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Quantum error correction in a time-dependent transverse field Ising model
- Source :
- Phys. Rev. A 106, 022432 (2022)
- Publication Year :
- 2022
-
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.<br />Comment: 15 pages, 7 figures
- Subjects :
- Quantum Physics
Condensed Matter - Strongly Correlated Electrons
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. A 106, 022432 (2022)
- Publication Type :
- Report
- Accession number :
- edsarx.2205.12998
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevA.106.022432