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Quantum Error Correction Fault Tolerance Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Multi-qubit stabilizer and cluster entanglement witnesses

arXiv
Authors: M. A. Jafarizadeh, G. Najarbashi, Y. Akbari, H. Habibian

Year

2007

Paper ID

50534

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • One of the problems concerning entanglement witnesses (EWs) is the construction of them by a given set of operators.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0704.2414 [2] arXiv https://arxiv.org/abs/0704.2414 [3] Publisher https://arxiv.org/abs/0704.2414

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