Nonperturbative Gadget for Topological Quantum Codes
Name
Ocko-2011-Nonperturbative Gadget for Topological Quantum Codes.pdf
Size
376.74 KB
Format
Adobe PDF
Checksum (MD5)
288d26f1e39cd1314eed0fac842d816f
Author(s)
Yoshida, Beni
Ocko, Samuel Alan
Date Issued
December 2011
Journal
Physical Review Letters
Publisher
American Physical Society (APS)
Citation
Ocko, Samuel, and Beni Yoshida. “Nonperturbative Gadget for Topological Quantum Codes.” Physical Review Letters 107.25 (2011): n. pag. Web. 2 Mar. 2012. © 2011 American Physical Society
Version
Final published version
Abstract
Many-body entangled systems, in particular topologically ordered spin systems proposed as resources for quantum information processing tasks, often involve highly nonlocal interaction terms. While one may approximate such systems through two-body interactions perturbatively, these approaches have a number of drawbacks in practice. In this Letter, we propose a scheme to simulate many-body spin Hamiltonians with two-body Hamiltonians nonperturbatively. Unlike previous approaches, our Hamiltonians are not only exactly solvable with exact ground state degeneracy, but also support completely localized quasiparticle excitations, which are ideal for quantum information processing tasks. Our construction is limited to simulating the toric code and quantum double models, but generalizations to other nonlocal spin Hamiltonians may be possible.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.107.250502
