arXiv quant-ph/04110422004-11-05quant-ph

利用[[7，1，3]] CSS量子码估计错误门限

Error threshold estimation by means of the [[7,1,3]] CSS quantum code

Pedro J. Salas, Angel L. Sanz

备注：: Includes 10 Figures and a Table. Accepted in I.J.Q.I

摘要：

量子计算中所需的状态受到退相干的极大影响。已经提出了几种方法来控制误差扩散。他们使用两个主要工具：容错结构和级联量子纠错码。在这项工作中，我们估计了进行足够长的量子计算所需的阈值条件。使用[[7，1，3]] CSS量子码和Shor方法来测量错误伴随式。不包括串联。利用去极化信道误差模型引入了退相干效应，通过数值仿真得到了几个阈值。关于在存储器中稳定的量子位的维持，错误概率必须小于2.9 × 10-5。为了以有效的容错方式实现一个或两个量子比特编码门，如果存储器错误概率小于1.3 × 10-5，则可以选择适当的非编码噪声门。此外，满足最后一个条件允许我们假设与等效的非编码过程相比更有效的行为。

英文摘要：

The states needed in a quantum computation are extremely affected by decoherence. Several methods have been proposed to control error spreading. They use two main tools: fault-tolerant constructions and concatenated quantum error correcting codes. In this work, we estimate the threshold conditions necessary to make a long enough quantum computation. The [[7,1,3]] CSS quantum code, together with the Shor method to measure the error syndrome is used. No concatenation is included. The decoherence is introduced by means of the depolarizing channel error model, obtaining several thresholds from the numerical simulation. Regarding the maintenance of a qubit stabilized in the memory, the error probability must be smaller than 2.9 10-5. In order to implement a one or two qubit encoded gate in an effective fault-tolerant way, it is possible to choose an adequate non-encoded noisy gate if the memory error probability is smaller than 1.3 10-5. In addition, fulfilling this last condition permits us to assume a more efficient behaviour compared to the equivalent non-encoded process.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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