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Published June 8, 2011 | Supplemental Material + Published
Journal Article Open

Direct Fidelity Estimation from Few Pauli Measurements

Abstract

We describe a simple method for certifying that an experimental device prepares a desired quantum state ρ. Our method is applicable to any pure state ρ, and it provides an estimate of the fidelity between ρ and the actual (arbitrary) state in the lab, up to a constant additive error. The method requires measuring only a constant number of Pauli expectation values, selected at random according to an importance-weighting rule. Our method is faster than full tomography by a factor of d, the dimension of the state space, and extends easily and naturally to quantum channels.

Additional Information

© 2011 American Physical Society. Received 30 April 2011; published 8 June 2011. We thank D. Gross, J. Preskill, and T. Monz for helpful discussions. Y. K. L. was supported by NIST Grant No. 60NANB10D262, and S. T. F. by NSF Grant No. PHY-0803371 and ARO Grant No. W911NF-09-1-0442. We would also like to note that M. da Silva, O. Landon-Cardinal, and D. Poulin [28] have recently and independently obtained similar results.

Attached Files

Published - Flammia2011p14347Phys_Rev_Lett.pdf

Supplemental Material - README.TXT

Supplemental Material - supplemental.pdf

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