Direct Fidelity Estimation from Few Pauli Measurements
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Open Access
- 8 June 2011
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 106 (23), 230501
- https://doi.org/10.1103/physrevlett.106.230501
Abstract
We describe a simple method for certifying that an experimental device prepares a desired quantum state . Our method is applicable to any pure state , and it provides an estimate of the fidelity between 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 , the dimension of the state space, and extends easily and naturally to quantum channels.
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Funding Information
- National Institute of Standards and Technology
- National Science Foundation
- Army Research Office
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