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Kluwer Academic Publishers eBooks

Complete Quantum Teleportation with a Crossed-Kerr Nonlinearity

David Vitali, Mauro Fortunato, P. Tombesi

Published Feb 24, 2006• 0 citations
Publisher

Abstract

We show how perfect Bell-state discrimination and complete quantum teleportation of the polarization state of a photon can he implemented employing a cross-Kerr medium. We show that, using the recently demonstrated ultraslow light propagation in coherent atomic media, the proposal can be realized with presently available technology.
DOI
10.1007/0-306-47114-0_58

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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)].
Quantum teleportation between polarized single-photon and phase-opposite coherent states is studied using a hybrid entangled resource and entangled coherent states. The polarized single-photon qubit represents a discrete-variable (DV) quantum system, whereas the phase-opposite coherent-state qubit constitutes a continuous-variable (CV) system. While teleportation from CV to DV can be achieved with near-unit success probability, the reverse process is usually limited to a maximum success probability of 1/21/21/2. We demonstrate that, by employing cross-Kerr nonlinearity together with passive linear optical components such as polarizing beam splitters, beam splitters, and phase shifters, almost perfect teleportation from DV to CV encodings can also be achieved.
In this paper, we propose a protocol for long-distance quantum teleportation of the unknown state of an atom trapped in an optical cavity to a second atom trapped in another distant optical cavity with the help of the cross-Kerr nonlinearity. The setup involves cavities QEDs and linear optical elements, which are feasible with existing experimental technology. More over, in Lame-Dicke limit, the protocol does not require the simultaneous click of the detectors. These make the protocol more realizable in experiments. We also show that the protocol can be successfully realized with a certain probability.