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quant-ph2025
Quantum Higher Order Fourier Analysis and the Clifford Hierarchy
Kaifeng Bu, Weichen Gu, Arthur Jaffe
We propose a mathematical framework that we call quantum, higher-order Fourier analysis. This generalizes the classical theory of higher-order Fourier analysis, which led to many a…
quant-ph2025
Decoded Quantum Interferometry Under Noise
Kaifeng Bu, Weichen Gu, Dax Enshan Koh +1
Decoded Quantum Interferometry (DQI) is a recently proposed quantum optimization algorithm that exploits sparsity in the Fourier spectrum of objective functions, with the potential…
quant-ph2025
Quantum locally recoverable code with intersecting recovery sets
Kaifeng Bu, Weichen Gu, Xiang Li
We introduce the concept of quantum locally recoverable codes (qLRCs) with intersecting recovery sets. We derive a singleton-like bound for these codes by leveraging the additional…