Nicholas Lyu

Nicholas Lyu

Harvard '25. Quantitative Researcher at Jane Street.

Research

Journal Articles

Displaced Fermionic Gaussian States and their Classical Simulation

Published on Journal of Physics A: Mathematical and Theoretical, 2025

This work extends fermionic Gaussian theory by studying the displaced (nonzero mean) case, resulting in extended matchgate classical simulation, wider applicability of fermionic convolution, and a more generalized understanding of fermionic Gaussian computation beyond the constraint of parity super-selection. Click on the section title to see details.

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Fermionic Gaussian Testing and Non-Gaussian Measures via Convolution

Published on arXiv, 2024

This work defines fermionic quantum convolution and demonstrates the unique entropy-invariance of fermionic Gaussian states under convolution. It demonstrates that many desirable classical statistical and information-theoretic properties of Gaussian states and convolution have counterparts in the fermionic quantum algebra. Click on the section title to see details.

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