Quantifying coherence of quantum measurements

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 relat...

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Bibliographic Details
Published in:New journal of physics 2020-09, Vol.22 (9), p.93019
Main Authors: Baek, Kyunghyun, Sohbi, Adel, Lee, Jaehak, Kim, Jaewan, Nha, Hyunchul
Format: Article
Language:English
Subjects:
Coherence
Lower bounds
Microprocessors
Physics
quantum coherence
quantum foundations
quantum information
quantum measurements
Qubits (quantum computing)
resource theories
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Summary: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.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/abad7e