Experimental Test of Entropic Noise-Disturbance Uncertainty Relations for Three-Outcome Qubit Measurements

• URL: http://arxiv.org/abs/2005.13410v2
• Date: Wed, 21 Oct 2020 11:56:35 GMT
• Title: Experimental Test of Entropic Noise-Disturbance Uncertainty Relations for Three-Outcome Qubit Measurements
• Authors: Stephan Sponar and Armin Danner and Vito Pecile and Nico Einsidler and Buelent Demirel and Yuji Hasegawa
• Abstract summary: Information-theoretic uncertainty relations formulate the joint immeasurability of two non-commuting observables. Recent theoretical analysis predicts that projective measurements are not optimal. We experimentally test a tight information-theoretic measurement uncertainty relation for three-outcome positive-operator valued measures.
• Score: 1.4680035572775534
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Information-theoretic uncertainty relations formulate the joint immeasurability of two non-commuting observables in terms of information entropies. The trade-off of the accuracy in the outcome of two successive measurements manifests in entropic noise-disturbance uncertainty relations. Recent theoretical analysis predicts that projective measurements are not optimal, with respect to the noise-disturbance trade-offs. Therefore the results in our previous letter [PRL 115, 030401 (2015)] are outperformed by general quantum measurements. Here, we experimentally test a tight information-theoretic measurement uncertainty relation for three-outcome positive-operator valued measures (POVM), using neutron spin-1/2 qubits. The obtained results violate the lower bound for projective measurements as theoretically predicted.

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