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

Gerardo Adesso
Phys. Rev. Lett. 97, 130502 – Published 25 September 2006

Abstract

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(N1)/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.

  • Figure
  • Received 7 March 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.130502

©2006 American Physical Society

Authors & Affiliations

Gerardo Adesso

  • Dipartimento di Fisica “E. R. Caianiello”, Università degli Studi di Salerno, INFN Sezione di Napoli-Gruppo Collegato di Salerno, Via S. Allende, 84081 Baronissi (SA), Italy
  • Centre for Quantum Computation, DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

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Issue

Vol. 97, Iss. 13 — 29 September 2006

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