Published in arXiv preprint, 2026
Introduces cross-entropy quantum causal influence to quantify exotic causal structures in monitored dynamics, including inverted light cones and state-dependent arrows of time.
Recommended citation: Hong-Yi Wang, Haifeng Tang, and Xiao-Liang Qi. "Measuring unconventional causal structures in monitored dynamics." arXiv:2601.12271 (2026).
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Published in arXiv preprint (accepted to ICLR 2026), 2025
Proves that generic permutation-invariant functions can be compressed to polylogarithmic size, yielding a theoretical foundation for the dynamical lottery ticket hypothesis and faster neural scaling laws.
Recommended citation: Hong-Yi Wang, Di Luo, Tomaso Poggio, Isaac L. Chuang, and Liu Ziyin. "A universal compression theory for lottery ticket hypothesis and neural scaling laws." arXiv:2510.00504 (2025). Accepted to ICLR 2026.
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Published in arXiv preprint, 2025
Maps entanglement evolution in random circuits to a classical spin problem, yielding analytic control of measurement-induced scrambling, measurement-only transitions, and emergent continuous symmetries.
Recommended citation: Haifeng Tang, Hong-Yi Wang, Zhong Wang, and Xiao-Liang Qi. "Measurement induced scrambling and emergent symmetries in random circuits." arXiv:2506.18121 (2025).
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Published in arXiv preprint, 2025
Introduces a post-selection-free strategy based on quantum singular value transformation to deterministically simulate post-selected states and measure nonlinear quantum observables more efficiently.
Recommended citation: Hong-Yi Wang. "Relieving the post-selection problem by quantum singular value transformation." arXiv:2504.00108 (2025).
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Published in arXiv preprint, 2024
Shows that a broad class of non-Hermitian models have spectra that are exponentially sensitive even to local boundary perturbations, and relates this fragility to unconventional V-shaped Green’s functions.
Recommended citation: Fei Song*, Hong-Yi Wang*, and Zhong Wang. "Fragile non-Bloch spectrum and unconventional Green's function." arXiv:2410.23175 (2024).
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Published in Physical Review X, 2024
Develops an amoeba-based formulation of non-Bloch band theory in arbitrary spatial dimensions, providing a practical framework for spectra, eigenstate profiles, and generalized Brillouin zones beyond one dimension.
Recommended citation: Hong-Yi Wang, Fei Song, and Zhong Wang. "Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions." Physical Review X 14, 021011 (2024).
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Published in Physical Review Letters, 2024
Identifies cusp formation in the generalized Brillouin zone as the mechanism behind non-Bloch PT symmetry breaking and derives an exact formula for the breaking threshold.
Recommended citation: Yu-Min Hu, Hong-Yi Wang, Zhong Wang, and Fei Song. "Geometric Origin of Non-Bloch PT Symmetry Breaking." Physical Review Letters 132, 050402 (2024).
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Published in A Festschrift in Honor of the C N Yang Centenary, 2022
Shows that in two and higher dimensions the non-Bloch PT-breaking threshold universally approaches zero with system size, revealing an unexpected dimensional effect in non-Hermitian systems.
Recommended citation: Fei Song, Hong-Yi Wang, and Zhong Wang. "Non-Bloch PT Symmetry Breaking: Universal Threshold and Dimensional Surprise." A Festschrift in Honor of the C N Yang Centenary, pp. 299-311 (2022).
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