Cumulants and the moment algebra: tools for analysing weak measurements

Details Cumulants and the moment algebra: tools for analysing weak measurements Cumulants and the moment algebra: tools for analysing weak measurements

2008-12-17

arxiv.org/abs/0812.3359v2

J. Math. Phys. 50, 042103 (2009)

Physics

Quantum Physics

Journal reference added, minor corrections

Scientific paper

10.1063/1.3093270

Recently it has been shown that cumulants significantly simplify the analysis of multipartite weak measurements. Here we consider the mathematical structure that underlies this, and find that it can be formulated in terms of what we call the moment algebra. Apart from resulting in simpler proofs, the flexibility of this structure allows generalizations of the original results to a number of weak measurement scenarios, including one where the weakly interacting pointers reach thermal equilibrium with the probed system.

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