Codes for the quantum erasure channel
Codes for the quantum erasure channel
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DOI：
10.1103/physreva.56.33
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发表时间：
1997-07-01
影响因子：
2.9
通讯作者：
Pellizzari, T
中科院分区：
文献类型：
--
作者：
Grassl, M;Beth, T;Pellizzari, T
量子擦除信道（QEC）被认为是。QEC的代码必须纠正擦除，即，已知位置的任意误差。我们表明，四个量子比特是必要的，足够的编码一个量子比特和纠正一个擦除，与五个量子比特的未知位置。此外，一个家庭的量子码的QEC，量子Bose-Chaudhuri-Hocquenghem码，可以有效地解码。
The quantum erasure channel (QEC) is considered. Codes for the QEC have to correct for erasures, i.e., arbitrary errors at known positions. We show that four quantum bits are necessary and sufficient to encode one quantum bit and correct one erasure, in contrast to five quantum bits for unknown positions. Moreover, a family of quantum codes for the QEC, the quantum Bose-Chaudhuri-Hocquenghem codes, that can be efficiently decoded is introduced.