The Cost of Nonlocality: A Dynamical Performance Equation of Energy-Entanglement-Complexity
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918115699326976 |
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| author | Liu, HongZheng Tian, YiNuo Wu, Zhiyue |
| author_facet | Liu, HongZheng Tian, YiNuo Wu, Zhiyue |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03781 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Cost of Nonlocality: A Dynamical Performance Equation of Energy-Entanglement-Complexity Liu, HongZheng Tian, YiNuo Wu, Zhiyue Quantum Physics Statistical Mechanics 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. |
| title | The Cost of Nonlocality: A Dynamical Performance Equation of Energy-Entanglement-Complexity |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2508.03781 |