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Phys. Rev. A 72, 062329 (2005) [6 pages]

Quantum-state transfer characterized by mode entanglement

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Xiao-Feng Qian1,2, Ying Li1, Yong Li2, Z. Song1,*, and C. P. Sun1,2,†
1Department of Physics, Nankai University, Tianjin 300071, China
2Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100080, China

Received 23 June 2005; published 30 December 2005

We study the quantum-state transfer (QST) of a class of tight-bonding Bloch electron systems with mirror symmetry by considering the mode entanglement. Some rigorous results are obtained to reveal the intrinsic relationship between the fidelity of QST and the mirror mode concurrence (MMC), which is defined to measure the mode entanglement with a certain spatial symmetry and is just the overlap of a proper wave function with its mirror image. A complementarity is discovered as the maximum fidelity is accompanied by a minimum of the MMC. At the instant that is just half of the characteristic time required to accomplish a perfect QST, the MMC can reach its maximum value of 1. A large class of perfect QST models with a certain spectral structure is discovered to support our analytical results.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.062329
DOI:
10.1103/PhysRevA.72.062329
PACS:
03.67.Mn, 71.10.Fd, 03.65.Ud

*Electronic address: Songtc@nankai.edu.cn

Electronic address: Suncp@itp.ac.cn;http.itp.ac.cn/̃suncp