克里洛夫扩散复杂性作为全息复杂性超越了雅基夫-泰特尔博伊姆重力
Michal P Heller1, Jacopo Papalini1, Tim Schuhmann1
1Ghent University, Department of Physics and Astronomy, 9000 Ghent, Belgium.
Physical review letters
|October 25, 2025
概括
研究人员发现Sachdev-Ye-Kitaev (SYK) 模型中的量子复杂性与重力中的复杂性=体积命题之间的定量匹配. 这扩展到有限的温度和量子体制,揭示了对全息复杂性的量子校正.
科学领域:
- 量子引力就是量子引力.
- 量子信息理论 量子信息理论
- 黑洞物理学 黑洞物理学
背景情况:
- 全息复杂性建议缺乏双重解释,只有萨赫德夫-耶-基塔耶夫 (SYK) 模型显示了与复杂性=体积 (CV) 建议的定量匹配.
- CV提案将引力复杂性与黑洞内部空间切片的体积联系起来.
研究的目的:
- 扩展克里洛夫分布复杂性和CV提案之间的定量匹配到有限的温度和完整的量子体制.
- 调查CV提案的量子校正及其在批量量子场理论背景下的解释.
主要方法:
- 利用双尺度SYK模型与正弦拓展引力之间的联系.
- 在有限温度下分析SYK模型中的克里洛夫扩散复杂性.
- 在Jackiw-Teitelboim重力中计算CV提案的量子校正.
主要成果:
- 克里洛夫扩散复杂度和CV命题之间的定量关系在有限的温度下和在磁盘层面的完整量子状态下保持.
- 对CV提案的第一个量子校正被孤立并解释为批量量子场的复杂性.
- 一个关键的发现是,重力需要将复杂性赋予欧几里德状态准备.
结论:
- 这项研究在量子信息理论复杂性和全息引力之间建立了强有力的联系,扩展了之前的发现.
- 量子校正为量子引力的复杂性提供了新的见解.
- 结果表明对量子黑洞有更深入的理解,全息原理可以通过这些复杂度测量来实现.
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