Alternative names: EA operator QECC.
Description
Subsystem QECC whose encoding and decoding utilizes pre-shared entanglement between sender and receiver.Cousins
- Subsystem QECC— EA subsystem QECCs utilize additional ancillary subsystems in a pre-shared entangled state, but reduce to subsystem QECCs when said subsystems are interpreted as noiseless physical subsystems.
- Entanglement-assisted (EA) QECC— An EA subsystem QECC reduces to an EA QECC when the gauge subsystem is trivial. Conversely, any EA QECC with a tensor-product logical subspace can be turned into an EA subsystem QECC by treating a logical tensor factor as a gauge subsystem.
Member of code lists
Primary Hierarchy
Parents
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) subsystem QECC
References
- [1]
- M.-H. Hsieh, I. Devetak, and T. Brun, “General entanglement-assisted quantum error-correcting codes”, Physical Review A 76, (2007) arXiv:0708.2142 DOI
- [2]
- T. A. Brun, I. Devetak, and M.-H. Hsieh, “General entanglement-assisted quantum error-correcting codes”, 2007 IEEE International Symposium on Information Theory 2101 (2007) DOI
Page edit log
- Victor V. Albert (2022-05-12) — most recent
Cite as:
“Entanglement-assisted (EA) subsystem QECC”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/eaoecc
Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/eaoecc.yml.