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Experimental test of tight state-independent preparation uncertainty relations for qubits

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/79765

Title: Experimental test of tight state-independent preparation uncertainty relations for qubits
Authors: Sponar, Stephan Browse this author
Danner, Armin Browse this author
Obigane, Kazuma Browse this author
Hack, Simon Browse this author
Hasegawa, Yuji Browse this author
Issue Date: 6-Oct-2020
Publisher: American Physical Society (APS)
Journal Title: Physical Review A
Volume: 102
Issue: 4
Start Page: 042204
Publisher DOI: 10.1103/PhysRevA.102.042204
Abstract: The well-known Robertson-Schrodinger uncertainty relations miss an irreducible lower bound. This is widely attributed to the lower bound's state dependence. Therefore, Abbott 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 polarimetric test of the tight state-independent preparation uncertainty relations for orthogonal, as well as nonorthogonal, Pauli spin observables. The final results, obtained with pure and mixed spin states, reproduce the theoretical predictions clearly for arbitrary initial states of variable degree of polarization.
Rights: ©[2020] American Physical Society
Type: article
URI: http://hdl.handle.net/2115/79765
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 長谷川 祐司

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