2016-12-27

[public] 2.26M views, 85.9K likes, 1.68K dislikes audio only

minutephysics

Support MinutePhysics on Patreon: http://www.patreon.com/minutephysics

Three Blue One Brown: https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw

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/supporters.html

REFERENCES:

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

MinutePhysics on Schrödinger’s Cat: /youtube/video/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

MinutePhysics is on Google+ - http://bit.ly/qzEwc6

And facebook - http://facebook.com/minutephysics

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