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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…
A tensor product state approach to spin-1/2 square - antiferromagnetic Heisenberg model: evidence for deconfined quantum criticality
Ling Wang, Zheng-Cheng Gu, Frank Verstraete +1
The ground state phase of spin-1/2 - antiferromagnetic Heisenberg model on square lattice around the maximally frustrated regime () has been debated for d…
Cluster update for tensor network states
Ling Wang, Frank Verstraete
We propose a novel recursive way of updating the tensors in projected entangled pair states by evolving the tensor in imaginary time evolution on clusters of different sizes. This…
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…
Entanglement spectrum and boundary theories with projected entangled-pair states
J. Ignacio Cirac, Didier Poilblanc, Norbert Schuch +1
In many physical scenarios, close relations between the bulk properties of quantum systems and theories associated to their boundaries have been observed. In this work, we provide…
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…