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Xiao-Ming Zhang

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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
Review Sep 2026

From Bits to Qubits: The Theory and Practice of Quantum Data Encoding

Encoding classical data into quantum systems is a foundational step in the execution of nearly all quantum algorithms, and a critical bottleneck in realizing practical quantum advantage. This review provides a comprehensive account of the concepts, algorithms, and practical considerations associated with quantum data e...

Xiao-Ming Zhang, Arthur G. Rattew, Bu-Jiao Wu et al. · 2 citations
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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