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.
Hauru , author M
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Relativistic continuous matrix product states yield competitive variational approximations to ground state energies and observables in the phi^4, Sine-Gordon, and Sinh-Gordon models, including strongly coupled regimes.