Author

Zhong-Xia Shang

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Preprint Sep 2026

From Simple Sources to Quantum Advantage: Homomorphic Polynomial Transduction via Relative Decoding

Decoded quantum interferometry (DQI) and its Hamiltonian extension (HDQI) prepare states whose amplitudes are low-degree polynomials of an objective, using Fourier transforms and coherent decoding. We recast this approach as quantum state transduction through algebra homomorphisms. We transfer an efficiently preparable...

Zhong-Xia Shang, Daniel Stilck França · 0 citations

Preprint Sep 2026

A Simple Quantum Linear-System Solver via Dissipation

Dissipation has been recently demonstrated as a powerful primitive for designing quantum algorithms. We apply this viewpoint directly to linear-system solving, $Ax=b$. We construct a simple purely dissipative Lindbladian whose unique fixed point encodes the linear-system solution. We prove dimension-independent trace-d...

Zhong-Xia Shang · 3 citations