Experimental Test of Entropic Noise-Disturbance Uncertainty Relations for Spin-1/2 Measurements

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...

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Bibliographic Details
Published in:Physical review letters 2015-07, Vol.115 (3), p.030401-030401, Article 030401
Main Authors: Sulyok, Georg, Sponar, Stephan, Demirel, Bülent, Buscemi, Francesco, Hall, Michael J W, Ozawa, Masanao, Hasegawa, Yuji
Format: Article
Language:English
Subjects:
Disturbances
Noise
Optimization
Qubits (quantum computing)
Uncertainty
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.115.030401