On Estimating the State of a Finite Level Quantum System
Quantum Physics
2007-05-23 v1
Abstract
We revisit the problem of mutually unbiased measurements in the context of estimating the unknown state of a -level quantum system, first studied by W. K. Wootters and B. D. fields[7] in 1989 and later investigated by S. Bandyopadhyay et al [3] in 2001 and A. O. Pittenger and M. H. Rubin [6] in 2003. Our approach is based directly on the Weyl operators in the -space over a finite field when is the power of a prime. When is not a prime power we sacrifice a bit of optimality and construct a recovery operator for reconstructing the unknown state from the probabilities of elementary events in different measurements.
Cite
@article{arxiv.quant-ph/0408069,
title = {On Estimating the State of a Finite Level Quantum System},
author = {K. R. Parthasarathy},
journal= {arXiv preprint arXiv:quant-ph/0408069},
year = {2007}
}