Communication—The Butterfly and Beyond
- Geometry of Quantum States
- On codes derivable from the tensor product of check matrices
- A single quantum cannot be cloned
- Mixed-state entanglement and quantum error correction
- Coherent and Incoherent States of the Radiation Field
- On subsystem codes beating the quantum Hamming or Singleton bound
- DENSE CODING WITH MULTIPARTITE QUANTUM STATES
- EFFICIENT QUANTUM CIRCUITS FOR NON-QUBIT QUANTUM ERROR-CORRECTING CODES
- Quantum Information Theory
