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Bidirectional Controlled Remote Implementation of an Arbitrary Single Qubit Unitary Operation with EPR and Cluster States

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Abstract

We present a scheme for bidirectional controlled implementation of arbitrary single qubit operations by using two EPR states and a five-qubit cluster state as the quantum channel. Alice can implement an unknown single-qubit unitary operation on the remote Bob’s quantum system and at the same time, Bob can also remotely implement an arbitrary single-qubit unitary operation on Alice’s quantum system if they cooperate with the controller. We also study the bidirectional controlled implementation of unitary operations belonging to the restricted sets. It is shown that receivers can prepare the target state by performing corresponding unitary operations on their entangled particles if they cooperate with the controller.

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Acknowledgments

This work was supported by Excellent Talents in Guangxi Higher Education Institutions under Grant No. [2012]41, Key program of Guangxi University for Nationalities under Grant No. [2011]317, Open Fund of Guangxi Key laboratory of hybrid computation and IC design analysis under Grant No. HCIC201309 and the Bagui Scholarship Project.

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Authors and Affiliations

  1. School of Science, Guangxi University for Nationalities, Nanning, 530006, China

    Yan-He He, Qiu-Chun Lu, Yue-Ming Liao, Xing-Chen Qin, Jian-Sheng Qin & Ping Zhou

  2. Guangxi Key Laboratory of Hybrid Computational and IC Design Analysi, Guangxi University for Nationalities, Nanning, 530006, China

    Ping Zhou

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  1. Yan-He He
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  2. Qiu-Chun Lu
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  3. Yue-Ming Liao
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  5. Jian-Sheng Qin
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Correspondence to Ping Zhou.

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He, YH., Lu, QC., Liao, YM. et al. Bidirectional Controlled Remote Implementation of an Arbitrary Single Qubit Unitary Operation with EPR and Cluster States. Int J Theor Phys 54, 1726–1736 (2015). https://doi.org/10.1007/s10773-014-2374-4

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