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.
Tilloy, A study of the quantum sinh-gordon model with relativistic continuous matrix product states, arXiv preprint arXiv:2209.05341 (2022)
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The continuum limit of gauged tensor networks is well defined and produces a new class of states for non-perturbative continuum gauge theories.
Proposes continuous matrix product operators for QFT with closed-form matrix-function expressions from continuum limits of MPOs that preserve area-law entanglement and enable new continuous unitaries beyond quantum cellular automata.
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Continuous matrix product operators for quantum fields
Proposes continuous matrix product operators for QFT with closed-form matrix-function expressions from continuum limits of MPOs that preserve area-law entanglement and enable new continuous unitaries beyond quantum cellular automata.