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arXiv:quant-ph/9904028 · Physical Review A

Teleportation of a zero- and one-photon running-wave state by projection synthesis

Celso J. Villas-Bôas, N. G. de Almeida, M. H. Y. Moussa

Published Oct 1, 1999• 51 citations
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Abstract

We show how to teleport a running-wave superposition of zero- and one-photon field states through the projection-synthesis technique. The fidelity of the scheme is computed taking into account the noise introduced by dissipation and the efficiency of the detectors. These error sources have been introduced through a single general relationship between input and output operators.

DOI
10.1103/physreva.60.2759

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We show how to teleport a running-wave superposition of zero- and one-photon field states through the projection-synthesis technique. The fidelity of the scheme is computed taking into account the noise introduced by dissipation and the efficiency of the detectors. These error sources have been introduced through a single general relationship between input and output operators.
We describe a scheme for the teleportation of entanglements of zero- and one-photon running-wave field states. In addition to linear optical elements, Kerr nonlinearity is also employed so as to achieve a 100% probability of success in the ideal case. A comprehensive phenomenological treatment of errors in the domain of running-wave physics, for linear and nonlinear optical elements, is also given, making it possible to calculate the fidelity of the teleportation process. A strategy for carrying out the Bell-type measurement which is able to probe the absorption of photons in the optical elements is adopted. Such strategy, combined with usually small damping constants characterizing the optical devices, results in a high fidelity for the teleportation process. The feasibility of the proposed scheme relies on the fact that the Kerr nonlinearity it demands can be achieved through the recently reported ultraslow light propagation in cold atomic media [Phys. Rev. Lett. 84, 1419 (2000)].
We describe a scheme for the teleportation of entanglements of zero- and one-photon running-wave field states. In addition to linear optical elements, Kerr nonlinearity is also employed so as to achieve a 100% probability of success in the ideal case. A comprehensive phenomenological treatment of errors in the domain of running-wave physics, for linear and nonlinear optical elements, is also given, making it possible to calculate the fidelity of the teleportation process. A strategy for carrying out the Bell-type measurement which is able to probe the absorption of photons in the optical elements is adopted. Such strategy, combined with usually small damping constants characterizing the optical devices, results in a high fidelity for the teleportation process. The feasibility of the proposed scheme relies on the fact that the Kerr nonlinearity it demands can be achieved through the recently reported ultraslow light propagation in cold atomic media [Phys. Rev. Lett. 84, 1419 (2000); Phys. Rev. A 65, 033833 (2002)].
The quantum teleportation of a single-mode thermal state of a light field is discussed using the projection synthesis technique in the Schrodinger picture. The statistical distance (SD) between the teleported input and output states is introduced to evaluate the efficiency of single-mode thermal state teleportation. For a given system and available entanglement, both the SD and classical boundary depend on the mean photon numbers of the teleported thermal light field. The dependences of the SD on the normalized classical gain, EPR (Einstein–Podolsky–Rosen) entanglement and mean photon numbers of the thermal field are calculated.
A recent work [Pegg et al., Phys. Rev. Lett. 81, 1604 (1998)] showed how to generate a running-wave superposition of zero- and one-photon field states, C0∣0〉+C1∣1〉,{C}_{0}|0〉{+C}_{1}|1〉,C0​∣0〉+C1​∣1〉, by physical truncation of the photon number superposition making up a coherent state. Here we discuss the extension of this device to the case of N components: ${C}_{0}|0〉{+C}_{1}|1〉+\ensuremath{\cdot}\ensuremath{\cdot}\ensuremath{\cdot}{+C}_{N}|N〉.$
In this paper we analyze the fidelity of the output states in the experimental quantum teleportation of photons, while taking into account the main experimental parameters. In particular, we consider the detector's ability to distinguish photon numbers, the quantum efficiency of the detectors, and the purity of entangled photon pairs. As a result, it is found that high-fidelity quantum teleportation, without the receiver feedback check, is realizable with multiphoton counters and conventional entangled pairs (visibility=90%) within a day.