Open-boundary transverse-field Ising model admits exact invertible duality, invertible critical symmetry, and spontaneous duality breaking from differing physical sensitivities to local perturbations.
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6 Pith papers cite this work. Polarity classification is still indexing.
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Gauge-equivariant graph neural networks embed non-Abelian local symmetries directly into message passing for lattice gauge theories, enabling learning of nonlocal observables from local operations.
A gauge-invariant GNN using Wilson loops as inputs accurately predicts observables and simulates dynamics in Z2 and U(1) lattice gauge models.
Surface code logical qubits in continuous baths have a true thermodynamic error threshold only for short-range interactions, as their decoherence maps exactly to the anisotropic Kondo model.
Floquet engineering engineers time-hierarchical emergent local symmetries that restrict inter-sector couplings and create long-lived gauge sectors in U(1) lattice gauge theory simulations.
Exact solutions via transfer-matrix method for partition functions, gauge-invariant correlations, and Wilson loops in n=1-4 chain Z2-gauge-invariant Ising models with multi-spin terms on finite strips.
citing papers explorer
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Invertible Symmetry and Spontaneous Duality Breaking in the Transverse-Field Ising Model
Open-boundary transverse-field Ising model admits exact invertible duality, invertible critical symmetry, and spontaneous duality breaking from differing physical sensitivities to local perturbations.
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Gauge-Equivariant Graph Neural Networks for Lattice Gauge Theories
Gauge-equivariant graph neural networks embed non-Abelian local symmetries directly into message passing for lattice gauge theories, enabling learning of nonlocal observables from local operations.
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Graph Neural Networks in the Wilson Loop Representation of Abelian Lattice Gauge Theories
A gauge-invariant GNN using Wilson loops as inputs accurately predicts observables and simulates dynamics in Z2 and U(1) lattice gauge models.
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Quantum Decoherence of the Surface Code: A Generalized Caldeira-Leggett Approach
Surface code logical qubits in continuous baths have a true thermodynamic error threshold only for short-range interactions, as their decoherence maps exactly to the anisotropic Kondo model.
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Protecting Quantum Simulations of Lattice Gauge Theories through Engineered Emergent Hierarchical Symmetries
Floquet engineering engineers time-hierarchical emergent local symmetries that restrict inter-sector couplings and create long-lived gauge sectors in U(1) lattice gauge theory simulations.
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Exact solution of generalized gauge-invariant Ising chains with multi-spin interactions
Exact solutions via transfer-matrix method for partition functions, gauge-invariant correlations, and Wilson loops in n=1-4 chain Z2-gauge-invariant Ising models with multi-spin terms on finite strips.