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Multi-qubit stabilizer and cluster entanglement witnesses

2007/04/30 by M. A. Jafarizadeh, G. Najarbashi, Y. Akbari +1
Computer Science · Physics and Astronomy · #Basis (linear algebra) #Cluster (spacecraft) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Set (abstract data type) #Stabilizer (aeronautics) #quant-ph

paper · pdf · doi:10.1140/epjd/e2008-00028-0

57 pages, 2 figures

arxiv created 2007/10/01 · openalex publication_date 2008/02/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations