Directly estimating non-classicality

Details Directly estimating non-classicality Directly estimating non-classicality

2010-05-10

arxiv.org/abs/1005.1665v2

Phys. Rev. Lett. 106, 010403 (2011)

Physics

Quantum Physics

4+1 pages, 2 figures, minor changes

Scientific paper

10.1103/PhysRevLett.106.010403

We establish a method of directly measuring and estimating non-classicality - operationally defined in terms of the distinguishability of a given state from one with a positive Wigner function. It allows to certify non-classicality, based on possibly much fewer measurement settings than necessary for obtaining complete tomographic knowledge, and is at the same time equipped with a full certificate. We find that even from measuring two conjugate variables alone, one may infer the non-classicality of quantum mechanical modes. This method also provides a practical tool to eventually certify such features in mechanical degrees of freedom in opto-mechanics. The proof of the result is based on Bochner's theorem characterizing classical and quantum characteristic functions and on semi-definite programming. In this joint theoretical-experimental work we present data from experimental optical Fock state preparation, demonstrating the functioning of the approach.

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