The invariants of the local Clifford group

Details The invariants of the local Clifford group The invariants of the local Clifford group

2004-10-05

arxiv.org/abs/quant-ph/0410035v1

Phys. Rev. A 71, 022310 (2005)

Physics

Quantum Physics

10 pages

Scientific paper

10.1103/PhysRevA.71.022310

We study the algebra of complex polynomials which remain invariant under the action of the local Clifford group under conjugation. Within this algebra, we consider the linear spaces of homogeneous polynomials degree by degree and construct bases for these vector spaces for each degree, thereby obtaining a generating set of polynomial invariants. Our approach is based on the description of Clifford operators in terms of linear operations over GF(2). Such a study of polynomial invariants of the local Clifford group is mainly of importance in quantum coding theory, in particular in the classification of binary quantum codes. Some applications in entanglement theory and quantum computing are briefly discussed as well.

Affiliated with

Also associated with

No associations

Rating

The invariants of the local Clifford group 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 The invariants of the local Clifford group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The invariants of the local Clifford group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-103055