A linear MPS tangent-space method for open-boundary systems is derived, and a particle-resolved rank tomography is introduced to diagnose the tangent space's expressivity limits.
6 Proof.By Proposition 5,V D,d is cut out by homoge- neous minors of the flattenings and is a projective al- gebraic variety
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Excitation spectra and rank tomography of linear matrix product tangent spaces
A linear MPS tangent-space method for open-boundary systems is derived, and a particle-resolved rank tomography is introduced to diagnose the tangent space's expressivity limits.