Author

Yi-Bin Wang

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Preprint Aug 2026

Zero-Energy Problems for Supersymmetric Hamiltonians on a Chain Are $\mathrm{QMA}_1$-Complete

We determine the computational complexity of deciding whether a supersymmetric quantum system on a one-dimensional chain has a zero-energy ground state. We prove $\mathrm{QMA}_1$-completeness for two input models, formulated in terms of Hermitian and nilpotent supercharges, respectively. In the Hermitian model, both th...

Yi-Bin Wang · 1 citation

Preprint Sep 2026

A Quantum Algorithm for the Radical of a Lie Algebra: Kernel Projection and Conditioning

Every finite-dimensional real or complex Lie algebra has a largest solvable ideal, its radical. In the compact dynamical Lie algebra (DLA) of a closed quantum system, this radical is the center; projecting onto it isolates directions that commute with the supplied algebra. With sparse Lie-bracket data and a known spect...

Yi-Bin Wang · 0 citations

#machine learning Preprint Oct 2026

Sequential Capacity of Quantum Processes with Finite Memory

How complex can the responses of a quantum device become as it runs longer with a fixed internal memory? We quantify this complexity through sequential response capacity: how many adaptive testing stages, each using a fresh run, can continue to separate possible processes by a prescribed gap in response probabilities....

Yi-Bin Wang · 0 citations