Cumulants and the moment algebra: Tools for analyzing weak measurements
Abstract
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.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- April 2009
- DOI:
- 10.1063/1.3093270
- arXiv:
- arXiv:0812.3359
- Bibcode:
- 2009JMP....50d2103A
- Keywords:
-
- 03.65.Fd;
- 03.65.Db;
- 05.30.-d;
- 02.50.Cw;
- Algebraic methods;
- Functional analytical methods;
- Quantum statistical mechanics;
- Probability theory;
- Quantum Physics
- E-Print:
- Journal reference added, minor corrections