克隆在经典力学中的局限性
Limitations on Cloning in Classical Mechanics
摘要:
在这篇文章中,我们证明了一个精确地类似于传统量子不可克隆定理的结果在经典力学中成立。我们认为,这个经典的不可克隆定理并不禁止经典克隆,因为它是基于一个过于严格的克隆定义。使用一个不太流行的,更具包容性的克隆定义,我们给经典的克隆过程的例子。我们还证明了克隆机必须至少像它要克隆的对象一样复杂。
英文摘要:
In this paper, we show that a result precisely analogous to the traditional quantum no-cloning theorem holds in classical mechanics. This classical no-cloning theorem does not prohibit classical cloning, we argue, because it is based on a too-restrictive definition of cloning. Using a less popular, more inclusive definition of cloning, we give examples of classical cloning processes. We also prove that a cloning machine must be at least as complicated as the object it is supposed to clone.
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