Quantum error correction in a time-dependent transverse-field Ising model

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