Properties of quantum gain of coding with information criterion by binary linear codes
Properties of quantum gain of coding with information criterion by binary linear codes
复制标题
二进制线性码信息准则编码的量子增益特性
DOI：
10.1541/ieejeiss.126.1474
复制
发表时间：
2008
影响因子：
0.4
通讯作者：
I. Takumi
中科院分区：
文献类型：
--
作者：
Yuki Ishida;S. Usami;T. Usuda;I. Takumi
在量子信息理论中，量子信道容量的超可加性作为一种特殊性质出现。我们提出了一种通过使用平方根测量作为解码过程来解析计算二进制线性码互信息的方法。过去已经给出了许多表明容量存在超可加性的代码例子，但该方法的范围没有得到澄清。在本文中，我们表明，该方法可以适用于任何二元线性码。我们还表明，量子信道容量几乎完全达到在一个有限的码字长度，通过使用近似的单工码。© 2008 Wiley Periodicals，Inc. Electr Eng Jpn，163（4）：48-57，2008;在线发表于Wiley InterScience（www.interscience.wiley.com）。DOI 10.1002/eej.20646
In quantum information theory, superadditivity in the capacity of a quantum channel occurs as a special property. We present a method of calculating the mutual information analytically for binary linear codes by using square‐root measurement as the decoding process. Many examples of codes showing the existence of superadditivity in capacity have been given in the past, but the scope of the method was not clarified. In the present paper, we show that the method can be applied to any binary linear codes. We also show that the quantum channel capacity is almost fully attained in a finite codeword length by using approximation to simplex code. © 2008 Wiley Periodicals, Inc. Electr Eng Jpn, 163(4): 48–57, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/eej.20646