336 citations · 992 across the 17 of their papers we have counts for
4 papers · 2 filters
Graph states as ground states of many-body spin-1/2 Hamiltonians
M. Van den Nest, K. Luttmer, W. Dür +1
We consider the problem whether graph states can be ground states of local interaction Hamiltonians. For Hamiltonians acting on n qubits that involve at most two-body interactions,…
Measurement-based quantum computation and undecidable logic
M. Van den Nest, H. J. Briegel
We establish a connection between measurement-based quantum computation and the field of mathematical logic. We show that the computational power of an important class of quantum s…
Classical simulation versus universality in measurement based quantum computation
M. Van den Nest, W. Dür, G. Vidal +1
We investigate for which resource states an efficient classical simulation of measurement based quantum computation is possible. We show that the Schmidt--rank width, a measure rec…
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…