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Direct Fidelity Estimation from Few Pauli Measurements

Flammia, Steven T. and Liu, Yi-Kai (2011) Direct Fidelity Estimation from Few Pauli Measurements. Physical Review Letters, 106 (23). Art. No. 230501. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20110706-082852558

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevLett.106.230501DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevLett.106.230501PublisherUNSPECIFIED
http://prl.aps.org/abstract/PRL/v106/i23/e230501PublisherUNSPECIFIED
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.
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
National Institute of Standards & Technology (NIST)60NANB10D262
NSFPHY-0803371
Army Research Office (ARO)W911NF-09-1-0442
Classification Code:PACS: 03.67.Ac, 03.65.Wj
Record Number:CaltechAUTHORS:20110706-082852558
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110706-082852558
Official Citation:Direct Fidelity Estimation from Few Pauli Measurements Steven T. Flammia and Yi-Kai Liu Published 8 June 2011 (4 pages) 230501
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24309
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:06 Jul 2011 15:42
Last Modified:26 Dec 2012 13:22

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