Braiding Operators are Universal Quantum Gates

Details Braiding Operators are Universal Quantum Gates Braiding Operators are Universal Quantum Gates

2004-01-15

arxiv.org/abs/quant-ph/0401090v4

Physics

Quantum Physics

63 pages, LaTeX document, 23 figures

Scientific paper

10.1088/1367-2630/6/1/134

This paper explores of the role of unitary braiding operators in quantum computing. We show that a single specific solution R (the Bell basis change matrix) of the Yang-Baxter Equation is a universal gate for quantum computing, in the presence of local unitary transformations. We show that this same R generates a new non-trivial invariant of braids, knots, and links. Other solutions of the Yang-Baxter Equation are also shown to be universal for quantum computation. The paper discusses these results in the context of comparing quantum and topological points of view. In particular, we discuss quantum computation of link invariants, the relationship between quantum entanglement and topological entanglement, teleportation, and the structure of braiding in a topological quantum field theory.

Affiliated with

Also associated with

No associations

Rating

Braiding Operators are Universal Quantum Gates 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 Braiding Operators are Universal Quantum Gates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Braiding Operators are Universal Quantum Gates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-300306