Quantum Advantage in Testing (Local) Convexity and Monotonicity of Function

It is shown that a quantum computer can test the convexity and monotonicity of a given function exponentially more efficiently than a classical computer. This establishes another prominent example that showcases the potential of quantum computers in function-related problems, which can be practical in functional optimization.

Publication Details

Journal
ArXiv.org
Published
2025-03-24
Primary Topic
Quantum Computing Algorithms and Architecture
Type
article
Field-Weighted Citation Impact
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article

Quantum Advantage in Testing (Local) Convexity and Monotonicity of Function

ArXiv.org
Quantum Computing Algorithms and Architecture
article

Quantum Advantage in Testing (Local) Convexity and Monotonicity of Function

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Abstract

It is shown that a quantum computer can test the convexity and monotonicity of a given function exponentially more efficiently than a classical computer. This establishes another prominent example that showcases the potential of quantum computers in function-related problems, which can be practical in functional optimization.

ArXiv.org
Openalex Percentile: Top 73%
Quantum Computing Algorithms and Architecture
Open Access PDFOpenAlex
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Quantum Advantage in Testing (Local) Convexity and Monotonicity of Function · ArXiv.org (2025) | TGRS Research Map | TGRS