Codes for Simultaneous Transmission of Quantum and Classical Information

被引:0
|
作者
Grassl, Markus [1 ]
Lu, Sirui [2 ,3 ]
Zeng, Bei [3 ,4 ,5 ]
机构
[1] Max Planck Inst Phys Lichts, Staudtstr 2, D-91058 Erlangen, Germany
[2] Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
[3] Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China
[4] Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada
[5] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada
关键词
COMMUNICATION; ENTANGLEMENT;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We consider the characterization as well as the construction of quantum codes that allow to transmit both quantum and classical information, which we refer to as 'hybrid codes'. We construct hybrid codes [[n, k:m, d]](q) with length n and distance d, that simultaneously transmit k qudits and m symbols from a classical alphabet of size q. Many good codes such as [[7,1:1,3]](2), [[9,2:2,3]](2), [[10,3:2,3]](2), [[11,4:2,3]](2), [[11,1:2,4]](2), [[13,1:4,4]](2), [[13,1:1,5]](2), [[14,1:2,5]](2), [[15,1:3,5]](2), [[19,9:1,4]](2), [[20,9:2,4]](2), [[21,9:3,4]](2), [[22,9:1,4]](2) have been found. All these codes have better parameters than hybrid codes obtained from the best known stabilizer quantum codes.
引用
收藏
页码:1718 / 1722
页数:5
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