Measuring Incompatible Observables by Exploiting Sequential Weak Values.
One of the most intriguing aspects of quantum mechanics is the impossibility of measuring at the same time observables corresponding to noncommuting operators, because of quantum uncertainty. This impossibility can be partially relaxed when considering joint or sequential weak value evaluation. Indeed, weak value measurements have been a real breakthrough in the quantum measurement framework that is of the utmost interest from both a fundamental and an applicative point of view. In this Letter, we show how we realized for the first time a sequential weak value evaluation of two incompatible observables using a genuine single-photon experiment. These (sometimes anomalous) sequential weak values revealed the single-operator weak values, as well as the local correlation between them.
INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
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Piacentini
INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
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Avella
INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
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Levi
INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
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Gramegna
INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
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Brida
INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
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Degiovanni
Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom.
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Cohen
Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.
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Lussana
Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.
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Villa
Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.
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Tosi
Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.
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Zappa
INRIM, Strada delle Cacce 91, I-10135 Torino, Italy and INFN, Via P. Giuria 1, I-10125 Torino, Italy.
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Genovese