Quantifying coherence of quantum measurements

• URL: http://arxiv.org/abs/2008.03999v1
• Date: Mon, 10 Aug 2020 09:57:28 GMT
• Title: Quantifying coherence of quantum measurements
• Authors: Kyunghyun Baek, Adel Sohbi, Jaehak Lee, Jaewan Kim, Hyunchul Nha
• Abstract summary: We show that any statistical distance can be adopted to define a coherence monotone of measurement. We specifically introduce a coherence monotone of measurement in terms of off-diagonal elements of Positive-Operator-Valued Measure (POVM) components.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 (POVM) 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.

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