Bonn 2025 – wissenschaftliches Programm
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SYQT: Symposium Foundations of Quantum Theory
SYQT 1: Foundations of Quantum Theory
SYQT 1.4: Hauptvortrag
Mittwoch, 12. März 2025, 12:30–13:00, HS 1+2
Spin-bounded correlations: rotation boxes within and beyond quantum theory — Albert Aloy1,2, •Thomas Galley1,2, Caroline Jones1,2, Stefan Ludescher1,2, and Markus Müller1,2,3 — 1Institute for Quantum Optics and Quantum Information, Vienna, Austria — 2Vienna Center for Quantum Science and Technology, Vienna, Austria — 3Perimeter Institute for Theoretical Physics, Waterloo, Canada
How does the structure of space-time constrain the structure of quantum theory? Namely if we assume that a probabilistic theory fits into space and time does this already imply important structural features of quantum theory?
In a simple prepare-and-measure scenario the detector click probabilities should respond to rotations of the device around a fixed axis. In an analogy to the non-local boxes arising in Bell setups I will define rotation boxes which generate rotational correlations.
The correlations generated by a rotation box carry a representation of SO(2) which will allow us to define a general notion of spin. I will show that for spins 0, 1/2 and 1 the set of general correlations admits a quantum realisation, whilst for spins 3/2 and higher I will show that this is not the case by providing an explicit Tsirelson type inequality. I will briefly outline how this framework connects to a number of topics including semi-definite programs, orbitopes and symmetric entanglement witnesses.
Keywords: Semi-device independent information processing; General Probabilistic Theories; Symmetry