Characterizing multiparticle entanglement in symmetric N-qubit states via negativity of covariance matrices

Details Characterizing multiparticle entanglement in symmetric N-qubit states via negativity of covariance matrices Characterizing multiparticle entanglement in symmetric N-qubit states via negativity of covariance matrices

2006-09-07

arxiv.org/abs/quant-ph/0609055v3

Phys. Rev. Lett. 98, 060501 (2007)

Physics

Quantum Physics

4 pages, no figures, RevTeX, Improved presentation

Scientific paper

10.1103/PhysRevLett.98.060501

We show that higher order inter-group covariances involving even number of qubits are necessarily positive semidefinite for N qubit separable states, which are completely symmetric under permutations of the qubits. This identification leads to a family of sufficient conditions of inseparability based on the negativity of 2kth order inter-group covariance matrices of symmetric N-qubit systems. These conditions have a simple structure and detect entanglement in all even partitions of the symmetric multiqubit system. The observables involved are feasible experimental quantities and do not demand full state determination through quantum state tomography.

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