Quantum-mechanical analysis of the Tsirelson inequality in harmonic oscillators shows that generalized uniform precession conditions hold sufficiently well to imply the presence of quantum interference terms.
How often is the coordinate of a harmonic oscillator positive?
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abstract
The coordinate of a harmonic oscillator is measured at a time chosen at random among three equiprobable instants: now, after one third of the period, or after two thirds. The (total) probability that the outcome is positive depends on the state of the oscillator. In the classical case the probability varies between 1/3 and 2/3, but in the quantum case -- between 0.29 and 0.71.
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Assessing the dynamical assumptions in Tsirelson inequality tests of non-classicality in harmonic oscillators
Quantum-mechanical analysis of the Tsirelson inequality in harmonic oscillators shows that generalized uniform precession conditions hold sufficiently well to imply the presence of quantum interference terms.