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Publications Influence

Entanglement in Graph States and its Applications

- M. Hein, W. Dur, J. Eisert, R. Raussendorf, M. V. D. Nest, H.-J. Briegel
- Physics, Mathematics
- 11 February 2006

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 that grows only… Expand

225 18- PDF

Graphical description of the action of local Clifford transformations on graph states

- M. V. D. Nest, J. Dehaene, B. Moor
- Physics
- 27 August 2003

We translate the action of local Clifford operations on graph states into transformations on their associated graphs, i.e., we provide transformation rules, stated in purely graph theoretical terms,… Expand

189 15- PDF

Simulating quantum computers with probabilistic methods

- M. V. D. Nest
- Computer Science, Physics
- Quantum Inf. Comput.
- 9 November 2009

TLDR

72 12- PDF

Measurement-based quantum computation

- H. Briegel, D. E. Browne, W. Dur, R. Raussendorf, M. V. D. Nest
- Physics
- 6 October 2009

Quantum computation offers a promising new kind of information processing, where the non-classical features of quantum mechanics are harnessed and exploited. A number of models of quantum computation… Expand

368 10- PDF

Classical simulation of quantum computation, the gottesman-Knill theorem, and slightly beyond

- M. V. D. Nest
- Physics, Mathematics
- Quantum Inf. Comput.
- 6 November 2008

TLDR

71 9- PDF

Classical simulation complexity of extended Clifford circuits

- R. Jozsa, M. V. D. Nest
- Computer Science, Mathematics
- Quantum Inf. Comput.
- 27 May 2013

TLDR

54 8- PDF

Fundamentals of universality in one-way quantum computation

- M. V. D. Nest, W. Dur, A. Miyake, H. J. Briegel
- Physics
- 12 February 2007

In this paper, we build a framework allowing for a systematic investigation of the fundamental issue: 'Which quantum states serve as universal resources for measurement-based (one-way) quantum… Expand

66 7- PDF

Classical simulation versus universality in measurement-based quantum computation

- M. V. D. Nest, W. Dur, G. Vidal, H. J. Briegel
- Physics
- 7 August 2006

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 recently introduced to… Expand

64 4- PDF

Simulating Quantum Circuits with Sparse Output Distributions

- M. Schwarz, M. V. D. Nest
- Computer Science, Physics
- Electron. Colloquium Comput. Complex.
- 1 October 2013

TLDR

24 4- PDF

Edge-local equivalence of graphs

- M. V. D. Nest, B. Moor
- Mathematics, Physics
- 12 October 2005

The local complement G*i of a simple graph G at one of its vertices i is obtained by complementing the subgraph induced by the neighborhood of i and leaving the rest of the graph unchanged. If… Expand

11 3- PDF