Thumbnail
Access Restriction
Open

Author Ozawa, Masanao
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-11-05
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword Quantum Physics ♦ physics:quant-ph
Abstract The recently established universal uncertainty principle revealed that two nowhere commuting observables can be measured simultaneously in some state, whereas they have no joint probability distribution in any state. Thus, one measuring apparatus can simultaneously measure two observables that have no simultaneous reality. In order to reconcile this discrepancy, an approach based on quantum logic is proposed to establish the relation between quantum reality and measurement. We provide a language speaking of values of observables independent of measurement based on quantum logic and we construct in this language the state-dependent notions of joint determinateness, value identity, and simultaneous measurability. This naturally provides a contextual interpretation, in which we can safely claim such a statement that one measuring apparatus measures one observable in one context and simultaneously it measures another nowhere commuting observable in another incompatible context.
Description Reference: Found. Phys. 41, 592--607 (2011)
Educational Use Research
Learning Resource Type Article
Page Count 16


Open content in new tab

   Open content in new tab