Scheme for fault-tolerant holonomic computation on stabilizer codes

Details Scheme for fault-tolerant holonomic computation on stabilizer codes Scheme for fault-tolerant holonomic computation on stabilizer codes

2009-04-14

arxiv.org/abs/0904.2143v2

Phys. Rev. A 80, 022325 (2009)

Physics

Quantum Physics

22 pages

Scientific paper

10.1103/PhysRevA.80.022325

This paper generalizes and expands upon the work [Phys. Rev. Lett. 102, 070502 (2009)] where we introduced a scheme for fault-tolerant holonomic quantum computation (HQC) on stabilizer codes. HQC is an all-geometric strategy based on non-Abelian adiabatic holonomies, which is known to be robust against various types of errors in the control parameters. The scheme we present shows that HQC is a scalable method of computation, and opens the possibility for combining the benefits of error correction with the inherent resilience of the holonomic approach. We show that with the Bacon-Shor code the scheme can be implemented using Hamiltonian operators of weight 2 and 3.

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