title: Experimental Test of Entropic Noise-Disturbance Uncertainty Relations for Spin-1/2 Measurements.
abstract: Information-theoretic definitions for noise and disturbance in quantum measurements were given in [Phys. Rev. Lett. 112, 050401 (2014)] and a state-independent noise-disturbance uncertainty relation was obtained. Here, we derive a tight noise-disturbance uncertainty relation for complementary qubit observables and carry out an experimental test. Successive projective measurements on the neutron's spin-1/2 system, together with a correction procedure which reduces the disturbance, are performed. Our experimental results saturate the tight noise-disturbance uncertainty relation for qubits when an optimal correction procedure is applied.
authors.affiliation: Atominstitut, Vienna University of Technology, 1020 Vienna, Austria.
authors.forename: Georg
authors.initials: G
authors.lastname: Sulyok
authors.affiliation: Atominstitut, Vienna University of Technology, 1020 Vienna, Austria.
authors.forename: Stephan
authors.initials: S
authors.lastname: Sponar
authors.affiliation: Atominstitut, Vienna University of Technology, 1020 Vienna, Austria.
authors.forename: Bülent
authors.initials: B
authors.lastname: Demirel
authors.affiliation: Graduate School of Information Science, Nagoya University, Chikusa-ku, Nagoya 464-8601, Japan.
authors.forename: Francesco
authors.initials: F
authors.lastname: Buscemi
authors.affiliation: Centre for Quantum Computation and Communication Technology (Australian Research Council), Centre for Quantum Dynamics, Griffith University, Brisbane, QLD 4111, Australia.
authors.forename: Michael J W
authors.initials: MJ
authors.lastname: Hall
authors.affiliation: Graduate School of Information Science, Nagoya University, Chikusa-ku, Nagoya 464-8601, Japan.
authors.forename: Masanao
authors.initials: M
authors.lastname: Ozawa
authors.affiliation: Atominstitut, Vienna University of Technology, 1020 Vienna, Austria.
authors.forename: Yuji
authors.initials: Y
authors.lastname: Hasegawa