Quantifying coherence of quantum measurements

Autor: Kyunghyun Baek, Adel Sohbi, Jaehak Lee, Jaewan Kim, Hyunchul Nha
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: New Journal of Physics, Vol 22, Iss 9, p 093019 (2020)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/abad7e
Popis: In this work we investigate how to quantify the coherence of quantum measurements. First, we establish a resource theoretical framework to address the coherence of measurement and show that any statistical distance can be adopted to define a coherence monotone of measurement. For instance, the relative entropy fulfills all the required properties as a proper monotone. We specifically introduce a coherence monotone of measurement in terms of off-diagonal elements of positive-operator-valued measure components. This quantification provides a lower bound on the robustness of measurement-coherence that has an operational meaning as the maximal advantage over all incoherent measurements in state discrimination tasks. Finally, we propose an experimental scheme to assess our quantification of measurement-coherence and demonstrate it by performing an experiment using a single qubit on IBM Q processor.
Databáze: Directory of Open Access Journals