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Possibility of Quantum Teleportation and the Reduced Density Matrix
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| ZHU Hong-Bo;ZENG Jin-Yan |
| Department of Physics, Peking University, Beijing 100871
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| Cite this article: |
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ZHU Hong-Bo, ZENG Jin-Yan 2001 Chin. Phys. Lett. 18 860-863 |
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Abstract It is shown that only the maximally entangled two-particle (spin 1/2) states whose one-particle reduced density matrix is ρ(i) = (1/2)I2 can realize the teleportation of an arbitrary one-particle spin state. Based on this, to teleport an arbitrary k-particle spin state, one must prepare an N-particle entangled state whose k-particle (k < N) reduced density matrix has the structure 2-kI2k (I2k being the 2k x 2k identity matrix). The N-particle Greenberger-Horne-Zeilinger states cannot realize the teleportation of an arbitrary k-particle (N > k ≥ 2) state, except for special states with only two components.
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| Keywords:
03.67.Hk
03.65.Bz
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Published: 01 July 2001
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