Generic Entanglement and Standard Form for N-mode Pure Gaussian States

Details Generic Entanglement and Standard Form for N-mode Pure Gaussian States Generic Entanglement and Standard Form for N-mode Pure Gaussian States

2006-06-22

arxiv.org/abs/quant-ph/0606190v3

Phys. Rev. Lett. 97, 130502 (2006)

Physics

Quantum Physics

4 pages, 1 EPS figure. Revised, corrected and clarified. Final shortened version, published in PRL

Scientific paper

10.1103/PhysRevLett.97.130502

We investigate the correlation structure of pure N-mode Gaussian resources which can be experimentally generated by means of squeezers and beam splitters, whose entanglement properties are generic. We show that those states are specified (up to local unitaries) by N(N-1)/2 parameters, corresponding to the two-point correlations between any pair of modes. Our construction yields a practical scheme to engineer such generic-entangled N-mode pure Gaussian states by linear optics. We discuss our findings in the framework of Gaussian matrix product states of harmonic lattices, raising connections with entanglement frustration and the entropic area law.

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