The No Cloning Theorem

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by Super User, 7 months ago
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Why you can’t clone Schrödinger’s cat: this video presents the full proof of the “No Cloning” Theorem in Quantum Mechanics – without any fancy math! (stereotypical qubit has been replaced with Schrödinger’s cat).

The full proof relies on the linearity of quantum (aka unitary) transformations, and the tensor product of multiple systems, to show that perfect cloning is impossible (though teleportation is allowed)

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REFERENCES:

The No-Cloning Theorem: https://en.wikipedia.org/wiki/No-cloning_theorem

MinutePhysics on Schrödinger’s Cat: https://www.youtube.com/watch?v=IOYyCHGWJq4

Original No-Cloning Paper by Wootters and Zurech: http://www.nature.com/nature/journal/v299/n5886/abs/299802a0.html

Original “Beyond No-Cloning” (ie, no-cloning workarounds) paper by Buzek & Hillery: https://arxiv.org/abs/quant-ph/9607018

Optimal Quantum Cloning paper: https://arxiv.org/abs/quant-ph/9801009

Optimal Quantum Cloning paper II: https://arxiv.org/abs/quant-ph/9910048

Quantum Cloning: https://en.wikipedia.org/wiki/Quantum\_cloning

The History of Schrödinger’s (& Einstein’s) Cat: http://nautil.us/issue/41/selection/how-einstein-and-schrdinger-conspired-to-kill-a-cat

The Stability of Black Powder (from the Civil War!): http://www.jpyro.com/wp-content/uploads/2012/08/Kos-806-806.pdf

Proof by contradiction: http://www.personal.kent.edu/\~rmuhamma/Philosophy/Logic/ProofTheory/proof\_by\_contradictionExamples.htm

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