1.8k citations · 31.8k across the 228 of their papers we have counts for
12 papers · 1 filter
Mutual information in classical spin models
Johannes Wilms, Matthias Troyer, Frank Verstraete
The total many-body correlations present in finite temperature classical spin systems are studied using the concept of mutual information. As opposed to zero-temperature quantum ph…
Monte Carlo simulation with Tensor Network States
Ling Wang, Iztok Pizorn, Frank Verstraete
It is demonstrated that Monte Carlo sampling can be used to efficiently extract the expectation value of projected entangled pair states with large virtual bond dimension. We use t…
Simulating Strongly Correlated Quantum Systems with Tree Tensor Networks
Valentin Murg, Örs Legeza, Reinhard M. Noack +1
We present a tree-tensor-network-based method to study strongly correlated systems with nonlocal interactions in higher dimensions. Although the momentum-space and quantum-chemistr…
Applying the variational principle to (1+1)-dimensional quantum field theories
Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne +2
We extend the recently introduced continuous matrix product state (cMPS) variational class to the setting of (1+1)-dimensional relativistic quantum field theories. This allows one…
Exploiting translational invariance in Matrix Product State simulations of spin chains with periodic boundary conditions
B. Pirvu, F. Verstraete, G. Vidal
We present a matrix product state (MPS) algorithm to approximate ground states of translationally invariant systems with periodic boundary conditions. For a fixed value of the bond…
Holographic quantum states
Tobias J. Osborne, Jens Eisert, Frank Verstraete
We show how continuous matrix product states of quantum field theories can be described in terms of the dissipative non-equilibrium dynamics of a lower-dimensional auxiliary bounda…
The -divergence and Mixing times of quantum Markov processes
K. Temme, M. J. Kastoryano, M. B. Ruskai +2
We introduce quantum versions of the -divergence, provide a detailed analysis of their properties, and apply them in the investigation of mixing times of quantum Markov proces…
Complete-Graph Tensor Network States: A New Fermionic Wave Function Ansatz for Molecules
Konrad H Marti, Bela Bauer, Markus Reiher +2
We present a new class of tensor network states that are specifically designed to capture the electron correlation of a molecule of arbitrary structure. In this ansatz, the electro…
Grassmann tensor network states and its renormalization for strongly correlated fermionic and bosonic states
Zheng-Cheng Gu, Frank Verstraete, Xiao-Gang Wen
The projective construction (the slave-particle approach) has played an very important role in understanding strongly correlated systems, such as the emergence of fermions, anyons,…
Fermionic Implementation of Projected Entangled Pair States Algorithm
Iztok Pizorn, Frank Verstraete
We present and implement an efficient variational method to simulate two-dimensional finite size fermionic quantum systems by fermionic projected entangled pair states. The approac…
Stochastic Matrix Product States
Kristan Temme, Frank Verstraete
The concept of stochastic matrix product states is introduced and a natural form for the states is derived. This allows to define the analogue of Schmidt coefficients for steady st…
Continuous Matrix Product States for Quantum Fields
F. Verstraete, J. I. Cirac
We define matrix product states in the continuum limit, without any reference to an underlying lattice parameter. This allows to extend the density matrix renormalization group and…