How quantum correlations enhance prediction of complementary measurements

Radim Filip; Miroslav Gavenda; Jan Soubusta; Antonín Černoch; Miloslav Dušek

doi:10.1117/12.638784

6 December 2006 How quantum correlations enhance prediction of complementary measurements

Radim Filip, Miroslav Gavenda, Jan Soubusta, Antonín Černoch, Miloslav Dušek

Proceedings Volume 5945, 14th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics; 594504 (2006) https://doi.org/10.1117/12.638784
Event: 14th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 2005, Nitra, Slovakia

Abstract

If there are correlations between two qubits then the results of the measurement on one of them can help to predict measurement results on the other one. It is an interesting question what can be predicted about the results of two complementary projective measurements on the first qubit. To quantify these predictions the complementary knowledge excesses are used. A non-trivial constraint restricting them is derived. For any mixed state and for arbitrary measurements the knowledge excesses are bounded by a factor depending only on the maximal violation of Bell's inequalities. This result is experimentally verified on two-photon Werner states prepared by means of spontaneous parametric down-conversion.

Citation Download Citation

Radim Filip, Miroslav Gavenda, Jan Soubusta, Antonín Černoch, and Miloslav Dušek "How quantum correlations enhance prediction of complementary measurements", Proc. SPIE 5945, 14th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 594504 (6 December 2006); https://doi.org/10.1117/12.638784

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