Experimental test of error-disturbance uncertainty relation with continuous variables
Quantum Physics
2019-05-24 v1
Abstract
Uncertainty relation is one of the fundamental principle in quantum mechanics and plays an important role in quantum information science. We experimentally test the error-disturbance uncertainty relation (EDR) with continuous variables for Gaussian states. Two conjugate continuous-variable observables, amplitude and phase quadratures of an optical mode, are measured simultaneously by using a heterodyne measurement system. The EDR with continuous variables for a coherent state, a squeezed state and a thermal state are verified experimentally. Our experimental results demonstrate that Heisenberg's EDR with continuous variables is violated, yet Ozawa's and Branciard's EDR with continuous variables are validated.
Keywords
Cite
@article{arxiv.1905.09556,
title = {Experimental test of error-disturbance uncertainty relation with continuous variables},
author = {Yang Liu and Haijun Kang and Dongmei Han and Xiaolong Su and Kunchi Peng},
journal= {arXiv preprint arXiv:1905.09556},
year = {2019}
}