Quantum probabilistic teleportation via entangled coherent states

Abstract

We study the entanglement of entangled coherent states in vacuum environment by employing the entanglement of formation and propose a scheme to probabilistically teleport a coherent superposition state via entangled coherent states, in which the amount of classical information sent by Alice is restricted to one bit. The influence of decoherence due to photon absorpation is considered. It is shown that decoherence can improve the mean fidelity of probabilistic teleportation in some situations.

Single-Mode Excited GHZ-type Entangled Coherent State

“…In order to observe the influence of the photon excitation on the EGHZECSs |φ(α, m) , we plot the concurrence C 1 (23) in (25) as a function of φ with |α| 2 = 0.2 in Fig. 1 for the for m = 0.…”

“…There have been a number of studies of ECS's revealing their quantum nonlocality [20,21]. ECSs have found useful to perform some tasks in quantum information processing [22][23][24][25]. Gerry et al [26] propose a method for generating ECSs of a two-mode field.…”

Quantum teleportation of an arbitrary two-mode coherent state using only linear optics elements

“…It is straightforward to derive similar results for Situations (11)- (13), with the re- 1 , P 2 = P 3 = P 4 = P 1 , P 2 = P 3 = P 4 = P 1 and P 2 = P 3 = P 4 = P 1 . To assess quality of the whole scheme we plot the average fidelity…”

“…The corresponding success probability P 3 is again 1/16. Situation (13). The state (5) collapses into…”

“…Enk and Hirota [11] (see also [12][13][14][15]) are the first who proposed a scheme to teleport a logical qubit of the form (1) with arbitrarily unknown coefficients x and y, using only passive linear optics by means of beam-splitters, phase-shifters and photon-number resolving detectors (PNRD). Recently, another kind of schemes based on nonlinear optics [16,17] has also been designed.…”