Quartic Quantum Speedups for Planted Inference

We describe a quantum algorithm for the Planted Noisy kXOR Problem (also known as Sparse Learning Parity with Noise) that achieves a nearly quartic (fourth-power) speedup over the best known classical algorithm while using exponentially less space. Our work generalizes and simplifies prior work of H...

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Bibliographic Details
Main Authors: Alexander Schmidhuber, Ryan O’Donnell, Robin Kothari, Ryan Babbush
Format: Article
Language:English
Published: American Physical Society 2025-06-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.15.021077
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