How Quantum Computers Break Encryption | Shor's Algorithm Explained
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This video explains Shor’s Algorithm, a way to efficiently factor large pseudoprime integers into their prime factors using a quantum computer. The quantum computation relies on the number-theoretic analysis of the factoring problem via modular arithmetic mod N (where N is the number to be factored), and finding the order or period of a random coprime number mod N. The exponential speedup comes in part from the use of the quantum fast fourier transform which achieves interference among frequencies that are not related to the period (period-finding is the goal of the QFT FFT).
REFERENCES
RSA Numbers (sample large numbers to try factoring)
en.wikipedia.org/wiki/RSA_num...
IBM on RSA
www.ibm.com/support/knowledge...
Modulo Multiplication Group Tables
mathworld.wolfram.com/ModuloMu...
Difference of squares factorization
en.wikipedia.org/wiki/Differe...
Euclid’s Algorithm
en.wikipedia.org/wiki/Euclide...
Rational sieve for factoring
en.wikipedia.org/wiki/Rationa...
General Number field Sieve
en.wikipedia.org/wiki/General...
Scott Aaronson blog post about Shor’s Algorithm
www.scottaaronson.com/blog/?p...
Experimental implementation of Shor’s Algorithm (factoring 15, 21, and 35)
arxiv.org/pdf/1903.00768.pdf
Adiabatic Quantum Computation factoring the number 291311
arxiv.org/pdf/1706.08061.pdf
Scott Aaronson course notes
www.scottaaronson.com/qclec/
www.scottaaronson.com/qclec/c...
Shor’s Algorithm on Quantiki
www.quantiki.org/wiki/shors-f...
TLS And SSL use RSA encryption
en.wikipedia.org/wiki/Transpo...
Dashlane security whitepaper
www.dashlane.com/download/Das...
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Пікірлер: 5 300
Hey, that's a lot of minutes of physics.
I think I follow. Smart computer makes maths go fast. Fast math is equal to no more computer security.
I HAVE UNDERSTOOD. NOTHING. AT. ALL.
My brain waves superpositioned in a way that only the neurons which did not undertand got positive interference
My girlfriend really enjoys quantum physics. She said that her physics professor really taught her some "super positions"
Just send the data in plaintext. When the hackers assume you've done the right thing and transmitted encrypted data, they will try to decrypt it and just end up garbling it.
No quantum computer is a match for the penmanship of a doctor.
Investing in crypto now is very cool especially with the current rise in the market now
I'm just going to pretend I understood even a minute of all this.
Here's how quantum computers will break even the strongest encryption ridiculously easy. Now, buy our sponsor's product... encryption.
Him: "...and here's the clever part."
It's amazing to see that someone can grasp such difficult concepts well enough to make this "simple" explanation. I don't have the knowledge to understand, but I still can have an idea of what it's about. And it's even more reassuring to see comments from physics students who find this video useful in addition to their study material. Thank you very much and keep the good work!
Me at the half mark: "This couldn't get anymore complicated."
I watch this when I’m feeling too smart
I love how he makes very hard concepts approachable. Now I’ll share this video with anyone who thinks quantum computers are basically magic
Great vid, thanks minutephysics! Been following your channel since I was 9 or 10 and now I'm going into uni and your content is still great and useful.
"I'm going to attempt to explain"
As a physics student I clicked into this thinking it's just another super basic introductory video...
Thanks for making this video. I took a class with Peter Shor and I still didnt understand his algorithm. But this video makes it so clear. Great work!
Every now and again I forget how shor's algorithm works, and every now and again this video comes up in my recommended and reminds me. Solid review of the quantum computing section of my survey of computer science. Love your videos