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arXiv · 2205.12998

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

Yifan Hong·Jeremy T. Young·Adam M. Kaufman·Andrew Lucas
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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 $N\ge 10$ is even. We propose an implementation of this code with 10 ultracold Rydberg atoms in optical tweezers, along with further generalizations of the code.

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Yifan Hong, Jeremy T. Young, Adam M. Kaufman, Andrew Lucas. 2022-05-25. Quantum error correction in a time-dependent transverse field Ising model. https://doi.org/10.1103/physreva.106.022432

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