Self-correcting quantum computers
Name
Bombin-2013-Self-correcting quan.pdf
Size
641.77 KB
Format
Adobe PDF
Checksum (MD5)
30d21cb9eeb99d84ca0e1b8ae0eb3a13
Author(s)
Chhajlany, R W
Horodecki, M
Martin-Delgado, M. A.
Bombin, Hector
Date Issued
May 2013
Journal
New Journal of Physics
Publisher
IOP Publishing
Citation
Bombin, H, R W Chhajlany, M Horodecki, and M A Martin-Delgado. “Self-correcting quantum computers.” New Journal of Physics 15, no. 5 (May 1, 2013): 055023. © 2013 IOP Publishing
Version
Final published version
Abstract
Is the notion of a quantum computer (QC) resilient to thermal noise unphysical? We address this question from a constructive perspective and show that local quantum Hamiltonian models provide self-correcting QCs. To this end, we first give a sufficient condition on the connectedness of excitations for a stabilizer code model to be a self-correcting quantum memory. We then study the two main examples of topological stabilizer codes in arbitrary dimensions and establish their self-correcting capabilities. Also, we address the transversality properties of topological color codes, showing that six-dimensional color codes provide a self-correcting model that allows the transversal and local implementation of a universal set of operations in seven spatial dimensions. Finally, we give a procedure for initializing such quantum memories at finite temperature.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1088/1367-2630/15/5/055023
