中国物理B ›› 2010, Vol. 19 ›› Issue (6): 60306-060306.doi: 10.1088/1674-1056/19/6/060306

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Noisy teleportation of qubit states via the Greenberger－Horne－Zeilinger state or the W state

李艳玲, 方卯发, 肖兴, 吴超, 侯丽珍   

  1. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control, Ministry of Education, College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2009-10-24 出版日期:2010-06-15 发布日期:2010-06-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No.~10374025), the Natural Science Foundation of Hunan Province of China (Grant No.~07JJ3013) and the Scientific Research Fund of the Educational Department of Hunan Province of

Noisy teleportation of qubit states via the Greenberger－Horne－Zeilinger state or the W state

Li Yan-Ling(李艳玲), Fang Mao-Fa(方卯发)†, Xiao Xing(肖兴), Wu Chao(吴超), and Hou Li-Zhen(侯丽珍)   

  1. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control, Ministry of Education, College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • Received:2009-10-24 Online:2010-06-15 Published:2010-06-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No.~10374025), the Natural Science Foundation of Hunan Province of China (Grant No.~07JJ3013) and the Scientific Research Fund of the Educational Department of Hunan Province of

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摘要： The effects of distributing entanglement through the amplitude damping channel or the phase damping channel on the teleportation of a single-qubit state via the Greenberger--Horne--Zeilinger state and the W state are discussed. It is found that the average fidelity of teleportation depends on the type and rate of the damping in the channel. For the one-qubit affected case, the Greenberger--Horne--Zeilinger state is as robust as the W state, i.e., the same quantum information is preserved through teleportation. For the two-qubit affected case, the W state is more robust when the entanglement is distributed via the amplitude damping channel; if the entanglement is distributed via the phase damping channel, the W state is more robust when the noisy parameter is small while the Greenberger--Horne--Zeilinger state becomes more robust when it is large. For the three-qubit affected case, the Greenberger--Horne--Zeilinger state is more robust than the W state.

Abstract: The effects of distributing entanglement through the amplitude damping channel or the phase damping channel on the teleportation of a single-qubit state via the Greenberger--Horne--Zeilinger state and the W state are discussed. It is found that the average fidelity of teleportation depends on the type and rate of the damping in the channel. For the one-qubit affected case, the Greenberger--Horne--Zeilinger state is as robust as the W state, i.e., the same quantum information is preserved through teleportation. For the two-qubit affected case, the W state is more robust when the entanglement is distributed via the amplitude damping channel; if the entanglement is distributed via the phase damping channel, the W state is more robust when the noisy parameter is small while the Greenberger--Horne--Zeilinger state becomes more robust when it is large. For the three-qubit affected case, the Greenberger--Horne--Zeilinger state is more robust than the W state.

Key words: noisy teleportation, amplitude damping channel, phase damping channel

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
03.67.Lx (Quantum computation architectures and implementations) 03.67.Hk (Quantum communication)