Optimal experiment design revisited: fair, precise and minimal tomography

Details Optimal experiment design revisited: fair, precise and minimal tomography Optimal experiment design revisited: fair, precise and minimal tomography

2009-11-22

arxiv.org/abs/0911.4310v1

Phys. Rev. A 81, 042109 (2010)

Physics

Quantum Physics

16 pages, 7 figures

Scientific paper

10.1103/PhysRevA.81.042109

Given an experimental set-up and a fixed number of measurements, how should one take data in order to optimally reconstruct the state of a quantum system? The problem of optimal experiment design (OED) for quantum state tomography was first broached by Kosut et al. [arXiv:quant-ph/0411093v1]. Here we provide efficient numerical algorithms for finding the optimal design, and analytic results for the case of 'minimal tomography'. We also introduce the average OED, which is independent of the state to be reconstructed, and the optimal design for tomography (ODT), which minimizes tomographic bias. We find that these two designs are generally similar. Monte-Carlo simulations confirm the utility of our results for qubits. Finally, we adapt our approach to deal with constrained techniques such as maximum likelihood estimation. We find that these are less amenable to optimization than cruder reconstruction methods, such as linear inversion.

Affiliated with

Also associated with

No associations

Rating

Optimal experiment design revisited: fair, precise and minimal tomography 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 Optimal experiment design revisited: fair, precise and minimal tomography, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal experiment design revisited: fair, precise and minimal tomography will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-172830