Session W33: Quantum Entanglement

2:30 PM–5:06 PM, Thursday, March 8, 2007
Colorado Convention Center - 403

Sponsoring Unit: GQI
Chair: Daniel Lidar, University of Southern California

Abstract ID: BAPS.2007.MAR.W33.3

Abstract: W33.00003 : The su(1,1) symmetry of tripartite entangled Gaussian states

2:54 PM–3:06 PM

Preview Abstract

Authors:

  Barry Sanders
    (University of Calgary)

  Zahra Shaterzadeh Yazdi
    (University of Calgary)

  Peter Turner
    (University of Calgary)

Two-mode squeezed light has been central to theoretical and experimental studies of continuous variable quantum information processing and to quantum foundations. More recently the generalization of these states to three-mode squeezed light has been achieved in the context of quantum teleportation [1] and state sharing [2]. Theories are typically developed in Gaussian or position representations, but we have discovered that all tripartite entangled Gaussians states of these types are in fact su(1,1) coherent states with respect to an intriguing three-boson realization of su(1,1) first noticed by Sebawe Abdalla et al [3]. This symmetry provides insights into the useful properties of these states and suggests ways to generalize theories and applications of multipartite entangled Gaussian states. [1] A. Furusawa et al, Science \textbf{282}, 706 (1998). [2] A. M. Lance et al, Phys. Rev. Lett. \textbf{92}, 177903 (2004). [3] M. Sebawe Abdalla et al, Eur. Phys. J. D \textbf{13}, 423 (2001).

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2007.MAR.W33.3