Quantum Computing via The Bethe Ansatz

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.

6 pages. Comments welcome

References in corpus (2)

• Implementing quantum gates through scattering between a static and a flying qubit
• Quantum Error Correction Code in the Hamiltonian Formulation

Cited by in corpus (4)

• Geometric representations of braid and Yang-Baxter gates
• Quantum Gates Between Distant Qubits via Spin-Independent Scattering
• One-particle spectral function singularities in a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction
• Integrable Quantum Computation