Author

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

This review provides a comprehensive account of the concepts, algorithms, and practical considerations associated with quantum data encoding, tracing the development from its early conceptual foundations to recent advances, considering commonly used access models, such as quantum state preparation, unitary synthesis, Q...

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