Simultaneous weak measurement of non-commuting observables: a generalized Arthurs-Kelly protocol.

ABSTRACT: In contrast to a projective quantum measurement, in a weak measurement the system is only weakly perturbed while only partial information on the measured observable is obtained. A simultaneous measurement of non-commuting observables cannot be projective, however the strongest possible such measurement can be defined as providing their values at the smallest uncertainty limit. Starting with the Arthurs and Kelly (AK) protocol for such measurement of position and momentum, we derive a systematic extension to a corresponding weak measurement along three steps: First, a plausible form of the weak measurement operator analogous to the Gaussian Kraus operator, often used to model a weak measurement of a single observable, is obtained by projecting a naïve extension (valid for commuting observab

SUBMITTER: Ochoa MA 

PROVIDER: S-EPMC6202392 | biostudies-literature | 2018 Oct

REPOSITORIES: biostudies-literature