Experimental Test of Tight State-Independent Preparation Uncertainty Relations for Qubits

• URL: http://arxiv.org/abs/2002.10725v2
• Date: Wed, 5 Aug 2020 14:35:39 GMT
• Title: Experimental Test of Tight State-Independent Preparation Uncertainty Relations for Qubits
• Authors: Stephan Sponar and Armin Danner and Kazuma Obigane and Simon Hack and Yuji Hasegawa
• Abstract summary: We present a neutron optical test of the tight state preparation uncertainty relations for non-independent Pauli spin states with mixed spin states. The final results, obtained in a polarimetric experiment, reproduce the theoretical predictions evidently for arbitrary initial states variable degree polarization.
• Score: 1.5749416770494706
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The well-known Robertson-Schroedinger uncertainty relations miss an irreducible lower bound. This is widely attributed to the lower bound's state-dependence. Therefore, Abbott \emph{et al.} introduced a general approach to derive tight state-independent uncertainty relations for qubit measurements [Mathematics 4, 8 (2016)]. The relations are expressed in two measures of uncertainty, which are standard deviation and entropy, both functions of the expectation value. Here, we present a neutron optical test of the tight state-independent preparation uncertainty relations for non-commuting Pauli spin observables with mixed spin states. The final results, obtained in a polarimetric experiment, reproduce the theoretical predictions evidently for arbitrary initial states of variable degree of polarization.

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