The importance of the Yang-Baxter equation

Discussion in 'Physics & Math' started by arfa brane, May 25, 2018.

  1. arfa brane call me arf Valued Senior Member

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    This equation could end up being as important to Quantum Computing as the Schrödinger equation is to solid state physics.

    So if you understand what a CNOT gate is, what computational universality is, then this paper explains the Yang-Baxter equation in those terms.
     
    Last edited: May 25, 2018
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  3. Michael 345 Bali in Nov closer Valued Senior Member

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    Why don't we give it to Terry Howard to check?

    Please Register or Log in to view the hidden image!

     
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  5. arfa brane call me arf Valued Senior Member

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    Some recent solid-state physics: Hitachi claims to have the world's highest resolution (43 pm) electron microscope.

    Here is video of quantised magnetic vortices moving on the surface of a thin film of Niobium, under a strong magnetic field which is perpendicular (or at some angle) to the film. You can see them "hopping" or moving suddenly, but in a regular way so there is a bulk flow. The vortices heat the substrate such that they tend to follow the same track(s). You also get annihilation of vortices with opposite spins, later in the vid

    http://rdg.ext.hitachi.co.jp/rd/moviee/vortices.mpeg
     
    Last edited: May 27, 2018
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