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arXiv · 1905.09556

Experimental test of error-disturbance uncertainty relation with continuous variables

Yang Liu·Haijun Kang·Dongmei Han·Xiaolong Su·Kunchi Peng
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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.

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Yang Liu, Haijun Kang, Dongmei Han, Xiaolong Su, Kunchi Peng. 2019-05-23. Experimental test of error-disturbance uncertainty relation with continuous variables. https://arxiv.org/abs/1905.09556

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