How Quantum Computers Break Encryption | Shor's Algorithm Explained

How Quantum Computers Break Encryption | Shor's Algorithm Explained with tags physics, minutephysics, science

Go to http://www.dashlane.com/minutephysics to download Dashlane for free, and use offer code minutephysics for 10% off Dashlane Premium!Support MinutePhysics on Patreon! http://www.patreon.com/minutephysicsThis video explains Shors 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).REFERENCESRSA Numbers (sample large numbers to try factoring)https://en.wikipedia.org/wiki/RSA_numbersIBM on RSAhttps://www.ibm.com/support/knowledgecenter/en/SSB23S1.1.0.13/gtps7/s7pkey.htmlModulo Multiplication Group Tableshttp://mathworld.wolfram.com/ModuloMultiplicationGroup.htmlDifference of squares factorizationhttps://en.wikipedia.org/wiki/Difference_of_two_squaresEuclids Algorithmhttps://en.wikipedia.org/wiki/EuclideanalgorithmRational sieve for factoringhttps://en.wikipedia.org/wiki/Rational_sieveGeneral Number field Sievehttps://en.wikipedia.org/wiki/GeneralnumberfieldsieveScott Aaronson blog post about Shors Algorithmhttps://www.scottaaronson.com/blog/?p=208Experimental implementation of Shors Algorithm (factoring 15, 21, and 35)https://arxiv.org/pdf/1903.00768.pdfAdiabatic Quantum Computation factoring the number 291311https://arxiv.org/pdf/1706.08061.pdfScott Aaronson course noteshttps://www.scottaaronson.com/qclec/https://www.scottaaronson.com/qclec/combined.pdfShors Algorithm on Quantikihttps://www.quantiki.org/wiki/shors-factoring-algorithmTLS And SSL use RSA encryptionhttps://en.wikipedia.org/wiki/TransportLayerSecurityDashlane security whitepaperhttps://www.dashlane.com/download/DashlaneSecurityWhitePaperOctober2018.pdfLink to Patreon Supporters: http://www.minutephysics.com/supporters/MinutePhysics is on twitter - @minutephysicsAnd facebook - http://facebook.com/minutephysics Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute!Created by Henry Reich