Experimental approximation of the Jones polynomial with DQC1

Details Experimental approximation of the Jones polynomial with DQC1 Experimental approximation of the Jones polynomial with DQC1

2009-09-08

arxiv.org/abs/0909.1550v2

PRL 103, 250501 (2009)

Physics

Quantum Physics

5 figures. Version 2 changes: published version, minor errors corrected, slight changes to improve readability

Scientific paper

10.1103/PhysRevLett.103.250501

We present experimental results approximating the Jones polynomial using 4 qubits in a liquid state nuclear magnetic resonance quantum information processor. This is the first experimental implementation of a complete problem for the deterministic quantum computation with one quantum bit model of quantum computation, which uses a single qubit accompanied by a register of completely random states. The Jones polynomial is a knot invariant that is important not only to knot theory, but also to statistical mechanics and quantum field theory. The implemented algorithm is a modification of the algorithm developed by Shor and Jordan suitable for implementation in NMR. These experimental results show that for the restricted case of knots whose braid representations have four strands and exactly three crossings, identifying distinct knots is possible 91% of the time.

Affiliated with

Also associated with

No associations

Rating

Experimental approximation of the Jones polynomial with DQC1 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 Experimental approximation of the Jones polynomial with DQC1, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Experimental approximation of the Jones polynomial with DQC1 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-108899