Long-range deformations of arbitrary homogeneous Yang-Baxter integrable spin chains are realized as twists of the quantum group, with the Drinfeld associator encoding the long-range interaction terms up to first order in the deformation parameter.
Algebraic Aspects of the Bethe Ansatz
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An effective Bethe ansatz approximates eigenstates of non-integrable quantum many-body models by adjusting Bethe roots to minimize physically motivated cost functions.
A learned shallow circuit trained on conserved charges and limited dynamics preserves observables better than direct noisy simulation of deeper circuits in integrable spin chain models.
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The quantum group structure of long-range integrable deformations
Long-range deformations of arbitrary homogeneous Yang-Baxter integrable spin chains are realized as twists of the quantum group, with the Drinfeld associator encoding the long-range interaction terms up to first order in the deformation parameter.
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The Roaming Bethe Roots: An Effective Bethe Ansatz Beyond Integrability
An effective Bethe ansatz approximates eigenstates of non-integrable quantum many-body models by adjusting Bethe roots to minimize physically motivated cost functions.
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Effective Noise Mitigation via Quantum Circuit Learning in Quantum Simulation of Integrable Spin Chains
A learned shallow circuit trained on conserved charges and limited dynamics preserves observables better than direct noisy simulation of deeper circuits in integrable spin chain models.