WORKSHOP on Collective quantum operations for information technologies
|
Quantum Reality and Measurement: An Approach Based on Quantum Set Theory
|
aula dottorato - VENERDì 12 SETTEMBRE 2008, ore 11.00 |
|
MASANAO
OZAWA, Graduate School of Information Science, Nagoya University, Japan |
>VITAE:
Masanao Ozawa is full professor at Graduate School of Information Sciences, Nagoya
University, formerly professor at Nagoya and then at Tohoku University. He is well
known expert of Quantum Information, Quantum Measurements and Quantum Open Systems. His realization theorem for instruments is largely known. |
 |
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. In order to reconcile this discrepancy, an approach based on quantum logic and quantum set theory is proposed to establish the relation between quantum reality and measurement.
We provide state-dependent notions of simultaneous determinateness, value identity, and simultaneous measurability, with which we construct a contextual interpretation that reconciles the discrepancy arising from simultaneous measurability of nowhere commuting observables.
|
|
 |