• Photonics Research
  • Vol. 7, Issue 11, 11000A56 (2019)
Yang Liu1, Haijun Kang1, Dongmei Han1, Xiaolong Su1、2、*, and Kunchi Peng1、2
Author Affiliations
  • 1State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China
  • 2Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
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    The uncertainty relation is one of the fundamental principles 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 incompatible continuous-variable observables, amplitude and phase quadratures of an optical mode, are measured simultaneously using a heterodyne measurement system. The EDR values with continuous variables for coherent, squeezed, and thermal states are verified experimentally. Our experimental results demonstrate that Heisenberg’s EDR with continuous variables is violated, while Ozawa’s and Branciard’s EDRs with continuous variables are validated.
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    Yang Liu, Haijun Kang, Dongmei Han, Xiaolong Su, Kunchi Peng. Experimental test of error-disturbance uncertainty relation with continuous variables[J]. Photonics Research, 2019, 7(11): 11000A56
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    Special Issue: Quantum Photonics
    Received: Apr. 3, 2019
    Accepted: Sep. 7, 2019
    Published Online: Oct. 30, 2019
    The Author Email: Xiaolong Su (suxl@sxu.edu.cn)