1.8k citations · 3.5k across the 17 of their papers we have counts for
4 papers · 1 filter
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…
Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
F. Verstraete, J. I. Cirac, V. Murg
This article reviews recent developments in the theoretical understanding and the numerical implementation of variational renormalization group methods using matrix product states…
Matrix product operator representations
V. Murg, J. I. Cirac, B. Pirvu +1
We show how to construct relevant families of matrix product operators in one and higher dimensions. Those form the building blocks for the numerical simulation methods based on ma…
Adiabatic Time Evolution in Spin-Systems
V. Murg, J. I. Cirac
Adiabatic processes in the quantum Ising model and the anisotropic Heisenberg model are discussed. The adiabatic processes are assumed to consist in the slow variation of the stren…