Dynamically generated QECC[1]
Description
Block quantum code whose natural definition is in terms of a many-body scaling limit of a local dynamical process. Such processes, which are often non-deterministic, update the code structure and can include random unitary evolution or non-commuting projective measurements.Cousins
- Quantum LDPC (QLDPC) code— QLDPC codes can arise from a dynamical process [2].
- Cluster-state code— MBQC is done using a measurement-based dynamical process.
- Fusion-based quantum computing (FBQC) code— Building a fusion network is done using a measurement-based dynamical process.
- Clifford-deformed surface code (CDSC)— To create CDSCs, a dynamical process is applied on top of the surface code [3].
Member of code lists
Primary Hierarchy
Parents
Dynamically generated QECC
Children
Dynamical code state initialization, logical gates, and error correction are done by a sequence of different (usually weight-two) stabilizer measurements.
References
- [1]
- P. Hayden and J. Preskill, “Black holes as mirrors: quantum information in random subsystems”, Journal of High Energy Physics 2007, 120 (2007) arXiv:0708.4025 DOI
- [2]
- M. Ippoliti, M. J. Gullans, S. Gopalakrishnan, D. A. Huse, and V. Khemani, “Entanglement Phase Transitions in Measurement-Only Dynamics”, Physical Review X 11, (2021) arXiv:2004.09560 DOI
- [3]
- A. Dua, A. Kubica, L. Jiang, S. T. Flammia, and M. J. Gullans, “Clifford-Deformed Surface Codes”, PRX Quantum 5, (2024) arXiv:2201.07802 DOI
Page edit log
- Michael Gullans (2021-11-30) — most recent
- Victor V. Albert (2021-11-30)
Cite as:
“Dynamically generated QECC”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2021. https://errorcorrectionzoo.org/c/dynamic_gen