Long-range deformations of homogeneous Yang-Baxter integrable spin chains are generated by a twist of the quantum group that produces a non-associative algebra whose Drinfeld associator encodes the long-range terms up to first order.
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 shallow quantum circuit learned from conserved charges and a single dynamical observable reproduces integrable spin-chain dynamics and suffers less from simulated noise than the original deep circuit.
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The quantum group structure of long-range integrable deformations
Long-range deformations of homogeneous Yang-Baxter integrable spin chains are generated by a twist of the quantum group that produces a non-associative algebra whose Drinfeld associator encodes the long-range terms up to first order.
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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 shallow quantum circuit learned from conserved charges and a single dynamical observable reproduces integrable spin-chain dynamics and suffers less from simulated noise than the original deep circuit.