来自比特：量子复杂性是否存在第二定律？
`It from Bit': is there a second law of quantum complexity?
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中文总结 AI 辅助
本文探讨准静态信息量子化规则对量子复杂性第二定律的意义，推导得出热寂后量子态复杂性的演化规律，同时指出非平衡情况下量子复杂性可随时间减小并渐近趋于最小值。
中文摘要 AI 辅助
在更深层次上，最小作用量原理被解释为与普里戈金的最小熵产生原理一致的最小熵增定律，本文探讨了准静态信息量子化规则（《英国皇家学会会刊A辑》480卷：20240024）对推测的量子复杂性第二定律的意义。研究表明，推测的复杂性第二定律可由信息量子化规则推导得出：热寂很久之后，量子态复杂性按$C(t)=C_{\rm max}\exp(-1/t)$演化，随时间增加至饱和值$C_{\rm max}$，该值与平衡熵$S_{\rm max}$呈指数关系。但对于非平衡情况，量子复杂性可随时间减小，渐近趋于由距平衡距离决定的最小值。
英文摘要
At a deeper level the principle of least action is interpreted as the law of least entropy increase consistent with Prigogine's principle of minimum entropy production, and the implications of quasistatic information quantization rule (Proc. R. Soc. A 480: 20240024), are explored for the conjectured second law of quantum complexity. It is thus shown that the conjectured second law of complexity is derivable from the information quantization rule such that long after heat-death the quantum state complexity evolves as $C(t)=C_{\rm max}\exp(-1/t)$, increasing with time to a saturation value $C_{\rm max}$ that is exponential in the equilibrium entropy $S_{\rm max}$. For the out-of-equilibrium circumstances, however, the quantum complexity can decrease with the time, asymptotically tending to a minimum determined by the distance from equilibrium.
