title: Multi-observable Uncertainty Relations in Product Form of Variances.
abstract: 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.
authors: Department of Mathematics, School of Science, South China University of Technology, Guangzhou 510640, China.
authors: Hui-Hui
authors: HH
authors: Qin
authors: School of Mathematical Sciences, Capital Normal University, Beijing 100048, China.|Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany.
authors: Shao-Ming
authors: SM
authors: Fei
authors: Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany.
authors: Xianqing
authors: X
authors: Li-Jost