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quant-ph2024
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…
quant-ph2024
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…
quant-ph2024★ 1 cited
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…