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The No Cloning Theorem

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Published on Dec 27, 2016

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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)

Thanks to everyone who supports MinutePhysics on Patreon!
Link to Patreon supporters here: http://www.minutephysics.com/supporte...

REFERENCES:

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

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

Original No-Cloning Paper by Wootters and Zurech: http://www.nature.com/nature/journal/...

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/h...

The Stability of Black Powder (from the Civil War!): http://www.jpyro.com/wp-content/uploa...

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

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And twitter - @minutephysics

Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute!

Created by Henry Reich
Music by Nathaniel Schroeder

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