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MiS Preprint

Multi-observable Uncertainty Relations in Product Form of Variances

Hui-Hui Qin, Shao-Ming Fei and Xianqing Li-Jost


We investigate the product form uncertainty relations of variances for $n\,(n\geq 3)$ 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.

Aug 5, 2016
Aug 10, 2016

Related publications

2016 Journal Open Access
Huihui Qin, Shao-Ming Fei and Xianqing Li-Jost

Multi-observable uncertainty relations in product form of variances

In: Scientific reports, 6 (2016), p. 31192