QIQT 2022 | Quantum mechanics? It’s all fun and games until someone loses an i - Christopher Fuchs

QIQT 2022 | Quantum mechanics? It’s all fun and games until someone loses an i - Prof. Christopher A. Fuchs, UMass Boston

Title: Quantum mechanics? It’s all fun and games until someone loses an .



Abstract: QBism is a foundational program for quantum mechanics premised on the idea that quantum probabilities must be understood as Bayesian probabilities—that is, quantified degrees of belief or gambling attitudes. Philosophers hate it. “Wah, wah, wah, your quantum states are not objective features of the world; they have to be [because my philosophy says so].” What the philosophers have never appreciated (or perhaps cared about) is that this turn in thinking has motivated a significant number of theorems and constructions in quantum information science that might not have been discovered otherwise (from the quantum no-broadcasting theorem, to the quantum de Finetti theorem, to the first criterion for certifiable continuous-variable quantum teleportation and plenty more than that). In this talk, I will outline QBism’s most ambitious technical project yet: Rewriting the quantum formalism so that it wears its Bayesian nature on its sleeve. As a vehicle for introducing concepts (and just for fun), I’ll turn the formalism toward demonstrating how ugly quantum theory would be through a QBist lens if it were based on real, rather than complex, numbers. How wrong was Schrödinger when he wrote to Lorentz, “What is unpleasant here … is the use of complex numbers. is surely a fundamentally real function.” As our mothers warned, losing an is nothing to joke about!

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