From the 1 of 10 linked papers with an AI index.
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A Logical Formalism of Hardy-type Paradox
Songyi Liu, Yongjun Wang, Baoshan Wang +2
The paper introduces a unified logical framework for Hardy‑type paradoxes and shows that their existence is equivalent to logical contextuality in any finite quantum measurement sc…
Classically Realizable Incompatibility
Songyi Liu, Yongjun Wang, Baoshan Wang +2
Incompatibility constitutes a fundamental aspect of quantum mechanics. However, not every quantum observable non-classical property arises from incompatibility, nor can all quantum…
Hardy's Paradox for Yu-Oh Set Constructed by Logically Contextual Quantum States
Chang He, Yongjun Wang, Baoshan Wang +2
Quantum contextuality is a fundamental nonclassical property of quantum systems, regarded as a key resource that demonstrates the computational and informational advantages of quan…
The logical structure of contextuality and nonclassicality
Songyi Liu, Yongjun Wang, Baoshan Wang +2
Quantum contextuality represents a fundamental form of nonclassicality in quantum mechanics. To provide a more complete characterization of nonclassical properties in quantum syste…
Event-based quantum contextuality theory
Songyi Liu, Yongjun Wang, Baoshan Wang +1
Fully revealing the mathmatical structure of quantum contextuality is a significant task, while some known contextuality theories are only applicable for rank-1 projectors. That is…
Atom graph, partial Boolean algebra and quantum contextuality
Songyi Liu, Yongjun Wang, Baoshan Wang +2
Partial Boolean algebra underlies the quantum logic as an important tool for quantum contextuality. We propose the notion atom graphs to reveal the graph structure of partial Boole…