Related Experiment Video
Updated: Aug 26, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Entanglement frustration for Gaussian states on symmetric graphs
M M Wolf1, F Verstraete, J I Cirac
1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, Garching, D-85748, Germany.
Abstract:
We investigate the entanglement properties of multimode Gaussian states, which have some symmetry with respect to the ordering of the modes. We show how the symmetry constrains the entanglement between two modes of the system. In particular, we determine the maximal entanglement of formation that can be achieved in symmetric graphs like chains, 2D and 3D lattices, mean field models and the platonic solids. The maximal entanglement is always attained for the ground state of a particular quadratic Hamiltonian. The latter thus yields the maximal entanglement among all quadratic Hamiltonians having the considered symmetry.
Related Concept Videos
Gauss's Law
Gauss's Law: Planar Symmetry
The Pauli Exclusion Principle
The Entropy as a State Function
Gauss's Law: Problem-Solving
Gaussian Elimination: Problem Solving