Turing’s thinking machine and ’t Hooft’s principle of superposition of states

分类： 物理学 >> 普通物理:统计和量子力学,量子信息等 分类： 计算机科学 >> 计算机科学技术其他学科 提交时间： 2024-05-14

Zeqian Chen

摘要： In his 1950 paper 11 , Turing proposed the notion of a thinking machine, namely a machine that can think. But a thinking machine has to follow a certain law of physics, provided it is realized physically. In this paper, we show that Turing’s thinking machine necessrily obeys ’t Hooft’s principle of superposition of states, which was presented by ’t Hooft 8 in 2016 beyond the usual one as described by Dirac 4 in the conventional quantum mechanics. Precisely, Turing’s thinking machine must be a quantum machine, while ’t Hooft’s principle characterizes its thinking behavior in a probabilistic way.

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