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Journal of Optics B Quantum and Semiclassical Optics

Teleportation of a coherent superposition state via a nonmaximally entangled coherent channel

Yi-Zhuang Zheng, Yongjian Gu, Guang‐Can Guo

Published Nov 29, 2002• 16 citations
Publisher

Abstract

We investigate the problem of teleportation of a superposition coherent state via a nonmaximally entangled coherent channel. Two strategies are considered to complete the task. The first one uses entanglement concentration to purify the channel to a maximally entangled one. The second one teleports the state through the nonmaximally entangled coherent channel directly. We find that the probabilities of successful teleportation for the two strategies depend on the amplitudes of the coherent states, and the mean fidelity of teleportation using the first strategy is always less than that using the second strategy.

DOI
10.1088/1464-4266/5/1/303

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We investigate the problem of teleportation of a superposition coherent state via a nonmaximally entangled coherent channel. Two strategies are considered to complete the task. The first one uses entanglement concentration to purify the channel to a maximally entangled one. The second one teleports the state through the nonmaximally entangled coherent channel directly. We find that the probabilities of successful teleportation for the two strategies depend on the amplitudes of the coherent states, and the mean fidelity of teleportation using the first strategy is always less than that using the second strategy.
We investigate the problemm of teleportation of a superposition coherent state with nonmaximally entangled coherent channel. Two strategies are considered to complete the task. The first one uses entanglement concentration to purify the channel to a maximally entangled one. The second one teleports the state through the nonmaximally entangled coherent channel directly. We find that the probabilities of successful teleportations for the two strategies are depend on the amplitudes of the coherent states and the mean fidelity of teleportation using the first strategy is always less than that of the second strategy.
We consider the problem of teleporting superposed coherent state using nonmaximally entangled coherent state (NMECS) as quantum channel and study the effect of entanglement on the quality of teleportation. Based on the amount of entanglement shared between the sender and the receiver, we propose two unitary operation strategies to be adopted by the receiver to recover replica of information state with as large a fidelity as possible, and analyzed the behavior of minimum average fidelity (MAF) and mean fidelity (MF) with respect to entanglement. It is fascinatingly found that if the maximally entangled coherent state used in previously proposed schemes is replaced by a particular NMECS, MAF of quantum teleportation increases appreciably at small coherent amplitudes. For coherent amplitudes with |α|2≤0.5, MECS gives higher MF, while for |α|2≥0.5, NMECS gives higher MF.
Quantum teleportation of qudits is revisited. In particular, we analyze the case where the quantum channel corresponds to a nonmaximally entangled state and show that the success of the protocol is directly related to the problem of distinguishing nonorthogonal quantum states. The teleportation channel can be seen as a coherent superposition of two channels, one of them being a maximally entangled state, thus leading to perfect teleportation, and the other, corresponding to a nonmaximally entangled state living in a subspace of the d-dimensional Hilbert space. The second channel leads to a teleported state with reduced fidelity. We calculate the average fidelity of the process and show its optimality.
We consider the problem of teleporting superposed coherent state using non-maximally entangled coherent state as quantum channel and study the effect of entanglement over quality of teleportation. We show that if maximally entangled coherent state (MECS) used by Van Enk and Hirota [Phys. Rev. A 64, 022313 (2001)] and by H Prakash et al. [Phys. Rev. A 75, 044305 (2007)] is replaced by a particular non-maximally entangled coherent state (NMECS), average fidelity of quantum teleportation increases appreciably at small coherent amplitudes. Since it is very challenging to produce superposed coherent states of large coherent amplitudes, the particular NMECS appear to be a good quantum channel for teleportation at small coherent amplitudes for practical implementation.
An entangled two-mode coherent state is studied within the framework of 2\ifmmode\times\else\texttimes\fi{}2-dimensional Hilbert space. An entanglement concentration scheme based on joint Bell-state measurements is worked out. When the entangled coherent state is embedded in vacuum environment, its entanglement is degraded but not totally lost. It is found that the larger the initial coherent amplitude, the faster entanglement decreases. We investigate a scheme to teleport a coherent superposition state while considering a mixed quantum channel. We find that the decohered entangled coherent state may be useless for quantum teleportation as it gives the optimal fidelity of teleportation less than the classical limit 2/3.