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20032006
most citedMulti-party entanglement in graph states

1.1k citations · 1.5k across the 6 of their papers we have counts for

collaborators

6 papers

quant-ph2006★ 16 cited

Entanglement in Graph States and its Applications

M. Hein, W. Dür, J. Eisert +3

Graph states form a rich class of entangled states that exhibit important aspects of multi-partite entanglement. At the same time, they can be described by a number of parameters t…

quant-ph2005★ 102 cited

Standard forms of noisy quantum operations via depolarization

W. Dür, M. Hein, J. I. Cirac +1

We consider noisy, non-local unitary operations or interactions, i.e. the corresponding evolutions are described by completely positive maps or master equations of Lindblad form. W…

quant-ph2004★ 192 cited

Entanglement properties of multipartite entangled states under the influence of decoherence

M. Hein, W. Dür, H. -J. Briegel

We investigate entanglement properties of multipartite states under the influence of decoherence. We show that the lifetime of (distillable) entanglement for GHZ-type superposition…

quant-ph2004★ 123 cited

Entanglement in spin chains and lattices with long-range Ising-type interactions

W. Dür, L. Hartmann, M. Hein +2

We consider N initially disentangled spins, embedded in a ring or d-dimensional lattice of arbitrary geometry, which interact via some long--range Ising--type interaction. We inves…

quant-ph2003★ 1.1k cited

Multi-party entanglement in graph states

M. Hein, J. Eisert, H. J. Briegel

Graph states are multi-particle entangled states that correspond to mathematical graphs, where the vertices of the graph take the role of quantum spin systems and edges represent I…

quant-ph2003★ 1 cited

Local invariants for multi-partite entangled states allowing for a simple entanglement criterion

Hans Aschauer, John Calsamiglia, Marc Hein +1

We present local invariants of multi-partite pure or mixed states, which can be easily calculated and have a straight-forward physical meaning. As an application, we derive a new e…