Markov Chain Monte Carlo Estimation of Quantum States

Details Markov Chain Monte Carlo Estimation of Quantum States Markov Chain Monte Carlo Estimation of Quantum States

2009-02-26

arxiv.org/abs/0902.4603v1

Physics

Quantum Physics

8 pages, 8 figures. Accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.79.032114

We apply a Bayesian data analysis scheme known as the Markov Chain Monte Carlo (MCMC) to the tomographic reconstruction of quantum states. This method yields a vector, known as the Markov chain, which contains the full statistical information concerning all reconstruction parameters including their statistical correlations with no a priori assumptions as to the form of the distribution from which it has been obtained. From this vector can be derived, e. g. the marginal distributions and uncertainties of all model parameters and also of other quantities such as the purity of the reconstructed state. We demonstrate the utility of this scheme by reconstructing the Wigner function of phase-diffused squeezed states. These states posses non-Gaussian statistics and therefore represent a non-trivial case of tomographic reconstruction. We compare our results to those obtained through pure maximum-likelihood and Fisher information approaches.

Affiliated with

Also associated with

No associations

Rating

Markov Chain Monte Carlo Estimation of Quantum States 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 Markov Chain Monte Carlo Estimation of Quantum States, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Markov Chain Monte Carlo Estimation of Quantum States will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254538