@article{12778, keywords = {Quantum Physics (quant-ph), Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences, FOS: Physical sciences}, author = {Yifan Hong and Jeremy Young and Adam Kaufman and Andrew Lucas}, title = {Quantum error correction in a time-dependent transverse field Ising model}, abstract = {

We describe a simple quantum error correcting code built out of a time-dependent transverse-field Ising model. The code is similar to a repetition code, but has two advantages: an N-qubit code can be implemented with a finite-depth spatially local unitary circuit, and it can subsequently protect against both X and Z errors if N≥10 is even. We propose an implementation of this code with ten ultracold Rydberg atoms in optical tweezers, along with further generalizations of the code.

}, year = {2022}, journal = {Physical Review A}, volume = {106}, pages = {022432}, month = {2022-08}, publisher = {arXiv}, url = {https://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.022432}, doi = {10.1103/PhysRevA.106.022432}, }