  When quantum teleportation is performed with truly identical massive
particles, indistinguishability allows us to teleport addressable degrees of
freedom which do not identify particles, but e.g. orthogonal modes. The key
resource of the protocol is a state of entangled modes, but the conservation of
the total number of particles does not allow for perfect deterministic
teleportation unless the number of particles in the resource state goes to
infinity. Here, we study the convergence of teleportation performances in the
above limit, and provide sufficient conditions for asymptotic perfect
teleporation. We also apply these conditions to the case of resource states
affected by noise.
