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.

BT - Physical Review A DA - 2022-08 DO - 10.1103/PhysRevA.106.022432 N2 -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.

PB - arXiv PY - 2022 EP - 022432 T2 - Physical Review A TI - Quantum error correction in a time-dependent transverse field Ising model UR - https://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.022432 VL - 106 ER -