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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…
A Logical Formalism of Hardy-type Paradox
Songyi Liu, Yongjun Wang, Baoshan Wang +2
Hardy-type paradoxes provide elegant, inequality-free proofs of quantum contextuality. We introduce a unified logical formalism for these paradoxes, termed logical Hardy-type parad…
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…
Determining Strong Contextuality on rank-one Projectors
Jiawei Nie, Yongjun Wang, Songyi Liu
The strength of quantum contextuality is closely related to quantum computation power. Yu-Oh set is the minimal quantum system with state-independent contextuality(SIC). However, i…
Graph structure of quantum mechanics
Songyi Liu, Yongjun Wang, Baoshan Wang +2
The quantum mechanics is proved to admit no hidden-variable in 1960s, which means the quantum systems are contextual. Revealing the mathematical structure of quantum mechanics is a…
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…
Intuitionistic Quantum Logic Perspective: Static and Dynamic Revision Operators
Heng Zhou, Yongjun Wang, Baoshan Wang +2
The classical belief revision framework, as proposed by Alchourron, Gardenfors, and Makinson, involves the revision of a theory based on eight postulates. In this paper, we focus o…