Unsupervised PCA applied to classical shadow data from random Pauli measurements detects and classifies both symmetry-breaking and topological quantum phase transitions across multiple spin models without Hamiltonian knowledge.
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In disordered variants of the Su-Schrieffer-Heeger model, the entanglement entropy difference ΔS^A between half-filled and near-half-filled ground states is zero in the topological phase and finite in the trivial phase, providing a robust diagnostic that can outperform the topological invariant Q.
citing papers explorer
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A Unsupervised Framework for Identifying Diverse Quantum Phase Transitions Using Classical Shadow Tomography
Unsupervised PCA applied to classical shadow data from random Pauli measurements detects and classifies both symmetry-breaking and topological quantum phase transitions across multiple spin models without Hamiltonian knowledge.
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Entanglement entropy as a probe of topological phase transitions
In disordered variants of the Su-Schrieffer-Heeger model, the entanglement entropy difference ΔS^A between half-filled and near-half-filled ground states is zero in the topological phase and finite in the trivial phase, providing a robust diagnostic that can outperform the topological invariant Q.