1.8k citations · 3.5k across the 17 of their papers we have counts for
17 papers
Tensor product methods and entanglement optimization for ab initio quantum chemistry
Szilárd Szalay, Max Pfeffer, Valentin Murg +4
The treatment of high-dimensional problems such as the Schrödinger equation can be approached by concepts of tensor product approximation. We present general techniques that can be…
The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks
You Quan Chong, Valentin Murg, Vladimir Korepin +1
We consider a model of strongly correlated electrons in 1D called the t-J model, which was solved by graded algebraic Bethe ansatz. We use it to design graded tensor networks which…
Tree tensor network state study of the ionic-neutral curve crossing of LiF
V. Murg, F. Verstraete, R. Schneider +2
We present a tree-tensor-network-state (TTNS) method study of the ionic-neutral curve crossing of LiF. For this ansatz, the long-range correlation deviates from the mean-field valu…
Spectral gaps of AKLT Hamiltonians using Tensor Network methods
Artur Garcia-Saez, Valentin Murg, Tzu-Chieh Wei
Using exact diagonalization and tensor network techniques we compute the gap for the AKLT Hamiltonian in 1D and 2D spatial dimensions. Tensor Network methods are used to extract ph…
Compressed Simulation of evolutions of the XY-model
Walter L. Boyajian, Valentin Murg, Barbara Kraus
We extend the notion of compressed quantum simulation to the XY-model. We derive a quantum circuit processing log(n) qubits which simulates the 1D XY-model describing n qubits. In…
Numerical Contraction of the Tensor Network generated by the Algebraic Bethe Ansatz
Valentin Murg, Vladimir E. Korepin, Frank Verstraete
The algebraic Bethe Ansatz is a prosperous and well-established method for solving one-dimensional quantum models exactly. The solution of the complex eigenvalue problem is thereby…