Regensburg 2022 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 4: Poster: Quantum Information

QI 4.25: Poster

Montag, 5. September 2022, 18:00–20:00, P2

Quantum Possibilistic Paradoxes and Logical Contextuality — •Leonardo Santos — Universität Siegen, Siegen, Germany

Contextuality and nonlocality are nonclassical properties exhibited by quantum statistics whose implications profoundly impact both the foundations and applications of quantum theory. In this contribution we provide some insights into logical contextuality and inequality-free proofs. The former concept can be understood as the possibility version of contextuality, while the latter refers to proofs of quantum contextuality or nonlocality that are not based on violations of some noncontextuality (or Bell) inequality. By *possibilistic* we mean a description in terms of possibilities for the outcomes, which are Boolean variables assuming value 1 when the corresponding probability is strictly larger than zero and 0 otherwise. In this work we built a bridge between these two concepts from what we call possibilistic paradoxes, which are sets of possibilistic conditions whose occurrence implies contextuality and nonlocality. As the main result, we demonstrate the existence of possibilistic paradoxes whose occurrence is a necessary and sufficient condition for logical contextuality in a very important class of scenarios. Finally, we discuss some interesting consequences arising from the completeness of these possibilistic paradoxes.