Most symmetric separable states with conserved charge N are not symmetrically separable, with number entanglement showing Gaussian concentration around a strictly positive value.
The nonselective measurement of ˆNA results in the stateρ| ˆNA =P NA ΠNA ρΠNA, where ΠNA is the projector onto the sector of chargeN A
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The typicality of symmetry-induced entanglement
Most symmetric separable states with conserved charge N are not symmetrically separable, with number entanglement showing Gaussian concentration around a strictly positive value.