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arXiv:quant-ph/0205076 · Fortschritte der Physik

How the no‐cloning theorem got its name

Asher Peres

Published Apr 24, 2003• 79 citations
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Abstract

Abstract I was the referee who approved the publication of Nick Herbert's FLASH paper, knowing perfectly well that it was wrong. I explain why my decision was the correct one, and I briefly review the progress to which it led.
DOI
10.1002/prop.200310062

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Comment on "How the No-Cloning Theorem Got its Name"

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A review by A. Peres [quant-ph/0205076] appears recently. It is difficult to add something to such kind of fundamental themes, but here is briefly presented some ideas about challenges of the no-cloning theorem and imaginary modifications of quantum mechanics, that could make precise cloning possible.

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The no-cloning theorem has always been a hot topic in quantum theorem: As an impossibility result, this theorem precludes attempts to communicated faster than light and reinforces the security of several quantum cryptography protocol. In this survey, I will briefly introduce the history of quantum no-cloning theorem–how the thesis was invented, how did it get its name; And i would also discuss the hitherto progress on no-cloning theorem, several approach of none-perfect cloning on non-orthogonal states as well as the application of quantum no-cloning theorem in quantum cryptography and quantum information. This survey incorporates the lecture ”Quantum Information Amplifiers Beyond the No-Cloning Theorem” given by Prof. Giulio Chiribella and ”Quantum cryptography” given by Prof. Xiongfeng Ma.

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The paper is a Chapter of a book. In it an exhaustive review of the proposals to send faster than light signals resorting to quantum nonlocality and the reduction process is presented, together with a critical analysis and rebuttal of all proposals. The most interesting part of the Chapter is the one in which the problem of quantum cloning is discussed. Actually, a proposal of superluminal signaling based on an hypothetical cloning machine has been presented by N. Herbert. The proposal does not work just because of the assumption that one can clone nonorthogonal states. The fact that such a machine is incompatible with quantum theory (i.e., the so-called No-Cloning Theorem) has been proved, for the first time, by the author of the present chapter in his referee's report to Herbert's paper. In the final part of the paper some recent (different but similarly not correct) proposals are analyzed and the reasons for which they are basically wrong are presented.
The no-cloning theorem has always been a hot topic in quantum theorem: As an impossibility result, this theorem precludes attempts to communicated faster than light and reinforces the security of several quantum cryptography protocol. In this survey, I will briefly introduce the history of quantum no-cloning theorem–how the thesis was invented, how did it get its name; And i would also discuss the hitherto progress on no-cloning theorem, several approach of none-perfect cloning on non-orthogonal states as well as the application of quantum no-cloning theorem in quantum cryptography and quantum information. This survey incorporates the lecture ”Quantum Information Amplifiers Beyond the No-Cloning Theorem” given by Prof. Giulio Chiribella and ”Quantum cryptography” given by Prof. Xiongfeng Ma.