Quantifying Quantum Correlation of Quasi-Werner State and Probing Its Suitability for Quantum Teleportation,Annalen Der Physik

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Quantifying Quantum Correlation of Quasi-Werner State and Probing Its Suitability for Quantum Teleportation
Annalen Der Physik ( IF 2.2 ) Pub Date : 2021-07-05 , DOI: 10.1002/andp.202100201
Arpita Chatterjee ₁ , Kishore Thapliyal ₂ , Anirban Pathak ₃

Affiliation

The significance of photon addition in engineering the single- and two-mode (bipartite correlations) nonclassical properties of a quantum state is investigated. Specifically, the behavior of the Wigner function of two quasi-Werner states constructed by superposing two normalized bipartite m-photon added coherent states are analyzed. This allows the authors' to quantify the nonclassicality present in the quantum states using Wigner logarithmic negativity (WLN), while quantum correlations are measured using concurrence, entanglement of formation, and quantum discord. The WLN for a two-mode state corresponds to the sum of the single-mode nonclassicality and quantum correlations, and both of these are observed to enhance with photon addition manifesting the efficacy of photon addition in the entanglement distillation. Usefulness of photon addition is further established by showing that the performance of the quasi-Werner states as quantum channel for the teleportation of single-mode coherent and squeezed states, as quantified via teleportation fidelity, improves with the photon addition. The non-Gaussian operation is shown effective in stalling the detrimental effects of transmission through noisy channel and/or inefficient detection under realistic scenario. Further, in contrast to a set of existing results, it is established that the negative values of two-mode Wigner function is not a witness of quantum correlation.

中文翻译：

量化准维尔纳态的量子相关性及其对量子隐形传态的适用性

研究了光子添加在设计量子态的单模和双模（二分相关）非经典特性中的重要性。具体来说，通过叠加两个归一化二分m构造的两个拟维尔纳状态的 Wigner 函数的行为- 光子添加相干状态进行分析。这使作者能够使用 Wigner 对数负性 (WLN) 量化量子态中存在的非经典性，而量子相关性是使用并发、形成纠缠和量子不和谐来测量的。双模态的 WLN 对应于单模非经典性和量子相关性的总和，并且观察到这两者都随着光子添加而增强，这表明光子添加在纠缠蒸馏中的功效。通过证明准维尔纳态作为单模相干态和压缩态隐形传态的量子通道的性能（如通过隐形传态保真度量化）随着光子的增加而提高，进一步确立了光子加法的有用性。在实际情况下，非高斯操作在阻止通过嘈杂信道和/或低效检测传输的不利影响方面是有效的。此外，与一组现有结果相比，已确定双模式 Wigner 函数的负值不是量子相关性的见证。

更新日期：2021-07-05

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