Standard Form of Qudit Stabilizer Groups

Details Standard Form of Qudit Stabilizer Groups Standard Form of Qudit Stabilizer Groups

2011-01-07

arxiv.org/abs/1101.1519v1

Physics

Quantum Physics

RevTeX 4.1, 6 pages, 3 tables. Any comments are welcome!

Scientific paper

We investigate stabilizer codes with carrier qudits of equal dimension $D$, an arbitrary integer greater than 1. We prove that there is a direct relation between the dimension of a qudit stabilizer code and the size of its corresponding stabilizer, and this implies that the code and its stabilizer are dual to each other. We also show that any qudit stabilizer can be put in a standard, or canonical, form using a series of Clifford gates, and we provide an explicit efficient algorithm for doing this. Our work generalizes known results that were valid only for prime dimensional systems and may be useful in constructing efficient encoding/decoding quantum circuits for qudit stabilizer codes and better qudit quantum error correcting codes.

Affiliated with

Also associated with

No associations

Rating

Standard Form of Qudit Stabilizer Groups 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 Standard Form of Qudit Stabilizer Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Standard Form of Qudit Stabilizer Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-7934