Freiburg 2024 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 17: Quantum Information I
Q 17.7: Vortrag
Dienstag, 12. März 2024, 12:30–12:45, HS 1199
Generalization of the Peres test: Multi-slit and multi-particle extension — •Ece Ipek Saruhan1,2, Marc-Oliver Pleinert2, and Joachim von Zanthier2 — 1Institute for Quantum Optics and Quantum Information (IQOQI) Vienna, Boltzmanngasse 3, A-1090 Vienna, Austria — 2Quantum Optics and Quantum Information Group, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstr. 1, 91058 Erlangen, Germany
The axioms of quantum mechanics provide limited information regarding the structure of the Hilbert space, such as the underlying number system, which may be real, complex, or hyper-complex. Asher Peres proposed a method to test hyper-complex quantum mechanics with a single particle and three scatterers [1]. In this talk, we introduce a convenient way to derive the test and extend it to a higher number of particles and scatterers (slits). We show that the sensitivity to detect - still hypothetical - hyper-complex phases changes with the number of slits and particles. In particular, we find that if one wants to test d vs. k dimensional theories where d<k, one must use d+1 ≤ s ≤ k slits. [1] A. Peres, Phys. Rev. Lett. 42, 683 (1979)
Keywords: hyper-complex quantum mechanics; tests of quantum mechanics; multi-path interference; multi-particle interference; Peres test