Quantum Computing via The Bethe Ansatz

Details Quantum Computing via The Bethe Ansatz Quantum Computing via The Bethe Ansatz

2011-06-20

arxiv.org/abs/1106.3982v1

Quantum Inf Process (2012) 11:585-590

Physics

General Physics

6 pages. Comments welcome

Scientific paper

10.1007/s11128-011-0268-4

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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