Author

Zhe-Yu Shen

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Preprint Oct 2026

Quantum Algorithms for Multivariable Polynomial Transformations: From Efficient Synthesis to Quantum Channel Transformations

Polynomial transformations are basic primitives in quantum algorithms: quantum signal processing and singular value transformation compile univariate polynomials into circuits with query complexity essentially set by degree. Multivariable transformations of noncommuting matrices, however, lack a comparable synthesis th...

Zhe-Yu Shen, Yu-Sen Wu, Xiao Yuan et al. · 0 citations

Preprint Oct 2026

Shallow Quantum Circuits for Geometrically Local Lindblad Dynamics

A depth lower bound of $\Omega(\log n/\log\log n)$, showing that global accuracy can require increasing depth as the lattice grows, and unconditional worst-case lower bounds using time-independent, purely dissipative processes that transport quantum information are proved.

Zhe-Yu Shen, Yu-Sen Wu, Xiao Yuan et al. · 0 citations

Preprint Oct 2026

Toward Optimal Circuit Depth for Geometrically Local Hamiltonian Simulation

Understanding the dynamics of interacting quantum systems is a central goal of quantum simulation. For geometrically local Hamiltonians, locality suggests that digital simulation should retain much of the parallelism of the underlying dynamics. For a target accuracy $\epsilon$, we construct a nearest-neighbor quantum c...

Zhe-Yu Shen, Yu-Sen Wu, Peng-Hui Yao et al. · 0 citations