基於雙模壓縮編碼形式之量子糾錯方案

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姓名	胡敦棋(Dun-Qi Hu) 查詢紙本館藏	畢業系所	通訊工程學系
論文名稱	基於雙模壓縮編碼形式之量子糾錯方案 (Quantum Error Correction Based on Two-Mode Squeezing Code)
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摘要(中)	近年來，隨著量子科技的高速發展，已經有許多量子通訊的實際應用出現在生活中，各國對於量子通訊的意識也越發興盛。然而，量子通訊仍然面臨許多挑戰，其中之一就是高斯誤差，因此量子糾錯尤為重要，目前提出的量子糾錯方案大多是針對離散變量系統，對於連續變量系統的量子糾錯方案仍有待發展。而本篇論文討論的範疇就是連續變量系統中的量子糾錯，根據學者所提出的GKP two-mode squeezing code，能有效的針對高斯誤差進行量子糾錯，但目前的技術尚無法製備標準的GKP state，因此我們將其進行改良，提出較易實現的squeezed state two-mode squeezing code，透過數值分析以及實驗模擬來證實squeezed state two-mode squeezing code的可行性，在結合實用性的同時以實現連續變量系統中的量子糾錯。
摘要(英)	In recent years, with the rapid development of quantum technology, there have been numerous practical applications of quantum communication in daily life. Countries around the world are increasingly aware of the importance of quantum communication. However, quantum communication still faces many challenges, one of which is Gaussian errors. Therefore, quantum error correction plays a crucial role. Most of the proposed quantum error correction schemes are designed for discrete variable systems, and there is still room for development in quantum error correction schemes for continuous variable systems. This paper focuses on quantum error correction in continuous variable systems. Based on the GKP two-mode squeezing code proposed by scholars, effective quantum error correction for Gaussian errors can be achieved. However, current technology has not been able to produce standard GKP states. Therefore, we propose an improved and more feasible approach called the squeezed state two-mode squeezing code. We demonstrate the feasibility of the squeezed state two-mode squeezing code through numerical analysis and experimental simulations. This approach combines practicality with the goal of achieving quantum error correction in continuous variable systems.
關鍵字(中)	★ 量子糾錯 ★ 量子訊息處理	關鍵字(英)	★ two-mode squeezing code ★ GKP state ★ squeezed state
論文目次	目錄摘要 i Abstract ii 目錄 iii 圖目錄 iv 第一章序論 1 1.1研究背景 1 1.2研究動機與目的 2 1.3論文大綱 3 第二章 GKP two-mode squeezing code 4 2.1 GKP state介紹 4 2.2 GKP two-mode squeezing code系統描述 6 2.3 GKP two-mode squeezing code解析 9 2.4 小結 14 第三章 Squeezed state two-mode squeezing code 15 3.1 Squeezed state介紹 15 3.2 Squeezed state two-mode squeezing code系統描述 18 3.3 Squeezed state two-mode squeezing code解析 21 第四章模擬結果與討論 24 4.1 實驗方法 24 4.2 Squeezed state two-mode squeezing code模擬 25 4.3 Squeeze parameter riangle以及增益G對於系統之影響 30 第五章結論與未來展望 36 參考文獻 37
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指導教授	林嘉慶蔡秉儒	審核日期	2023-7-20
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