In tunable 3D fractal lattices with spectral dimension ds from 2 to 3, the Anderson transition critical disorder increases from 0 to 16.6 and the critical exponent decreases inversely with ds.
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An auxiliary-fermion encoding removes Jordan-Wigner strings for sparse non-local fermion models, achieving asymptotically optimal Trotter circuit depth on qubits after one-time state preparation.
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Anderson Transition and Mobility Edges in a Family of 3D Fractal Lattices
In tunable 3D fractal lattices with spectral dimension ds from 2 to 3, the Anderson transition critical disorder increases from 0 to 16.6 and the critical exponent decreases inversely with ds.
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Efficient Simulation of Sparse, Non-Local Fermion Models
An auxiliary-fermion encoding removes Jordan-Wigner strings for sparse non-local fermion models, achieving asymptotically optimal Trotter circuit depth on qubits after one-time state preparation.