Eur. Phys. J. D (2015) 69: 7
https://doi.org/10.1140/epjd/e2014-50425-7

Regular Article

The data aggregation problem in quantum hypothesis testing

¹ Dipartimento di Fisica dell’Università degli Studi di Milano, 20133 Milano, Italia
² INFN, Sezione di Milano, 20133 Milano, Italy
³ CNISM, UdR Milano Statale, 20133 Milano, Italy

^a e-mail: matteo.paris@fisica.unimi.it

Received: 4 June 2014
Received in final form: 27 October 2014
Published online: 8 January 2015

Abstract

We discuss the implications of quantum-classical Yule-Simpson effect for quantum hypothesis testing in the presence of noise, and provide an experimental demonstration of its occurrence in the problem of discriminating which polarization quantum measurement has been actually performed by a detector box designed to measure linear polarization of single-photon states along a fixed but unknown direction.