Experimental proposal for symmetric minimal two-qubit state tomography
Abstract
We propose an experiment that realizes a symmetric informationally complete (SIC) probability-operator measurement (POM) in the four-dimensional Hilbert space of a qubit pair. The qubit pair is carried by a single photon as a polarization qubit and a path qubit. The implementation of the SIC POM is accomplished with the means of linear optics. The experimental scheme exploits a new approach to SIC POMs that uses a two-step process: a measurement with full-rank outcomes, followed by a projective measurement on a basis that is chosen in accordance with the result of the first measurement. The basis of the first measurement and the four bases of the second measurements are pairwise unbiased --- a hint at a possibly profound link between SIC POMs and mutually unbiased bases.
Cite
@article{arxiv.1203.1675,
title = {Experimental proposal for symmetric minimal two-qubit state tomography},
author = {Amir Kalev and Jiangwei Shang and Berthold-Georg Englert},
journal= {arXiv preprint arXiv:1203.1675},
year = {2015}
}
Comments
4 pages, 2 figures