Optimal input states for quantifying the performance of continuous-variable unidirectional and bidirectional teleportation

Optimal input states for quantifying the performance of continuous-variable unidirectional and bidirectional teleportation
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DOI:
10.1103/physreva.107.062603
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发表时间:
2022-10
期刊:
影响因子:
2.9
通讯作者:
H. Mishra;Samad Khabbazi Oskouei;M. Wilde
H. Mishra;Samad Khabbazi Oskouei;M. Wilde
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
H. Mishra;Samad Khabbazi Oskouei;M. Wilde

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连续变量隐形传态是量子信息科学的基础协议。已经设计了许多实验来模拟现实条件下的理想隐形传态。在本文中,我们详细的分析方法来确定最佳的输入状态量化的CV单向和双向隐形传态的性能。我们考虑量化性能的度量是理想的隐形传态和实验实现之间的能量约束信道保真度,并且沿着这一点,我们的重点是确定最佳的输入状态,以区分理想的过程从实验之一。我们证明了,在一定的能量约束下,在单向,以及双向,隐形传态的最佳输入状态是一个有限的纠缠叠加的twin-Fock状态饱和的能量约束。此外,我们还证明了在相同的约束条件下,最优态是唯一的,即不存在其他的最优有限纠缠态。
Continuous-variable (CV) teleportation is a foundational protocol in quantum information science. A number of experiments have been designed to simulate ideal teleportation under realistic conditions. In this paper, we detail an analytical approach for determining optimal input states for quantifying the performance of CV unidirectional and bidirectional teleportation. The metric that we consider for quantifying performance is the energy-constrained channel fidelity between ideal teleportation and its experimental implementation, and along with this, our focus is on determining optimal input states for distinguishing the ideal process from the experimental one. We prove that, under certain energy constraints, the optimal input state in unidirectional, as well as bidirectional, teleportation is a finite entangled superposition of twin-Fock states saturating the energy constraint. Moreover, we also prove that, under the same constraints, the optimal states are unique; that is, there is no other optimal finite entangled superposition of twin-Fock states.