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Quantifying coherence of quantum measurements
- Publication Year :
- 2020
- Publisher :
- arXiv, 2020.
-
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 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.
- Subjects :
- Physics
Quantum Physics
Statistical distance
Kullback–Leibler divergence
Measure (physics)
General Physics and Astronomy
FOS: Physical sciences
Coherence (statistics)
01 natural sciences
010305 fluids & plasmas
POVM
Monotone polygon
Qubit
0103 physical sciences
Quantum information
010306 general physics
Quantum Physics (quant-ph)
Algorithm
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....58cd5d2c68ba74c56c5d874e8ef5382d
- Full Text :
- https://doi.org/10.48550/arxiv.2008.03999