1.8k citations · 31.8k across the 228 of their papers we have counts for
11 papers · 2 filters
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…
Nonlocal resources in the presence of Superselection Rules
N. Schuch, F. Verstraete, J. I. Cirac
Superselection rules severely alter the possible operations that can be implemented on a distributed quantum system. Whereas the restriction to local operations imposed by a bipart…
Entanglement frustration for Gaussian states on symmetric graphs
M. M. Wolf, F. Verstraete, J. I. Cirac
We investigate the entanglement properties of multi-mode Gaussian states, which have some symmetry with respect to the ordering of the modes. We show how the symmetry constraints t…
Multipartite entanglement in 2 x 2 x n quantum systems
Akimasa Miyake, Frank Verstraete
We classify multipartite entangled states in the 2 x 2 x n (n >= 4) quantum system, for example the 4-qubit system distributed over 3 parties, under local filtering operations. We…
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…
The moduli space of three qutrit states
E. Briand, J. -G. Luque, J. -Y. Thibon +1
We study the invariant theory of trilinear forms over a three-dimensional complex vector space, and apply it to investigate the behaviour of pure entangled three-partite qutrit sta…
Optimal teleportation with a mixed state of two qubits
F. Verstraete, H. Verschelde
We consider a single copy of a mixed state of two qubits and derive the optimal trace-preserving local operations assisted by classical communication (LOCC) such as to maximize the…
Separable states can be used to distribute entanglement
T. S. Cubitt, F. Verstraete, W. Dur +1
We show that no entanglement is necessary to distribute entanglement; that is, two distant particles can be entangled by sending a third particle that is never entangled with the o…
Quantum nonlocality in the presence of superselection rules and data hiding protocols
F. Verstraete, J. I. Cirac
We consider a quantum system subject to superselection rules, for which certain restrictions apply to the quantum operations that can be implemented. It is shown how the notion of…