论文标题
纠缠辅助串联量子代码
Entanglement-assisted concatenated quantum codes
论文作者
论文摘要
提出了通过连接两个量子代码构建的纠缠辅助串联量子代码（EACQC）。这些EACQC显示出比标准串联量子代码（CQC）的几个优点。与标准CQC不同的EACQC家族可能会击败与纠缠辅助量子误差校正代码（EAQECC）的非排定锤锤。此外，还得出了许多具有更好的参数的EACQC，比最著名的标准量子误差校正代码（QECC）和EAQECC也得出了。特别是，构建了几种具有更好的参数的催化EACQC，比最著名的QECC构建了相同长度和净传输的QECC。此外，每种催化EACQC仅消耗一两个EBIT。还表明，即使EBIT嘈杂，EACQC也可以使纠缠辅助量子通信成为可能。最后，表明，如果EBITS不如Qubits嘈杂，则EACQC在纠缠率上的表现可以胜过纠缠率的CQC。此外，当EBIT的误差概率足够低于Qubits时，EACQC的阈值误差概率大于CQC。因此，EACQC不仅在量子通信方面具有竞争力，而且还适用于容忍量的量子计算。
Entanglement-assisted concatenated quantum codes (EACQCs), constructed by concatenating two quantum codes, are proposed. These EACQCs show several advantages over the standard concatenated quantum codes (CQCs). Several families of EACQCs that, unlike standard CQCs, can beat the nondegenerate Hamming bound for entanglement-assisted quantum error correction codes (EAQECCs) are derived. Further, a number of EACQCs with better parameters than the best known standard quantum error correction codes (QECCs) and EAQECCs are also derived. In particular, several catalytic EACQCs with better parameters than the best known QECCs of the same length and net transmission are constructed. Furthermore, each catalytic EACQC consumes only one or two ebits. It is also shown that EACQCs make entanglement-assisted quantum communication possible even if the ebits are noisy. Finally, it is shown that EACQCs can outperform CQCs in entanglement fidelity over depolarizing channels if the ebits are less noisy than the qubits. Moreover, the threshold error probability of EACQCs is larger than that of CQCs when the error probability of ebits is sufficiently lower than that of qubits. Therefore EACQCs are not only competitive in quantum communication but also applicable in fault-tolerant quantum computation.
