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18 September 2018 Experimental investigation of multi-observable uncertainty relations with single photons
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Abstract
The Heisenberg-Robertson uncertainty relation presents a lower bound on the product of variance of two observables, and provides a trade-off relation of measurement errors of these two observables for any given quantum states. Recently multi-observable uncertainty relations relating on that product of variances are proposed. Here we experimentally demonstrate these multi-observable uncertainty relations are valid in a state-dependent manner and the lower bound is tight for multi-observable being incompatible on the state of the system being measured. We find the behaviour of multiple incompatible observables agrees with the predictions of quantum theory.
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Peng Xue, Bowen Fan, Kunkun Wang, and Lei Xiao "Experimental investigation of multi-observable uncertainty relations with single photons", Proc. SPIE 10771, Quantum Communications and Quantum Imaging XVI, 1077110 (18 September 2018); https://doi.org/10.1117/12.2318021
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