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Chinese Physics Letters

Remotely Sharing a Single-Qubit Operation with a Five-Qubit Genuine State

Biao‐Liang Ye, Yimin Liu, Xian-Song Liu, Zhanjun Zhang

Published Feb 1, 2013• 44 citations
Publisher

Abstract

A three-party scheme for remotely sharing a single-qubit operation with Brown state and local operation and classical communication is proposed. Some discussions are made to show its important features, including determinacy symmetry, security, expansibility and nowaday's experimental feasibility.
DOI
10.1088/0256-307x/30/2/020301

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Abstract A four-party deterministic single-qubit operation sharing scheme is proposed by using a generalized seven-qubit Brown state in a given qubit distribution as the quantum channel. Its security is confirmed via analyses. The sharing determinacy and the sharer symmetry of the scheme are identified. The experimental feasibility of the scheme is confirmed through discussions. Moreover, the scheme is compared with a competing one which utilizes the same quantum channel. It is found that the present scheme reduces the necessary operations and two-qubit unitary operation types as well as the classical communication cost. The decreases of both the necessary operation complexity and the classical communication cost eventually mean both the increase of the scheme efficiency and the decrease of the resource consumption. Consequently, the present scheme is superior to the competing one.
A probabilistic tripartite single-qubit operation sharing scheme is put forward by utilizing a two-qubit and a three-qubit non-maximally entangled state as quantum channels. Some specific comparisons between our scheme and another probabilistic scheme are made. It is found that, if the product of the two minimal coefficients characterizing channel entanglements is greater than 3/16, our scheme is more superior than the other one. Nonetheless, the price is that more classical and quantum resources are consumed, and the operation difficulty is rather increased. Moreover, some important features of the scheme, such as its security, probability and sharer symmetry, are revealed through concrete discussions. Additionally, the experimental feasibility of our scheme is analyzed and subsequently confirmed according to the current experimental techniques.