Direct Fidelity Estimation from Few Pauli Measurements

Details Direct Fidelity Estimation from Few Pauli Measurements Direct Fidelity Estimation from Few Pauli Measurements

2011-04-25

arxiv.org/abs/1104.4695v3

Phys. Rev. Lett. 106, 230501 (2011)

Physics

Quantum Physics

4+3 pages, 1 figure. See also the closely related work: arXiv:1104.3835. v3, refs added, minor changes

Scientific paper

10.1103/PhysRevLett.106.230501

We describe a simple method for certifying that an experimental device prepares a desired quantum state rho. Our method is applicable to any pure state rho, and it provides an estimate of the fidelity between rho 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.

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