多方控制量子通信协议

doi:10.11959/j.issn.1000-436x.2015221

Abstract

Abstract:

In order to satisfy the requirements of long-distance multi-node quantum networks，two multi-party controlledquantum communication protocols are put forward via maximally and partially entangled quantum channels.For the maximally entangled channels,projective measurements are used to realizemulti-party controlled joint remote preparation of an arbitrary four-qubitX-state.For the partially entangled channels,collective unitary operations and optimal positive operator-valued measures are used to realize multi-party controlled joint remote preparation of an arbitrary four-qubitX-state.The theoretical analysis shows that the efficiency of the first scheme can be up to 100% which is suprior to that of others.In addition,the efficiency of the second scheme is effectively improved and the way to be used to construct two kinds of measurement methods can be utilized in the similar protocols.

Key words: multiparty controlled protocol, four-qubit X-state, joint unitary operation, optimal positive operator-valued measure

Li-wei CHANG,Shi-hui ZHENG,Li-ze GU,Min LEI,Yi-xian YANG. Multi-party controlled quantum communication protocol[J]. Journal on Communications, 2015, 36(6): 139-148.

Figures/Tables 5

m₁	m₂	U_D
00	00	$I_{4 N + 1} \otimes σ_{4 N + 2}^{x} \otimes σ_{4 N + 2}^{z} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x} σ_{4 N + 4}^{z}$
00	01	$σ_{4 N + 1}^{z} \otimes σ_{4 N + 2}^{x} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x} σ_{4 N + 4}^{z}$
00	10	$I_{4 N + 1} \otimes σ_{4 N + 2}^{x} \otimes σ_{4 N + 2}^{z} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x}$
00	11	$σ_{4 N + 1}^{z} \otimes σ_{4 N + 2}^{x} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x}$
01	00	$σ_{4 N + 1}^{z} \otimes σ_{4 N + 2}^{x} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x} σ_{4 N + 4}^{z}$
01	01	$I_{4 N + 1} \otimes σ_{4 N + 2}^{x} \otimes σ_{4 N + 2}^{z} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x} σ_{4 N + 4}^{z}$
01	10	$σ_{4 N + 1}^{z} \otimes σ_{4 N + 2}^{x} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x}$
01	11	$I_{4 N + 1} \otimes σ_{4 N + 2}^{x} \otimes σ_{4 N + 2}^{z} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x}$
10	00	$I_{4 N + 1} \otimes σ_{4 N + 2}^{x} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x} σ_{4 N + 4}^{z}$
10	01	$I_{4 N + 1} \otimes σ_{4 N + 2}^{x} \otimes σ_{4 N + 3}^{z} \otimes σ_{4 N + 4}^{x}$
10	10	$I_{4 N + 1} \otimes σ_{4 N + 2}^{x} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x}$
10	11	$σ_{4 N + 1}^{z} \otimes σ_{4 N + 2}^{x} σ_{4 N + 2}^{x} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x}$
11	00	$I_{4 N + 1} \otimes σ_{4 N + 2}^{x} \otimes σ_{4 N + 3}^{z} \otimes σ_{4 N + 4}^{x}$
11	01	$I_{4 N + 1} \otimes σ_{4 N + 2}^{x} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x} σ_{4 N + 4}^{z}$
11	10	$σ_{4 N + 1}^{z} \otimes σ_{4 N + 2}^{x} σ_{4 N + 2}^{z} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x}$
11	11	$I_{4 N + 1} \otimes σ_{4 N + 2}^{x} \otimes I_{4 N + 3} \otimes σ_{4 N + 4}^{x}$

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方法	恢复操作维数	辅助粒子个数	协议成功效率
方法1	16	1	²16\|a₁ b₁ c₁ d₁\|
方法2	8	3	16μ ²

Multi-party controlled quantum communication protocol

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