Geodesic
Metric on the Space of Quantum Processes
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Noncommutative Analysis and Quantum Information Theory, Tome 324 (2024), pp. 179-187

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We consider a metric $D$ describing the difference between real (noisy) and ideal processes that is based on the operator norm of the maximum deviation between the final real and ideal states of a quantum system. We discuss the properties as well as geometric and experimental interpretations of the metric.
Keywords: decoherence, quantum channels, decoherence metric, operator norm, noise level estimation. 
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     author = {E. A. Pankovets and L. E. Fedichkin},
     title = {Metric on the {Space} of {Quantum} {Processes}},
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E. A. Pankovets; L. E. Fedichkin. Metric on the Space of Quantum Processes. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Noncommutative Analysis and Quantum Information Theory, Tome 324 (2024), pp. 179-187. http://geodesic.mathdoc.fr/item/TM_2024_324_a15/