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Bibliographic Details
Main Authors: Liu, HongZheng, Tian, YiNuo, Wu, Zhiyue
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.03781
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Table of Contents:
  • This work aims to quantify the physical cost of generating non-local entanglement in systems governed by local interactions. By unifying the quantum speed limit and Lieb-Robinson bounds, we establish an "energy-entanglement performance equation." This framework connects theoretical computational complexity with experimental observables by introducing a measurable proxy for complexity, thereby revealing a performance trade-off among the "energy variance-entanglement product," the strength of local interactions, and dynamical efficiency. Our work not only defines a "performance frontier"-constrained by theoretical bounds and amenable to experimental benchmarking-but also provides a novel diagnostic tool for identifying the performance bottlenecks of a process.