Optimally Displaced Threshold Detection for Discriminating Binary Coherent States Using Imperfect Devices

Yuan Renzhi; Zhao Mufei; Han Shuai; Cheng Julian

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Optimally Displaced Threshold Detection for Discriminating Binary Coherent States Using Imperfect Devices

機譯：最佳位移閾值檢測，用于使用不完美設備判斷二進制相干狀態

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Because of the potential applications in quantum information processing tasks, discrimination of binary coherent states using generalized Kennedy receiver with maximum a posteriori probability (MAP) detection has attracted increasing attentions in recent years. In this paper, we analytically study the performance of the generalized Kennedy receiver having optimally displaced threshold detection (ODTD) in a realistic situation with noises and imperfect devices. We first prove that the MAP detection for a generalized Kennedy receiver is equivalent to a threshold detection in this realistic situation. Then we analyze the properties of the optimum threshold and the optimum displacement for ODTD, and propose a heuristic greedy search algorithm to design these parameters. We prove that the ODTD asymptotically approaches the Kennedy receiver with threshold detection when the signal power is large, and we also clarify the connection between the generalized Kennedy receiver with threshold detection and the one-port homodyne detection. Numerical results show that the proposed heuristic greedy search algorithm can obtain a lower and smoother error probability than the existing methods.

機譯：由于量子信息處理任務中的潛在應用，近年來，使用具有最大后驗驗概率（MAP）檢測的廣義肯尼迪接收器的二進制相干狀態的判斷引起了近年來的提高。在本文中，我們分析了在具有噪聲和不完美器件的現實情況下具有最佳位移閾值檢測（ODTD）的廣義肯尼迪接收器的性能。我們首先證明了一般性肯尼迪接收器的地圖檢測相當于這種現實情況的閾值檢測。然后，我們分析最佳閾值的屬性和ODTD的最佳位移，并提出了一種啟發式貪婪搜索算法來設計這些參數。我們證明，當信號功率大時，odtd漸近漸近接近閾值接收器，并且當信號功率大時，我們還闡明了具有閾值檢測的廣義蓋因地接收器與單端口雜交檢測之間的連接。數值結果表明，所提出的啟發式貪婪搜索算法可以獲得比現有方法更低和更光滑的誤差概率。

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《IEEE Transactions on Communications》 |2021年第4期|2546-2556|共11頁
作者
Yuan Renzhi; Zhao Mufei; Han Shuai; Cheng Julian;
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作者單位

Univ British Columbia Sch Engn Kelowna BC V1V 1V7 Canada;

Harbin Inst Technol Commun Res Ctr Harbin 150080 Peoples R China;

Harbin Inst Technol Commun Res Ctr Harbin 150080 Peoples R China;

Univ British Columbia Sch Engn Kelowna BC V1V 1V7 Canada;

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正文語種 eng
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Receivers; Thermal noise; Photonics; Pollution measurement; Q measurement; Performance evaluation; Error probability; Kennedy receiver; optimal displacement; threshold detection; thermal noise;

機譯：接收器;熱噪聲;光子學;污染測量;Q測量;績效評估;誤差概率;肯尼迪接收器;最佳位移;閾值檢測;熱噪聲;熱噪聲;熱噪聲;

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Optimally Displaced Threshold Detection for Discriminating Binary Coherent States Using Imperfect Devices

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