Direct quantum process tomography via measuring sequential weak values of incompatible observables

Yosep Kim, Yong-Su Kim, Sang-Yun Lee, Sang-Wook Han, Sung Moon, Yoon-Ho Kim () and Young-Wook Cho ()
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Yosep Kim: Pohang University of Science and Technology (POSTECH)
Yong-Su Kim: Korea Institute of Science and Technology (KIST)
Sang-Yun Lee: Korea Institute of Science and Technology (KIST)
Sang-Wook Han: Korea Institute of Science and Technology (KIST)
Sung Moon: Korea Institute of Science and Technology (KIST)
Yoon-Ho Kim: Pohang University of Science and Technology (POSTECH)
Young-Wook Cho: Korea Institute of Science and Technology (KIST)

Nature Communications, 2018, vol. 9, issue 1, 1-6

Abstract: Abstract The weak value concept has enabled fundamental studies of quantum measurement and, recently, found potential applications in quantum and classical metrology. However, most weak value experiments reported to date do not require quantum mechanical descriptions, as they only exploit the classical wave nature of the physical systems. In this work, we demonstrate measurement of the sequential weak value of two incompatible observables by making use of two-photon quantum interference so that the results can only be explained quantum physically. We then demonstrate that the sequential weak value measurement can be used to perform direct quantum process tomography of a qubit channel. Our work not only demonstrates the quantum nature of weak values but also presents potential new applications of weak values in analyzing quantum channels and operations.

Date: 2018
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DOI: 10.1038/s41467-017-02511-2

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