# Heidelberg 2015 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

# Q: Fachverband Quantenoptik und Photonik

## Q 26: Quantum Information: Concepts and Methods IV

### Q 26.8: Vortrag

### Dienstag, 24. März 2015, 16:15–16:30, K/HS1

**X-chains in Graph States and their Applications** — •Junyi Wu, Hermann Kampermann, and Dagmar Bruß — Institut für Theoretische Physik III, HHU Düsseldorf

A special configuration of graph state stabilizers, which contains only Pauli σ_{x} operators, is studied. Vertex sets ξ associated with such configurations are defined as X-chains of graph states. With the help of X-chain group *X*^{∅} of a given graph state |*G*⟩, one obtains the *X*^{∅}-factorized group. From these considerations, one obtains the explicit representation of graph states in the rotated X-basis. This representation helps us to understand the graph states in more detail, since it can be employed in various analyses of graph states, e.g. overlaps of graph states and their entanglement. An efficient algorithm is also given for searching X-chains of a graph state.