QAOA on the infinite SK model maps exactly to a spin-boson Hamiltonian whose ground-state energy can be computed with matrix-product states, yielding numerical evidence that depth O(n/ε^1.13) suffices for (1-ε) approximation in the average case.
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A layer-by-layer classical variational disentanglement algorithm compiles preparation circuits for matrix product states by minimizing bipartite entanglement to reduce bond dimensions.
DMRG and effective-pairing theory show insulating regions with persistent superfluid correlations in trapped 1D Fermi-Hubbard chains, with conditioned correlation functions distinguishing BCS-like from BEC-like behavior.
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Spin-Boson Mapping of the Quantum Approximate Optimization Algorithm
QAOA on the infinite SK model maps exactly to a spin-boson Hamiltonian whose ground-state energy can be computed with matrix-product states, yielding numerical evidence that depth O(n/ε^1.13) suffices for (1-ε) approximation in the average case.
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Preparation Circuits for Matrix Product States by Classical Variational Disentanglement
A layer-by-layer classical variational disentanglement algorithm compiles preparation circuits for matrix product states by minimizing bipartite entanglement to reduce bond dimensions.
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BCS-BEC crossover in trapped one-dimensional Fermi-Hubbard chains: entanglement and correlation signatures from DMRG and effective-pairing theory
DMRG and effective-pairing theory show insulating regions with persistent superfluid correlations in trapped 1D Fermi-Hubbard chains, with conditioned correlation functions distinguishing BCS-like from BEC-like behavior.