.
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: 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
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)
Captions provided by CCTubes – Captioning the Internet! 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: 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
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
