Quantum Computing via The Bethe Ansatz

Yong Zhang

doi:10.1007/s11128-011-0268-4

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arXiv · 1106.3982

Quantum Computing via The Bethe Ansatz

Yong Zhang

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Abstract

We recognize quantum circuit model of computation as factorisable scattering model and propose that a quantum computer is associated with a quantum many-body system solved by the Bethe ansatz. As an typical example to support our perspectives on quantum computation, we study quantum computing in one-dimensional nonrelativistic system with delta-function interaction, where the two-body scattering matrix satisfies the factorisation equation (the quantum Yang--Baxter equation) and acts as a parametric two-body quantum gate. We conclude by comparing quantum computing via the factorisable scattering with topological quantum computing.

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Yong Zhang. 2011-06-20. Quantum Computing via The Bethe Ansatz. https://doi.org/10.1007/s11128-011-0268-4

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