Experimental test of the uncertainty relations for mixed states

doi:10.7523/j.issn.2095-6134.2021.06.003

Abstract

Abstract: The uncertainty relation lies at the heart of quantum theory and behaves as a trade-off relation between the inherent uncertainties of incompatible observables. Many experiments have been devoted to the test of the various uncertainty relations, where the quantum system are mainly prepared in pure states. Here we present an experimental investigation of the direct sum majorization uncertainty relation optimal majorization uncertainty for mixed states using the coherent light. By measuring the Stokes parameters of the polarized beams, the direct sum majorization uncertainty relation for general mixed states is verified. The experimental results show that the tested majorization uncertainty relation is optimized for the mixed states.

Key words: majorization uncertainty, coherent light, mixed states, stokes parameters

CLC Number:

O431.2

WANG Shuang, LI Junli, WANG Hui, MENG Fangxia, QIAO Congfeng. Experimental test of the uncertainty relations for mixed states[J]. Journal of University of Chinese Academy of Sciences, 2021, 38(6): 735-740.

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