js65金沙线路总站学术讲座（第六十三期）

报告人:  杨志成 助理教授（北京大学）

题   目：Stabilizer Entanglement Enhances Magic Injection

地   点：中山大学南校园550栋二楼报告厅

时   间：2025年11月20日（星期四）下午14:30

主持人：叶鹏 教授

报告摘要：

Non-stabilizerness is a key resource for fault-tolerant quantum computation, yet its interplay with entanglement in dynamical settings remains underexplored. We address this by analyzing a well-controlled, analytically tractable setup, where we show that entanglement acts as a conduit that teleports magic across the system, thereby enhancing magic injection. Using exact calculations, we prove that when a Haar-random unitary $U_A$ is applied to a subsystem $A$ of an entangled stabilizer state, the total injected magic increases with the entanglement between $A$ and its complement. More generally, for any unitary $U_A$, we show that this enhancement is maximized when $A$ is maximally entangled with its complement, in which case the total injected magic is exactly given by the unitary stabilizer R\'enyi entropy we introduce. This quantity provides both a directly computable measure of unitary magic and a lower bound on the minimum number of $T$ gates required to synthesize $U_A$. We further extend our analysis to tripartite stabilizer entanglement, non-stabilizer entanglement, and magic injection via shallow-depth brickwork circuits, finding that the qualitative picture remains unchanged.
 

报告人简介：

Zhi-Cheng Yang is an assistant professor at School of Physics, Peking University. He received B.S. in physics from Peking University in 2013, and Ph.D. in physics from Boston University in 2019, supervised by Claudio Chamon. He then moved to University of Maryland College Park as a Postdoctoral Researcher, before joining the current position in 2022.