Abstract Error Groups Via Jones Unitary Braid Group Representations at q=i

Details Abstract Error Groups Via Jones Unitary Braid Group Representations at q=i Abstract Error Groups Via Jones Unitary Braid Group Representations at q=i

2009-02-02

arxiv.org/abs/0902.0383v1

Quant. Inform. Proc.: Vol. 8, Issue 1 (2009) 25-36

Physics

Quantum Physics

12 pages

Scientific paper

In this paper, we classify a type of abstract groups by the central products of dihedral groups and quaternion groups. We recognize them as abstract error groups which are often not isomorphic to the Pauli groups in the literature. We show the corresponding nice error bases equivalent to the Pauli error bases modulo phase factors. The extension of these abstract groups by the symmetric group are finite images of the Jones unitary representations (or modulo a phase factor) of the braid group at q=i or r=4. We hope this work can finally lead to new families of quantum error correction codes via the representation theory of the braid group.

Affiliated with

Also associated with

No associations

Rating

Abstract Error Groups Via Jones Unitary Braid Group Representations at q=i 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 Abstract Error Groups Via Jones Unitary Braid Group Representations at q=i, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Abstract Error Groups Via Jones Unitary Braid Group Representations at q=i will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-296191