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Entropy 2016, 18(7), 267; doi:10.3390/e18070267

Novel Criteria for Deterministic Remote State Preparation via the Entangled Six-Qubit State

1,2,3
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2,3,* , 2
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2
,
4
and
3
1
School of Software Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China
2
Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China
3
Department of Computer Science, University of Calgary, Calgary, AB T2N 1N4, Canada
4
School of Information Engineering, Inner Mongolia University of Science and Technology, Baotou 014010, China
*
Author to whom correspondence should be addressed.
Academic Editors: Jay Lawrence and Kevin H. Knuth
Received: 29 April 2016 / Revised: 28 June 2016 / Accepted: 14 July 2016 / Published: 20 July 2016
(This article belongs to the Special Issue Quantum Information 2016)
View Full-Text   |   Download PDF [583 KB, uploaded 20 July 2016]   |  

Abstract

In this paper, our concern is to design some criteria for deterministic remote state preparation for preparing an arbitrary three-particle state via a genuinely entangled six-qubit state. First, we put forward two schemes in both the real and complex Hilbert space, respectively. Using an appropriate set of eight-qubit measurement basis, the remote three-qubit preparation is completed with unit success probability. Departing from previous research, our protocol has a salient feature in that the serviceable measurement basis only contains the initial coefficients and their conjugate values. By utilizing the permutation group, it is convenient to provide the permutation relationship between coefficients. Second, our ideas and methods can also be generalized to the situation of preparing an arbitrary N-particle state in complex case by taking advantage of Bell states as quantum resources. More importantly, criteria satisfied conditions for preparation with 100% success probability in complex Hilbert space is summarized. Third, the classical communication costs of our scheme are calculated to determine the classical recourses required. It is also worth mentioning that our protocol has higher efficiency and lower resource costs compared with the other papers. View Full-Text
Keywords: criteria; deterministic remote state preparation; entangled six-qubit state; permutation group criteria; deterministic remote state preparation; entangled six-qubit state; permutation group
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MDPI and ACS Style

Xu, G.; Chen, X.-B.; Dou, Z.; Li, J.; Liu, X.; Li, Z. Novel Criteria for Deterministic Remote State Preparation via the Entangled Six-Qubit State. Entropy 2016, 18, 267.

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