Entanglement-assisted codeword stabilized quantum codes
Entanglement-assisted codeword stabilized quantum codes
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DOI：
10.1103/physreva.84.062321
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发表时间：
2011-09
影响因子：
2.9
通讯作者：
J. Shin;J. Heo;T. Brun
中科院分区：
文献类型：
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作者：
J. Shin;J. Heo;T. Brun
纠缠量子比特可以提高基于稳定子码的量子纠错码的容量。此外，通过使用纠缠，可以从不满足双包含约束的经典线性码构造量子稳定器码。我们表明，它是可能的，使用码字稳定的量子码的框架来构造加性和非加性量子码。非加性码可以提供比更常见的稳定器码更好的性能。与其他纠缠辅助码一样，编码过程只作用于爱丽丝一侧的量子位，并且只有这些量子位被假设通过通道。然而，码字稳定的量子码框架中的错误引起Bob侧的有效Z错误。我们利用这个方案构造了纠缠辅助的非加量子码，特别是（（5，16，2;1））和（（7，4，5;4））码.
Entangled qubits can increase the capacity of quantum error-correcting codes based on stabilizer codes. In addition, by using entanglement quantum stabilizer codes can be construct from classical linear codes that do not satisfy the dual-containing constraint. We show that it is possible to construct both additive and nonadditive quantum codes using the codeword stabilized quantum code framework. Nonadditive codes may offer improved performance over the more common stabilizer codes. Like other entanglement-assisted codes, the encoding procedure acts only on the qubits on Alice's side, and only these qubits are assumed to pass through the channel. However, errors in the codeword stabilized quantum code framework give rise to effective Z errors on Bob's side. We use this scheme to construct entanglement-assisted nonadditive quantum codes, in particular, ((5,16,2;1)) and ((7,4,5;4)) codes.