MPS energy landscapes lack poor local minima because gauge freedom induces effective local overparametrization, proven via invariance under orthogonality center moves and confirmed by numerics on random Hamiltonians.
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Absence of poor local minima in matrix product states
MPS energy landscapes lack poor local minima because gauge freedom induces effective local overparametrization, proven via invariance under orthogonality center moves and confirmed by numerics on random Hamiltonians.