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IEEE Journal of Selected Topics in Quantum Electronics

Error models for long-distance Qubit teleportation

Brent J. Yen, Jeffrey H. Shapiro

Published Nov 1, 2003• 6 citations
Publisher

Abstract

A recent proposal for realizing long-distance, high-fidelity qubit teleportation is reviewed. This quantum communication architecture relies on an ultrabright source of polarization-entangled photons plus a pair of trapped-atom quantum memories, and it is compatible with long-distance transmission over standard telecommunication fiber. Models are developed for assessing the effects of amplitude, phase, and frequency errors in the entanglement source, as well as fiber loss and imperfect polarization restoration, on the throughput and fidelity of the system.

DOI
10.1109/jstqe.2003.820906

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A recent proposal for realizing long-distance, high-fidelity qubit teleportation is reviewed. This quantum communication architecture relies on an ultrabright source of polarization-entangled photons plus a pair of trapped-atom quantum memories, and it is compatible with long-distance transmission over standard telecommunication fiber. Models are developed for assessing the effects of amplitude, phase, and frequency errors in the entanglement source, as well as fiber loss and imperfect polarization restoration, on the throughput and fidelity of the system.
A quantum communication architecture is being developed for long-distance, high-fidelity qubit teleportation. It uses an ultrabright narrowband source of polarization-entangled photons, plus trapped-atom quantum memories, and it is compatible with long-distance transmission over standard telecommunication fiber. This paper reports error models for the preceding teleportation architecture, and for an extension thereto which enables long-distance transmission and storage of Greenberger-Horne-Zeilinger states. The use of quantum error correction or entanglement purification to improve the performance of these quantum communication architectures is also discussed.
A quantum communication architecture is being developed for long-distance, high-fidelity transmission and storage of Greenberger-Horne-Zeilinger states. This system uses an ultrabright narrowband source of polarization-entangled photons plus trapped-atom quantum memories, and it is compatible with long-distance transmission over standard telecommunication fiber. An error model for the preceding architecture is derived, and the use of quantum error correction or entanglement purification protocols to improve the performance of this quantum communication system is also discussed.
The architecture proposed by Duan, Lukin, Cirac, and Zoller (DLCZ) for long-distance quantum communication with atomic ensembles is analyzed. Its fidelity and throughput in entanglement distribution, entanglement swapping, and quantum teleportation is derived within a framework that accounts for multiple excitations in the ensembles as well as loss and asymmetries in the channel. The DLCZ performance metrics that are obtained are compared to the corresponding results for the trapped-atom quantum communication architecture that has been proposed by a team from the Massachusetts Institute of Technology and Northwestern University (MIT and NU). Both systems are found to be capable of high-fidelity entanglement distribution. However, the DLCZ scheme only provides conditional teleportation and repeater operation, whereas the MIT-NU architecture affords full Bell-state measurements on its trapped atoms. Moreover, it is shown that achieving unity conditional fidelity in DLCZ teleportation and repeater operation requires ideal photon-number resolving detectors. The maximum conditional fidelities for DLCZ teleportation and repeater operation that can be realized with nonresolving detectors are 1/2 and 2/3, respectively.