Sequences of projective measurements in generalized probabilistic models
Abstract
We define a simple rule that allows us to describe sequences of projective measurements for a broad class of generalized probabilistic models. This class embraces quantum mechanics and classical probability theory, but, for example, also the hypothetical PopescuRohrlich box. For quantum mechanics, the definition yields the established Lüders rule, which is the standard rule for updating the quantum state after a measurement. For the general case, it can be seen as being the least disturbing or most coherent way of performing sequential measurements. We show, as an example, that the Spekkens toy model (Spekkens 2007 Phys. Rev. A 75 032110) provides an instance of our definition. We also demonstrate the possibility of strong postquantum correlations as well as the existence of tripleslit correlations for certain nonquantum toy models.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 November 2014
 DOI:
 10.1088/17518113/47/45/455304
 arXiv:
 arXiv:1402.3583
 Bibcode:
 2014JPhA...47S5304K
 Keywords:

 Quantum Physics;
 Mathematical Physics
 EPrint:
 14 pages