1.8k citations · 31.8k across the 228 of their papers we have counts for
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Quantum Chi-Squared and Goodness of Fit Testing
K. Temme, F. Verstraete
The density matrix in quantum mechanics parameterizes the statistical properties of the system under observation, just like a classical probability distribution does for classical…
Preparing projected entangled pair states on a quantum computer
Martin Schwarz, Kristan Temme, Frank Verstraete
We present a quantum algorithm to prepare injective PEPS on a quantum computer, a class of open tensor networks representing quantum states. The run-time of our algorithm scales po…
A matrix product state based algorithm for determining dispersion relations of quantum spin chains with periodic boundary conditions
Bogdan Pirvu, Jutho Haegeman, Frank Verstraete
We study a matrix product state (MPS) algorithm to approximate excited states of translationally invariant quantum spin systems with periodic boundary conditions. By means of a mom…
Time evolution of projected entangled pair states in the single layer picture
Iztok Pizorn, Ling Wang, Frank Verstraete
We propose an efficient algorithm for simulating quantum many-body systems in two spatial dimensions using projected entangled pair states. This is done by approximating the enviro…
Variational matrix product ansatz for dispersion relations
Jutho Haegeman, Bogdan Pirvu, David J. Weir +4
A variational ansatz for momentum eigenstates of translation invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit…
Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space
David Poulin, Angie Qarry, R. D. Somma +1
We consider the manifold of all quantum many-body states that can be generated by arbitrary time-dependent local Hamiltonians in a time that scales polynomially in the system size,…
Variational Numerical Renormalization Group: Bridging the gap between NRG and Density Matrix Renormalization Group
Iztok Pizorn, Frank Verstraete
The numerical renormalization group (NRG) is rephrased as a variational method with the cost function given by the sum of all the energies of the effective low-energy Hamiltonian.…