Tight N-observable uncertainty relations and their experimental demonstrations

Autor: Qiu-Cheng Song, Jun-Li Li, Hui Wang, Zhi-Xin Chen, Cong-Feng Qiao
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Scientific Reports
Scientific Reports, Vol 9, Iss 1, Pp 1-7 (2019)
ISSN: 2045-2322
Popis: The uncertainty relation, as one of the fundamental principles of quantum physics, captures the incompatibility of noncommuting observables in the preparation of quantum states. In this work, we derive two strong and universal uncertainty relations for $N(N\ge2)$ observables with discrete and bounded spectra, one in multiplicative form and the other in additive form. To verify their validity, for illustration, we implement in the spin-1/2 system an experiment with single-photon measurement. The experimental results exhibit the validity and robustness of these uncertainty relations, and indicate the existence of stringent lower bounds.
Comment: 9 pages, 5 figures. Slightly extended
Databáze: OpenAIRE