https://doi.org/10.1140/epjd/e2008-00028-0
Multi-qubit stabilizer and cluster entanglement witnesses
1
Department of Theoretical Physics and Astrophysics, University of Tabriz, Tabriz, 51664, Iran
2
Institute for Studies in Theoretical Physics and Mathematics, Tehran, 19395-1795, Iran
3
Research Institute for Fundamental Sciences, Tabriz, 51664, Iran
Corresponding author: a jafarizadeh@tabrizu.ac.ir
Received:
5
October
2007
Revised:
17
January
2008
Published online:
29
February
2008
One of the problems concerning entanglement witnesses (EWs) is the construction of them by a given set of operators. Here several multi-qubit EWs called stabilizer EWs are constructed by using the stabilizer operators of some given multi-qubit states such as GHZ, cluster and exceptional states. The general approach to manipulate the multi-qubit stabilizer EWs by exact(approximate) linear programming (LP) method is described and it is shown that the Clifford group play a crucial role in finding the hyper-planes encircling the feasible region. The optimality, decomposability and non-decomposability of constructed stabilizer EWs are discussed.
PACS: 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
