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IEICE Technical Report; IEICE Tech. Rep.

Formulation of quantum teleportation by using 2^n orthogonal ground states consisted of coherent states

Ryo Kotaki, Noboru Watanabe

Published Jul 1, 2021• 0 citations
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We study teleportation with identical massive particles. Indistinguishability imposes that the relevant degrees of freedom to be teleported are not particles, but rather addressable orthogonal modes. We discuss the performances of teleportation under the constraint of conservation of the total number of particles. The latter inevitably decreases the teleportation fidelity. Moreover, even though a phase reference, given by the coupling to a reservoir, circumvents the constraint, it does not restore perfect deterministic teleportation. The latter is only achievable with some special resource entangled states and when the number of particles tends to infinity. Interestingly, some of such states are the many-particle atomic coherent states and the ground state of cold atoms loaded into a double well potential, which are routinely prepared in experiments.
We propose a scheme for teleportation of an entangled coherent state through bipartite entangled quantum channels. We study the problem in both coherent state picture and orthogonal basis picture composed of coherent states, and find that in the coherent state picture teleportation can be implemented using only linear elements, but the probability of success is less than 1/2, while in the orthogonal basis picture the probability of successful teleportation reaches 1 as long as the four Bell states can be discriminated.