Evaluation of bipartite entanglement between two optical multi-mode systems using mode translation symmetry
學年 106
學期 1
出版(發表)日期 2017-10-25
作品名稱 Evaluation of bipartite entanglement between two optical multi-mode systems using mode translation symmetry
作品名稱(其他語言)
著者 Jun-Yi Wu; Holger F Hofmann
單位
出版者
著錄名稱、卷期、頁數 New J. Phys. 19, 103032
摘要 Optical multi-mode systems provide large scale Hilbert spaces that can be accessed and controlled using single photon sources, linear optics and photon detection. Here, we consider the bipartite entanglement generated by coherently distributing M photons in M modes to two separate locations, where linear optics and photon detection is used to verify the non-classical correlations between the two M-mode systems. We show that the entangled state is symmetric under mode shift operations performed in the two systems and use this symmetry to derive correlations between photon number distributions detected after a discrete Fourier transform (DFT) of the modes. The experimentally observable correlations can be explained by a simple and intuitive rule that relates the sum of the output mode indices to the eigenvalue of the input state under the mode shift operation. Since the photon number operators after the DFT do not commute with the initial photon number operators, entanglement is necessary to achieve strong correlations in both the initial mode photon numbers and the photon numbers observed after the DFT. We can therefore derive entanglement witnesses based on the experimentally observable correlations in both photon number distributions, providing a practical criterion for the evaluation of large scale entanglement in optical multi-mode systems. Our method thus demonstrates how non-classical signatures in large scale optical quantum circuits can be accessed experimentally by choosing an appropriate combination of modes in which to detect the photon number distributions that characterize the quantum coherences of the state.
關鍵字
語言 en_US
ISSN 1367-2630
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度
國別 GBR
公開徵稿
出版型式 ,電子版
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機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/120598 )