The Topological Properties of Fault-Tolerant Circuits

Details The Topological Properties of Fault-Tolerant Circuits The Topological Properties of Fault-Tolerant Circuits

2007-02-09

arxiv.org/abs/quant-ph/0702092v3

Physics

Quantum Physics

4 pages, 2 figures v3: thoroughly revised, new techniques and altered conclusions

Scientific paper

The design of time-independent local Hamiltonians that realise quantum algorithms is derived from the study of perfect state transfer. The novel features of this evolution are the perfect realisation of the computation, and the ability to implement operations in parallel rather than sequentially. This is applied to a quantum circuit for concatenated error correcting codes, and the properties of the eigenstates are compared to those of topological memories. An erroneous implementation of the algorithm (one where a single error could lead to a fault in the output) is found not to be topological, whereas a true fault-tolerant algorithm possesses self-correcting properties, suggesting the existence of a unifying structure for fault-tolerant memories.

Affiliated with

Also associated with

No associations

Rating

The Topological Properties of Fault-Tolerant Circuits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Topological Properties of Fault-Tolerant Circuits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Topological Properties of Fault-Tolerant Circuits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-8679