弱测量下噪声环境的多粒子短距离隐形传态

doi:10.6040/j.issn.1671-9352.0.2023.007

摘要/Abstract

摘要：

首先利用一个三粒子最大纠缠态和一个处于基态|0?的辅助粒子作为量子信道, 提出传输一个未知三粒子GHZ(Greenberger-Horne-Zeilinger)态的确定性新方案, 在该方案中, 发送者和接收者同时分享辅助粒子, 双方都需要对这个分享的辅助粒子执行量子门操作。结果表明: 该方案节省了量子纠缠资源, 缩短隐形传态距离, 而且可以被推广成多粒子GHZ态的隐形传态; 进一步以振幅阻尼信道为例, 讨论量子噪声对该方案的影响, 获得了隐形传态的保真度, 并分析弱测量及其反转测量对噪声方案的影响, 发现对于具体的GHZ态而言, 弱测量及其反转测量会抑制或恶化噪声对其隐形传态保真度的衰退。

关键词: 短距离隐形传态, GHZ态, 振幅阻尼, 弱测量

Abstract:

Using a three-particle maximally entangled state and an auxiliary particle in the ground state |0? as the quantum channel, a new deterministic scheme for transmitting an unknown three-particle GHZ (Greenberger-Horne-Zeilinger) state is proposing. In this scheme, the sender and the receiver share the auxiliary particle at the same time, and both parties need to perform quantum gate operation on the shared auxiliary particle. The results show that the scheme saves quantum entanglement resources but shortens the teleportation distance, and can be extended to the teleportation of multi-particle GHZ state. Furthermore, taking the amplitude damping channel as an example, the influence of quantum noise on the scheme is discussed, and the fidelity of teleportation is obtained. The influence of weak measurement and its reversal measurement on the noise scheme is analyzed. It is found that for a specific GHZ state, the weak measurement and its reversal measurement will suppress or deteriorate the degradation of the fidelity of its teleportation caused by noise.

Key words: short-distance teleportation, GHZ state, amplitude damping, weak measurement

中图分类号:

O431.2

刘淼,彭家寅,汤建钢. 弱测量下噪声环境的多粒子短距离隐形传态[J]. 《山东大学学报(理学版)》, 2024, 59(8): 103-112.

Miao LIU,Jiayin PENG,Jiangang TANG. Multi-particle short-distance teleportation in noisy environment with weak measurement[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(8): 103-112.

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测量结果	塌陷态	恢复酉变换
\|0001?或者\|1101?	α\|000?+_β\|111?	σ₀⊗σ₀⊗σ₀
\|0101?或者\|1001?	α\|000?-_β\|111?	σ₀⊗σ₀⊗σ_z
\|0011?或者\|1111?	α\|001?+_β\|110?	σ₀⊗σ₀⊗σ_x
\|0111?或者\|1011?	α\|001?-_β\|110?	σ₀⊗σ₀⊗iσ_y
\|0000?或者\|1100?	α\|001?+_β\|001?	σ_x⊗σ_x⊗σ₀
\|0100?或者\|1000?	α\|001?-_β\|001?	σ_x⊗σ_x⊗σ_z
\|0010?或者\|1110?	α\|111?+_β\|000?	σ_x⊗σ_x⊗σ_x
\|0110?或者\|1010?	α\|111?+_β\|000?	σ_x⊗σ_x⊗iσ_y

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