The No Cloning Theorem
2,474,987
Published 2016-12-27
Three Blue One Brown: / @3blue1brown
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: www.minutephysics.com/supporters.html
REFERENCES:
The No-Cloning Theorem: en.wikipedia.org/wiki/No-cloning_theorem
MinutePhysics on Schrödinger’s Cat: • Schrödinger's Cat
Original No-Cloning Paper by Wootters and Zurech: www.nature.com/nature/journal/v299/n5886/abs/29980…
Original “Beyond No-Cloning” (ie, no-cloning workarounds) paper by Buzek & Hillery: arxiv.org/abs/quant-ph/9607018
Optimal Quantum Cloning paper: arxiv.org/abs/quant-ph/9801009
Optimal Quantum Cloning paper II: arxiv.org/abs/quant-ph/9910048
Quantum Cloning: en.wikipedia.org/wiki/Quantum\_cloning
The History of Schrödinger’s (& Einstein’s) Cat: nautil.us/issue/41/selection/how-einstein-and-schr…
The Stability of Black Powder (from the Civil War!): www.jpyro.com/wp-content/uploads/2012/08/Kos-806-8…
Proof by contradiction: www.personal.kent.edu/\~rmuhamma/Philosophy/Logic/ProofTheory/proof\_by\_contradictionExamples.htm
MinutePhysics is on Google+ - bit.ly/qzEwc6
And facebook - 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
All Comments (21)
-
Hello everyone! I am back from a 2+year comment hiatus and excited to say hi! (my account wasn't linked with any google+ account, so I couldn't comment on YouTube from the MinutePhysics account for the last 2-3 years; google finally gave up on google+ enough that now I can comment on YouTube again!!)
-
Heisenberg was stopped by the police. The officer asked "Do you know how fast you were going?" Heisenberg responds "No, but I knew EXACTLY where I was."
-
(Ten) MinutePhysics
-
Noobs all you need to do is Ctrl + C and Ctrl + V
-
Why are you putting a box of unstable gunpowder that may or may not explode at any moment through a cloning machine?
-
I was gonna make a joke about cloning, but someone might copy it. Edit: Why did I think this was funny? Its legit a facebook level joke
-
i once interfered with myself and left a nice pattern on the wall
-
ngl fam, totally read "no clothing theorem"
-
Object a = new Object(); Object b = a.clone(); Ha!!
-
Very mixed feelings in re to format length. Longer and more in depth is great. But I would hate to lose the shorter format that really made your brand. They both serve a purpose. Two channels is probably not a good solution, especially from a business perspective. Perhaps clearly mark each format, perhaps not just by name, (ten minute physics works), but by some distinctive visual clue. This works on other channels that have multiple formats. People can readily pick out the series they want. You can keep separate playlists for those checking out your back catalogue.
-
people that are interested in what you have to say most likely have an attention span that is <60 seconds so yes longer videos would be nice
-
My cloning machine searches the universe for a perfect clone, and teleports it to the user.
-
0:29 "There are a few too many atoms of carbon-14 in the new canvas." I loved that one! 😂
-
I wouldn't mind a hourphysics video!
-
Well there's goes my only chance I get to a friend
-
Psh, you just need a Heisenberg compensator
-
1:22 "The universe is a party pooper, and perfect cloning is impossible." So, the universe says: No cloning around!
-
I am in a superposition of both liking these videos and really liking these videos.
-
for some reason I readed 'the no cleaning' theorem and came here expecting a excuse to give to my mom
-
You draw well ! And so your explainations are so cool and understandable 👌🏼 Thank you !
