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International Journal of Theoretical Physics

, Volume 52, Issue 1, pp 253–265 | Cite as

Quantum Tasks with Non-maximally Quantum Channels via Positive Operator-Valued Measurement

  • Jia-Yin Peng
  • Ming-Xing Luo
  • Zhi-Wen Mo
Article

Abstract

By using a proper positive operator-valued measure (POVM), we present two new schemes for probabilistic transmission with non-maximally four-particle cluster states. In the first scheme, we demonstrate that two non-maximally four-particle cluster states can be used to realize probabilistically sharing an unknown three-particle GHZ-type state within either distant agent’s place. In the second protocol, we demonstrate that a non-maximally four-particle cluster state can be used to teleport an arbitrary unknown multi-particle state in a probabilistic manner with appropriate unitary operations and POVM. Moreover the total success probability of these two schemes are also worked out.

Keywords

Quantum task Non-maximally cluster state Positive operator-valued measurement Bell-basis measurement 

Notes

Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 61003287) and the Fundamental Research Funds for the Central Universities (No. SWJT U11BR174).

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.School of Mathematics and Information ScienceNeijiang Normal UniversityNeijiangChina
  2. 2.School of Mathematics and Software ScienceSichuan Normal UniversityChengduChina
  3. 3.Information Security and National Computing Grid Laboratory, School of Information Science and TechnologySouthwest Jiaotong UniversityChengduChina

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