Entanglement-assisted operator-algebra QECC (EAOAQECC)[1]
Description
A code family that encompasses ordinary (i.e., subspace) codes, subsystem codes, classical-quantum codes, hybrid codes, and their entanglement-assisted counterparts using a unified operator-algebraic framework.
Parent
Children
- Entanglement-assisted (EA) hybrid QECC — An EAOAQECC that has no gauge structure (e.g., gauge qubits), that has a block structure that corresponds to a classical code, and that utilizes pre-shared entanglement is an EA hybrid QECC.
- Entanglement-assisted (EA) subsystem QECC — An EAOAQECC that has gauge structure (e.g., gauge qubits), that has no block structure that corresponds to a classical code, and that utilizes pre-shared entanglement is an EA subsystem QECC.
- Entanglement-assisted (EA) QECC — An EAOAQECC that has no gauge structure (e.g., gauge qubits), that has no block structure that corresponds to a classical code, and that utilizes pre-shared entanglement is an EA QECC.
Cousins
- Operator-algebra QECC (OAQECC) — EAOAQECCs utilize additional ancillary subsystems in a pre-shared entangled state, but reduce OAQECCs when said subsystems are interpreted as noiseless physical subsystems.
- Subsystem color code — A 15-qubit subsystem color code can be converted into a hybrid code (an EA code) by converting its components to classical bits (ebits) [1].
References
- [1]
- P. J. Nadkarni, S. Adonsou, G. Dauphinais, D. W. Kribs, and M. Vasmer, “Unified and Generalized Approach to Entanglement-Assisted Quantum Error Correction”, (2024) arXiv:2411.14389
Page edit log
- Victor V. Albert (2024-12-10) — most recent
Cite as:
“Entanglement-assisted operator-algebra QECC (EAOAQECC)”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/eaoaecc
Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/eaoaecc.yml.