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Valence Bond Solids for Quantum Computation
F. Verstraete, J. I. Cirac
Cluster states are entangled multipartite states which enable to do universal quantum computation with local measurements only. We show that these states have a very simple interpr…
Entanglement and Frustration in Ordered Systems
M. M. Wolf, F. Verstraete, J. I. Cirac
This article reviews and extends recent results concerning entanglement and frustration in multipartite systems which have some symmetry with respect to the ordering of the particl…
Diverging Entanglement Length in Gapped Quantum Spin Systems
F. Verstraete, M. A. Martin-Delgado, J. I. Cirac
We prove the existence of gapped quantum Hamiltonians whose ground states exhibit an infinite entanglement length, as opposed to their finite correlation length. Using the concept…
Entanglement versus Correlations in Spin Systems
F. Verstraete, M. Popp, J. I. Cirac
We consider pure quantum states of spins or qubits and study the average entanglement that can be \emph{localized} between two separated spins by performing local measurem…