本文關(guān)鍵詞： 對(duì)角量子信道 糾錯(cuò)碼空間 壓縮矩陣 秩　出處：《數(shù)學(xué)學(xué)報(bào)(中文版)》2017年04期 　論文類型：期刊論文

【摘要】：通過量子信道的Kraus算子,提出了對(duì)角量子信道的概念,證明了對(duì)角量子信道的一些性質(zhì):一個(gè)量子信道成為對(duì)角量子信道的充要條件是所有對(duì)角矩陣都是它的不動(dòng)點(diǎn);同一對(duì)角量子信道的所有壓縮矩陣具有相同的秩;一個(gè)對(duì)角量子信道不可糾錯(cuò)的充要條件是其壓縮矩陣是行滿秩的.進(jìn)而證明了一個(gè)對(duì)角量子信道在整個(gè)空間上可糾錯(cuò)當(dāng)且僅當(dāng)其壓縮矩陣為1秩陣.最后,利用一個(gè)具體例子給出了構(gòu)造對(duì)角量子信道的碼空間的一種方法.
[Abstract]:Through the Kraus operator of quantum channel, the concept of diagonal quantum channel is proposed, and some properties of diagonal quantum channel are proved: if and only if a quantum channel becomes a diagonal quantum channel, all diagonal matrices are its fixed points; All compression matrices of the same pair of angular quantum channels have the same rank; It is proved that a diagonal quantum channel is error-correcting in the whole space if and only if its contraction matrix is a rank matrix. Finally, it is proved that a diagonal quantum channel is error-correcting if and only if it is a 1-rank matrix. A method of constructing the code space of diagonal quantum channel is given by an example.
【作者單位】： 陜西師范大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(11401359,11371012,11571211,11571213)
【分類號(hào)】：O177

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