The Clifford group, stabilizer states, and linear and quadratic operations over GF(2)

Details The Clifford group, stabilizer states, and linear and quadratic operations over GF(2) The Clifford group, stabilizer states, and linear and quadratic operations over GF(2)

2003-04-18

arxiv.org/abs/quant-ph/0304125v1

Phys. Rev. A 68, 042318 (2003)

Physics

Quantum Physics

9 pages

Scientific paper

10.1103/PhysRevA.68.042318

We describe stabilizer states and Clifford group operations using linear operations and quadratic forms over binary vector spaces. We show how the n-qubit Clifford group is isomorphic to a group with an operation that is defined in terms of a (2n+1)x(2n+1) binary matrix product and binary quadratic forms. As an application we give two schemes to efficiently decompose Clifford group operations into one and two-qubit operations. We also show how the coefficients of stabilizer states and Clifford group operations in a standard basis expansion can be described by binary quadratic forms. Our results are useful for quantum error correction, entanglement distillation and possibly quantum computing.

Affiliated with

Also associated with

No associations

Rating

The Clifford group, stabilizer states, and linear and quadratic operations over GF(2) 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 Clifford group, stabilizer states, and linear and quadratic operations over GF(2), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Clifford group, stabilizer states, and linear and quadratic operations over GF(2) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-596460