Dynamically-generated quantum error-correcting code

Dynamically-generated quantum error-correcting code[1]

Description

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.

Parent

Quantum error-correcting code (QECC)

Children

Cousins

Clifford-deformed surface code (CDSC) — To create CDSCs, a dynamical process is applied on top of the surface code.
Quantum low-density parity-check (QLDPC) code — QLDPC codes can arise from a dynamical process [2].

References

[1]: P. Hayden and J. Preskill, “Black holes as mirrors: quantum information in random subsystems”, Journal of High Energy Physics 2007, 120 (2007). DOI; 0708.4025
[2]: M. Ippoliti et al., “Entanglement Phase Transitions in Measurement-Only Dynamics”, Physical Review X 11, (2021). DOI; 2004.09560

Page edit log

Michael Gullans (2021-11-30) — most recent
Victor V. Albert (2021-11-30)

Cite as:

“Dynamically-generated quantum error-correcting code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/dynamic_gen

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/properties/dynamic_gen.yml.