Tight N-observable uncertainty relations and their experimental demonstrations
Autor: | Qiu-Cheng Song, Jun-Li Li, Hui Wang, Zhi-Xin Chen, Cong-Feng Qiao |
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Jazyk: | angličtina |
Rok vydání: | 2019 |
Předmět: |
0301 basic medicine
Quantum optics Quantum Physics Work (thermodynamics) Multidisciplinary lcsh:R Multiplicative function lcsh:Medicine FOS: Physical sciences Observable Article 03 medical and health sciences 030104 developmental biology 0302 clinical medicine Quantum state Robustness (computer science) Bounded function lcsh:Q Statistical physics Quantum information lcsh:Science Quantum Physics (quant-ph) 030217 neurology & neurosurgery Mathematics |
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 |
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