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Open Quantum Systems Decoherence Quantum Machine Learning

A proposal to characterize and quantify superoscillations

arXiv
Authors: Yu Li, José Polo-Gómez, Eduardo Martín-Martínez

Year

2023

Paper ID

6465

Status

Preprint

Abstract Read

~2 min

Abstract Words

51

Citations

N/A

Abstract

We present a formal definition of superoscillating function. We discuss the limitations of previously proposed definitions and illustrate that they do not cover the full gamut of superoscillatory behaviours. We demonstrate the suitability of the new proposal with several examples of well-known superoscillating functions that were not encompassed by previous definitions.

Why This Paper Matters

  • This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • We present a formal definition of superoscillating function.

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