Proposed experiment to test fundamentally binary theories
arXiv:1611.05761 · doi:10.1103/PhysRevA.96.032104
Abstract
Fundamentally binary theories are nonsignaling theories in which measurements of many outcomes are constructed by selecting from binary measurements. They constitute a sensible alternative to quantum theory and have never been directly falsified by any experiment. Here we show that fundamentally binary theories are experimentally testable with current technology. For that, we identify a feasible Bell-type experiment on pairs of entangled qutrits. In addition, we prove that, for any n, quantum n-ary correlations are not fundamentally (n-1)-ary. For that, we introduce a family of inequalities that hold for fundamentally (n-1)-ary theories but are violated by quantum n-ary correlations.
5 pages, 3 inequalities, v2: only minor changes
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- Number of quantum measurement outcomes as a resource
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- Reliable optimization of arbitrary functions over quantum measurements
- Randomness-free Detection of Non-projective Measurements: Qubits & beyond