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Experimental test of tight state-independent preparation uncertainty relations for qubits
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)
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Submitter: 長谷川 祐司
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