52 citations · 257 across the 43 of their papers we have counts for
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Exact matrix product state representation and convergence of a fully correlated electronic wavefunction in the infinite basis limit
Gero Friesecke, Benedikt R. Graswald, Örs Legeza
In this article we present the exact representation of a fully correlated electronic wavefunction as the single-particle basis approaches completeness. It consists of a half-infini…
Two-electron wavefunctions are matrix product states with bond dimension Three
Gero Friesecke, Benedikt R. Graswald
We prove the statement in the title, for a suitable (wavefunction-dependent) choice of the underlying orbitals, and show that Three is optimal. Thus for two-electron systems, the Q…
On the closedness and geometry of tensor network state sets
Thomas Barthel, Jianfeng Lu, Gero Friesecke
Tensor network states (TNS) are a powerful approach for the study of strongly correlated quantum matter. The curse of dimensionality is addressed by parametrizing the many-body sta…
Electronic wavefunction with maximally entangled MPS representation
Benedikt R. Graswald, Gero Friesecke
We present an example of an electronic wavefunction with maximally entangled MPS representation, in the sense that the bond dimension is maximal and cannot be lowered by any re-ord…
Efficient Algorithm for Asymptotics-Based Configuration-Interaction Methods and Electronic Structure of Transition Metal Atoms
Christian Mendl, Gero Friesecke
Asymptotics-based configuration-interaction (CI) methods [G. Friesecke and B. D. Goddard, Multiscale Model. Simul. 7, 1876 (2009)] are a class of CI methods for atoms which reprodu…