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Yukun Zhang

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Preprint Oct 2026

Shallow Quantum Circuits for Geometrically Local Lindblad Dynamics

Open-system dynamics govern decoherence, transport, and engineered dissipation in quantum many-body systems. We propose a quantum algorithm for simulating time-independent, finite-range Lindblad dynamics with bounded local strength on a constant-dimensional lattice of $n$ sites, allowing noncommuting jump operators. Fo...

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
Preprint Jul 2026

Efficient Lindbladian Learning from Constant-Time Pauli Responses

Learning the generator of an open many-body system is more challenging than Hamiltonian learning: local responses, which can directly reveal coherent interaction terms in closed-system dynamics, may also contain dissipative contributions in open-system dynamics. In this paper, we address this challenge by developing an...

Jiaxing Song, Yu-Kun Zhang, Xiao Yuan et al. · 2 citations · ⚡1
Preprint Aug 2026

Quantum Advantage with Adaptive Shallow Circuits

Quantum advantage is widely expected to require sufficiently deep circuits, where correlations and global computational structure can grow beyond the reach of efficient classical simulation. This expectation is especially stark for constant-depth circuits with local readout: the expectation value of any fixed local obs...

Yu-Sen Wu, Yu-Kun Zhang, Xiao-Ming Zhang et al. · 1 citation

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