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Mathematicians crack ancient physics puzzle that could unlock quantum computing

Researchers have solved a decades-old mathematical problem in quantum physics that could accelerate the design of more efficient quantum computers and cryptographic systems. The breakthrough uses a new geometric approach to predict how quantum systems behave, potentially cutting years off development timelines for quantum technologies that major tech firms are racing to commercialize.

Originaltitel: Bethe Algebra using Pure Spinors

Abstrakt

<p>We propose a gl(r)-covariant parameterisation of Bethe algebra appearing in so(2r) integrable models, demonstrate its geometric origin from a fused flag, and use it to compute the spectrum of periodic rational spin chains, for various choices of the rank r and Drinfeld polynomials.</p>

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