We describe the problems of quantum chemistry, the intuition behind classical heuristic
methods used to solve them, a conjectured form of the classical complexity of quantum …

We present a Perspective on what the future holds for full configuration interaction (FCI)
theory, with an emphasis on conceptual rather than technical details. Upon revisiting the …

We propose an algorithm to convert a projected entangled pair state (PEPS) into a canonical
form, analogous to the well-known canonical form of a matrix product state. Our approach is …

Benchmarking numerical methods in quantum chemistry is one of the key opportunities that
quantum simulators can offer. Here, we propose an analog simulator for discrete two …

We introduce highly local basis sets for electronic structure which are very efficient for
correlation calculations near the complete basis set limit. Our approach is based on …

The understanding of complex quantum many-body systems has been vastly boosted by
tensor network (TN) methods. Among others, excitation spectrum and long-range interacting …

Matrix product states and matrix product operators (MPOs) are one-dimensional tensor
networks that underlie the modern density matrix renormalization group (DMRG) algorithm …

In one dimension (1D), a general decaying long-range interaction can be fit to a sum of
exponential interactions e− λ rij with varying exponents λ, each of which can be represented …

Systems of interacting fermions can give rise to ground states whose correlations become
effectively free-fermion-like in the thermodynamic limit, as shown by Baxter for a class of …

We describe the use of tensor networks to numerically determine wave functions of
interacting two-dimensional fermionic models in the continuum limit. We use two different …