G. Puentes, N. Hermosa, J. P. Torres
Weak measurements are a unique tool for accessing information about weakly interacting quantum systems with minimal back-action. Joint weak measurements of single-particle operators with pointer states characterized by a two-dimensional Gaussian distribution can provide, in turn, key information about quantum correlations which can be of relevance for quantum information applications. In this paper, we demonstrate that by employing two-dimensional pointer states endowed with orbital angular momentum (OAM), it is possible to extract second-order weak values of single particle operators, an unaccessible quantity with Gaussian pointer states only. An important application of the results presented here is in the non-destructive measurement of single-particle operator weak variances, via two-dimensional pointer displacements.
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http://arxiv.org/abs/1204.3544
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