A Family of Quantum Stabilizer Codes Based on the Weyl Commutation Relations over a Finite Field

Details A Family of Quantum Stabilizer Codes Based on the Weyl Commutation Relations over a Finite Field A Family of Quantum Stabilizer Codes Based on the Weyl Commutation Relations over a Finite Field

2002-06-25

arxiv.org/abs/quant-ph/0206174v1

Physics

Quantum Physics

16 pages, 2 figures

Scientific paper

Using the Weyl commutation relations over a finite field we introduce a family of error-correcting quantum stabilizer codes based on a class of symmetric matrices over the finite field satisfying certain natural conditions. When the field is GF(2) the existence of a rich class of such symmetric matrices is demonstrated by a simple probabilistic argument depending on the Chernoff bound for i.i.d symmetric Bernoulli trials. If, in addition, these symmetric matrices are assumed to be circulant it is possible to obtain concrete examples by a computer program. The quantum codes thus obtained admit elegant encoding circuits.

Affiliated with

Also associated with

No associations

Rating

A Family of Quantum Stabilizer Codes Based on the Weyl Commutation Relations over a Finite Field 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 A Family of Quantum Stabilizer Codes Based on the Weyl Commutation Relations over a Finite Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Family of Quantum Stabilizer Codes Based on the Weyl Commutation Relations over a Finite Field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-391877