中国物理B ›› 2006, Vol. 15 ›› Issue (3): 482-487.doi: 10.1088/1009-1963/15/3/005

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Quantum circuits for realizing deterministic and exact teleportation via two partially entangled pairs of particles

李文东, 张建立, 顾永建   

  1. Department of Physics, Ocean University of China, Qingdao 266071, China
  • 收稿日期:2005-09-10 修回日期:2005-10-18 出版日期:2006-03-20 发布日期:2006-03-20
  • 基金资助:
    Project supported by the National Key Basic Research Special Foundation of China (Grant No 2001CB309305),the National Natural Science Foundation of China (Grant No 10204020) and the Scientific Research Foundation for Introduced Talent of Ocean University of China.

Quantum circuits for realizing deterministic and exact teleportation via two partially entangled pairs of particles

Li Wen-Dong (李文东), Zhang Jian-Li (张建立), Gu Yong-Jian (顾永建)   

  1. Department of Physics, Ocean University of China, Qingdao 266071, China
  • Received:2005-09-10 Revised:2005-10-18 Online:2006-03-20 Published:2006-03-20
  • Supported by:
    Project supported by the National Key Basic Research Special Foundation of China (Grant No 2001CB309305),the National Natural Science Foundation of China (Grant No 10204020) and the Scientific Research Foundation for Introduced Talent of Ocean University of China.

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摘要： Deterministic and exact teleportation can be achieved via two partially entangled pairs of particles [Gu Y J 2006 {\em Opt. Comm.} {\bf 259} 385]. The key point of the protocol is a generalized measurement described by a positive operator-valued measure, which can be realized by performing a unitary operation in the extended space and a conventional Von Neumann orthogonal measurement. By decomposing the evolution process from the initial state to the final state, we construct the quantum circuits for realizing the unitary operation with quantum Toffoli gates, and thus provide a physical means to realize the teleportation. Our method for constructing quantum circuits differs from the usual methods based on decomposition of unitary matrices, and is convenient for a large class of quantum processes involving generalized measurements.

关键词: quantum circuit, teleportation, partially entangled state, generalized measurement

Abstract: Deterministic and exact teleportation can be achieved via two partially entangled pairs of particles [Gu Y J 2006 Opt. Comm. 259 385]. The key point of the protocol is a generalized measurement described by a positive operator-valued measure, which can be realized by performing a unitary operation in the extended space and a conventional Von Neumann orthogonal measurement. By decomposing the evolution process from the initial state to the final state, we construct the quantum circuits for realizing the unitary operation with quantum Toffoli gates, and thus provide a physical means to realize the teleportation. Our method for constructing quantum circuits differs from the usual methods based on decomposition of unitary matrices, and is convenient for a large class of quantum processes involving generalized measurements.

Key words: quantum circuit, teleportation, partially entangled state, generalized measurement

中图分类号:  (Quantum communication)

  • 03.67.Hk
03.67.Mn (Entanglement measures, witnesses, and other characterizations) 03.65.Ta (Foundations of quantum mechanics; measurement theory) 03.67.Lx (Quantum computation architectures and implementations) 02.10.Yn (Matrix theory) 02.30.Tb (Operator theory)