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”What do the digits of pi, colliding blocks and quantum search algorithms have in common? More than you might expect. Two playful papers…provide the links between them. Together, they connect the worlds of dynamics, geometry and quantum computation, highlighting how even the most abstract math puzzles can have surprising physical relevance…

The fact that pi shows up when we count the collisions is mirrored in the runtime of Grover’s algorithm: π/4 square root of N steps. The square root in that expression also reflects how further digits of pi (in base 10) come from multiplying the mass of the big block by 100…

These connections highlight the power of a universal mathematical language. Using vectors to encode the state of a physical system works just as well with macroscale block collisions as it does with microscale quantum states. Many fundamental ideas in math, which may at first seem frustratingly removed from reality, prove to be powerful tools because dropping the physical details from one field can reveal otherwise hidden connections to another.”


Source: How Pi Connects Colliding Blocks to a Quantum Search Algorithm, by Grant Sanderson, for NAUTILUS | QUANTA ABSTRACTIONS



Dr. Troglodyte


“Quis custodiet ipsos custodes?“ - Decimus Junius Juvenalis


“Numero, Pondere et Mensura“


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Subject Views Written By Posted
Beginner’s Guide to Quantum Computing 1091 Dr. Troglodyte 25-Oct-19 19:06
Sycamore <> Quantum Supremacy 124 Dr. Troglodyte 25-Oct-19 20:25
News from the Dark Side 106 Dr. Troglodyte 28-Oct-19 18:16
Re: News from the Dark Side 134 D-Archer 29-Oct-19 12:09
Re: There is no such thing as Quantum Computing 123 D-Archer 26-Oct-19 08:09
Re: There is no such thing as Quantum Computing 118 Dr. Troglodyte 26-Oct-19 15:30
Re: There is no such thing as Quantum Computing 106 D-Archer 27-Oct-19 09:47
Re: There is no such thing as Quantum Computing 116 Dr. Troglodyte 27-Oct-19 13:50
Re: There is no such thing as Quantum Computing 104 D-Archer 28-Oct-19 08:47
Clash of Titans 113 Dr. Troglodyte 27-Oct-19 18:07
Re: Clash of Titans 112 D-Archer 28-Oct-19 08:47
New Player: Photon Boson Sampling 94 Dr. Troglodyte 08-Nov-19 20:12
Re: New Player: Photon Boson Sampling 109 D-Archer 09-Nov-19 14:22
Re: New Player: Photon Boson Sampling 91 ianw16 15-Nov-19 14:44
Re: New Player: Photon Boson Sampling 89 D-Archer 17-Nov-19 11:34
Quantum Engineering Challenges 76 Dr. Troglodyte 05-Dec-19 17:44
Re: Quantum Engineering for the mentally Challenged 95 D-Archer 06-Dec-19 14:28
Colliding Blocks<>Pi<>Quantum Search Algorithm 41 Dr. Troglodyte 27-Jan-20 00:21
Re: Colliding Blocks<>Pi<>Quantum Search Algorithm 69 D-Archer 27-Jan-20 10:28


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