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arXiv · 2503.18696

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

Nhat A. Nghiem
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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.

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Nhat A. Nghiem. 2025-03-24. Quantum Advantage in Testing (Local) Convexity and Monotonicity of Function. https://arxiv.org/abs/2503.18696

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