一般化Zurek的约束在一个个体的经典或量子计算的成本
1Universal Biology Institute, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan.
Physical review. E
|October 18, 2023
概括
我们得出了计算的最小热力学成本,将科尔摩戈罗夫复杂性与热量,噪声和协议复杂性联系起来. 这为所有量子和经典过程提供了一个通用的边界.
科学领域:
- 热力学是一种热力学.
- 信息理论 信息理论
- 量子计算是一种量子计算.
背景情况:
- 祖雷克的先前工作提出了条件的科尔摩戈罗夫复杂度K ((x daksy) 作为计算的最小热力学成本.
- 这一先前的结果有局限性:非正式的导出,限制在确定性计算和任意协议依赖.
研究的目的:
- 为最小的热力学计算成本推导一个通用和严格的边界.
- 将 Zurek 的边界扩展到所有量子和经典过程中,包括杂和决定性的过程.
主要方法:
- 使用了随机热力学和严格的哈密尔顿式.
- 开发了适用于各种计算过程的通用界限.
主要成果:
- 建立了一个通用的热力学成本绑定计算,K (((x
- 证明这种成本是热量,噪音和协议复杂性之间的权衡.
- 展示了对所选择的协议的明确依赖.
结论:
- 计算的最小热力学成本从根本上与信息理论措施有关.
- 这些发现对热力学第二定律和物理教会-图灵论文有影响.
- 这项工作为理解古典和量子系统的计算热力学提供了一个统一的框架.
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