Teleportation Fidelities of Squeezed States from Thermodynamical State Space Measures
Alessio Serafini, Oscar Dahlsten, Martin Bodo Plenio · Physical Review Letters · 2007
We introduce a ``microcanonical'' measure (complying with the ``general canonical principle'') over the second moments of pure bosonic Gaussian states under an energy constraint. We determine the average fidelity for the teleportation of states distributed according to such a measure and compare it to a threshold obtained from a feasible classical strategy. Furthermore, we show that, under the proposed measure, the distribution of the entanglement concentrates around a finite value at the thermodynamical limit and, in general, the typical entanglement of Gaussian states with maximal energy $E$ is not close to the maximum allowed by $E$.