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Author

Shuo Liu

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Preprint Sep 2026

Entanglement Embezzlement from Diffusive Hydrodynamics

Entanglement embezzlement asks how much entanglement can be borrowed from a many-body state by local operations and classical communication while returning that state with a small error. We uncover a conservation-law mechanism that redistributes the dominant probability mass of the Schmidt spectrum in the logarithmic S...

Shi-Xin Zhang, Shuo Liu, Yu-Qin Chen · 1 citation
Preprint Sep 2026

Entanglement Growth as Transport Across Schmidt Scales

Quantum entanglement growth is commonly summarized by a single entropy, obscuring where correlations reside in the exponentially large Schmidt spectrum and how they form. Here, we introduce Schmidt-scale concentration and dominant Schmidt scale, two coordinates that locate the probability maximum across logarithmic win...

Shi-Xin Zhang, Shuo Liu, Yu-Qin Chen · 4 citations
Preprint Jul 2026

Measurement-induced phase transition in space

Measurement-induced phase transitions (MIPTs) in monitored quantum circuits are usually characterized by preparing steady states at different uniform measurement probabilities. Here we introduce a spatial realization of the MIPT by imposing a deterministic measurement gradient in a single monitored Clifford chain. The...

Jiaqiang Li, L. Zhai, Shuo Liu et al. · 1 citation
Preprint Jul 2026

Revealing Entanglement-Growth Mechanisms through the Magic Barrier

Quantum entanglement and magic are complementary resources underlying quantum computational advantage, yet their dynamical relation in many-body systems remains poorly understood. In this Letter, we show that the mechanism of bipartite entanglement growth is encoded in the relative timescale between the entropy-growth-...

Lv Zhang, Shi-Xin Zhang, Heng Fan et al. · 3 citations

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