Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State

Details Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State

2005-11-17

arxiv.org/abs/quant-ph/0511178v1

Phys. Rev. A 73, 042313 (2006)

Physics

Quantum Physics

17 pages, 12 eps figures

Scientific paper

10.1103/PhysRevA.73.042313

We consider topological quantum computation (TQC) with a particular class of anyons that are believed to exist in the Fractional Quantum Hall Effect state at Landau level filling fraction nu=5/2. Since the braid group representation describing statistics of these anyons is not computationally universal, one cannot directly apply the standard TQC technique. We propose to use very noisy non-topological operations such as direct short-range interaction between anyons to simulate a universal set of gates. Assuming that all TQC operations are implemented perfectly, we prove that the threshold error rate for non-topological operations is above 14%. The total number of non-topological computational elements that one needs to simulate a quantum circuit with $L$ gates scales as $L(\log L)^3$.

Affiliated with

Also associated with

No associations

Rating

Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State 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 Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-711016