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Localizable Entanglement
M. Popp, F. Verstraete, M. A. Martin-Delgado +1
We consider systems of interacting spins and study the entanglement that can be localized, on average, between two separated spins by performing local measurements on the remaining…
Renormalization group transformations on quantum states
F. Verstraete, J. I. Cirac, J. I. Latorre +2
We construct a general renormalization group transformation on quantum states, independent of any Hamiltonian dynamics of the system. We illustrate this procedure for translational…
Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
F. Verstraete, J. I. Cirac
We describe quantum many--body systems in terms of projected entangled--pair states, which naturally extend matrix product states to two and more dimensions. We present an algorith…
Matrix Product Density Operators: Simulation of finite-T and dissipative systems
F. Verstraete, J. J. Garcia-Ripoll, J. I. Cirac
We show how to simulate numerically both the evolution of 1D quantum systems under dissipation as well as in thermal equilibrium. The method applies to both finite and inhomogeneou…
Interpolation of recurrence and hashing entanglement distillation protocols
Karl Gerd H. Vollbrecht, Frank Verstraete
We construct new entanglement distillation protocols by interpolating between the recurrence and hashing protocols. This leads to asymptotic two-way distillation protocols, resulti…
DMRG and periodic boundary conditions: a quantum information perspective
F. Verstraete, D. Porras, J. I. Cirac
We introduce a picture to analyze the density matrix renormalization group (DMRG) numerical method from a quantum information perspective. This leads us to introduce some modificat…
Quantum entanglement theory in the presence of superselection rules
Norbert Schuch, Frank Verstraete, J. Ignacio Cirac
Superselection rules severly constrain the operations which can be implemented on a distributed quantum system. While the restriction to local operations and classical communicatio…
Entanglement flow in multipartite systems
T. S. Cubitt, F. Verstraete, J. I. Cirac
We investigate entanglement dynamics in multipartite systems, establishing a quantitative concept of entanglement flow: both flow through individual particles, and flow along gener…