Experimental investigation of the uncertainty relation in pre- and postselected systems

• URL: http://arxiv.org/abs/2412.13399v1
• Date: Wed, 18 Dec 2024 00:29:23 GMT
• Title: Experimental investigation of the uncertainty relation in pre- and postselected systems
• Authors: Yue Zhang, Xinyang Che, Yuanbang Wei, Rui Tian, Yi-an Li, Miao Zhang, Shuai Li, Bo Liu,
• Abstract summary: Uncertainty principle is one of the fundamental principles of quantum mechanics. We experimentally investigate the Robertson-Heisenberg-type uncertainty relation for two incompatible observables in a PPS system.
• Score: 28.111582622994597
• License:
• Abstract: Uncertainty principle is one of the fundamental principles of quantum mechanics. Exploring such uncertainty relations in pre- and postselected (PPS) systems, where weak measurements on post-selected states have been used as a powerful tool for exploring the foundation of quantum mechanics, has so far eluded experimental effort. In this work, we experimentally investigate the Robertson-Heisenberg-type uncertainty relation for two incompatible observables in a PPS system. Through conducting a von Neumann-type measurement, uncertainty relations between two non-commuting Pauli observables are experimentally unveiled. Such uncertainty relations in the PPS system impose limitations on the joint sharp preparation of pre- and postselected states for two incompatible observables. Our experiments would be useful for the development of amplification techniques for precision measurements.

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