Experimental test of error-tradeoff uncertainty relation using a continuous-variable entangled state

Abstract

Heisenberg's original uncertainty relation is related to measurement effect, which is different from the preparation uncertainty relation. However, it has been shown that Heisenberg's error-disturbance uncertainty relation can be violated in some cases. We experimentally test the error-tradeoff uncertainty relation by using a continuous-variable Einstein-Podolsky-Rosen (EPR) entangled state. Based on the quantum correlation between the two entangled optical beams, the errors on amplitude and phase quadratures of one EPR optical beam coming from joint measurement are estimated respectively, which are used to verify the error-tradeoff relation. Especially, the error-tradeoff relation for error-free measurement of one observable is verified in our experiment. We also verify the error-tradeoff relations for nonzero errors and mixed state by introducing loss on one EPR beam. Our experimental results demonstrate that Heisenberg's error-tradeoff uncertainty relation is violated in some cases for a continuous-variable system, while the Ozawa's and Brainciard's relations are valid.

References in corpus (26)

• Quantum entanglement
• Gaussian Quantum Information
• Bell nonlocality
• Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement
• Violation of Heisenberg's Measurement-Disturbance Relationship by Weak Measurements
• Soundness and completeness of quantum root-mean-square errors
• Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin-measurements
• Quantum root-mean-square error and measurement uncertainty relations
• Optimal estimation of joint parameters in phase space
• How well can one jointly measure two incompatible observables on a given quantum state?
• Prior information: how to circumvent the standard joint-measurement uncertainty relation
• Noise and disturbance in quantum measurements: an information-theoretic approach
• Gate sequence for continuous variable one-way quantum computation
• Joint quantum measurements with minimum uncertainty
• Experimental Test of Error-Disturbance Uncertainty Relations by Weak Measurement
• Uncertainty Relations for Joint Measurements of Noncommuting Observables
• Measuring measurement--disturbance relationships with weak values
• Experimental test of universal complementarity relations
• Physical content of Heisenberg's uncertainty relation: Limitation and reformulation
• Certainty in Heisenberg's uncertainty principle: Revisiting definitions for estimation errors and disturbance
• Experimental test of Heisenberg's measurement uncertainty relation based on statistical distances
• Experimental test of entropic noise-disturbance uncertainty relations for spin-1/2 measurements
• Optimized entropic uncertainty relation for successive measurement
• Residual error-disturbance uncertainties in successive spin-1/2 measurements tested in matter-wave optics
• Improved Error-Tradeoff and Error-Disturbance Relations
• Measurement uncertainty relations for position and momentum: Relative entropy formulation

Cited by in corpus (5)

• Experimental demonstration of remotely creating Wigner negativity via quantum steering
• Remote preparation of optical cat states based on Gaussian entanglement
• Remote preparation and manipulation of squeezed light
• Error-disturbance uncertainty relations in Faraday measurements
• Experimentally realized local-global tradeoff in quantum resources