Multi-observable Uncertainty Relations in Product Form of Variances
Hui-Hui Qin, Shao-Ming Fei, and Xianqing Li-Jost
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Submission date: 05. Aug. 2016
published in: Scientific Reports, 6 (2016), art-no. 31192
DOI number (of the published article): 10.1038/srep31192
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We investigate the product form uncertainty relations of variances for n(n ≥ 3) quantum observables. In particular, tight uncertainty relations satisfied by three observables has been derived, which is shown to be better than the ones derived from the strengthened Heisenberg and the generalized Schrödinger uncertainty relations, and some existing uncertainty relation for three spin-half operators. Uncertainty relation of arbitrary number of observables is also derived. As an example, the uncertainty relation satisfied by the eight Gell-Mann matrices is presented.