Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Upper bounds on fault tolerance thresholds of noisy Clifford-based quantum computers

Plenio, M B and Virmani, S. (2010) Upper bounds on fault tolerance thresholds of noisy Clifford-based quantum computers. New Journal of Physics, 12. ISSN 1367-2630

[img]
Preview
PDF (strathprints016839.pdf)
strathprints016839.pdf

Download (617kB) | Preview

Abstract

We consider the possibility of adding noise to a quantum circuit to make it efficiently simulatable classically. In previous works, this approach has been used to derive upper bounds to fault tolerance thresholds-usually by identifying a privileged resource, such as an entangling gate or a non-Clifford operation, and then deriving the noise levels required to make it 'unprivileged'. In this work, we consider extensions of this approach where noise is added to Clifford gates too and then 'commuted' around until it concentrates on attacking the non-Clifford resource. While commuting noise around is not always straightforward, we find that easy instances can be identified in popular fault tolerance proposals, thereby enabling sharper upper bounds to be derived in these cases. For instance we find that if we take Knill's (2005 Nature 434 39) fault tolerance proposal together with the ability to prepare any possible state in the XY plane of the Bloch sphere, then not more than 3.69% error-per-gate noise is sufficient to make it classical, and 13.71% of Knill's noise model is sufficient. These bounds have been derived without noise being added to the decoding parts of the circuits. Introducing such noise in a toy example suggests that the present approach can be optimized further to yield tighter bounds.

Item type: Article
ID code: 16839
Keywords: computational physics, quantum information, quantum mechanics, optics, Optics. Light, Physics and Astronomy(all)
Subjects: Science > Physics > Optics. Light
Department: Faculty of Science > Physics
Depositing user: Mr Timothy Briggs
Date Deposited: 18 Mar 2010 10:43
Last modified: 24 Jul 2015 09:42
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/16839

Actions (login required)

View Item View Item