Imprecise probability for non-commuting observables

Simultaneous Measurement of Non-commuting Observables

It is shown that the full unknown state of a spin1 2 system, S, which, within Born’s statistical interpretation, is meant as the state of an ensemble of identically prepared systems and is described by its density matrix, can be determined with a simultaneous measurement with the help of an “assistant” system A whose initial state is known. The idea is to let S and A interact with each other in...

Linear random measurements of two non-commuting observables

A Cram er{Rao type bound for two{parameter quantum statistical model is studied, based on linear random measurements. It is shown that in nitely many (continuous potency) measurements which attain a lower bound exist. The RLD{bound for pure coherent models is shown to be most informative.

Correlators in simultaneous measurement of non-commuting qubit observables

Juan Atalaya, Shay Hacohen-Gourgy, 3 Leigh S. Martin, 3 Irfan Siddiqi, 3 and Alexander N. Korotkov Department of Electrical and Computer Engineering, University of California, Riverside, CA 92521, USA Quantum Nanoelectronics Laboratory, Department of Physics, University of California, Berkeley CA 94720, USA Center for Quantum Coherent Science, University of California, Berkeley CA 94720, USA. (...

Order Effects in Sequential Measurements of Non-Commuting Psychological Observables

Sequential measurements of non-commuting observables produce order effects that are well-known in quantum physics. But their conceptual basis, a significant measurement interaction, is relevant for far more general situations. We argue that non-commutativity is ubiquitous in psychology where almost every interaction with a mental system changes that system in an uncontrollable fashion. Psycholo...

Imprecise Probability