Multiple-particle interference and quantum error correction
Multiple-particle interference and quantum error correction
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DOI：
10.1098/rspa.1996.0136
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发表时间：
1996-11-08
影响因子：
3.5
通讯作者：
Steane, A
中科院分区：
文献类型：
--
作者：
Steane, A
利用纠错码经典理论提供的见解，讨论了多粒子干涉的概念。这引发了对量子通信通道或量子计算机中纠错的讨论。提出了量子体系中的纠错方法，并评估了它们的局限性。如果使用 n 个量子位对 K 位量子信息进行编码，则量子通道可以从 x 个量子位的任意退相干中恢复，其中 Kin 可以大于 1 - 2H(2x/n)，但必须小于 1 - 2H(x/n)。这意味着退相干性会呈指数减少，而所需的计算资源只需多项式增加。因此，在存在物理上真实的退相干水平的情况下，量子计算可以没有错误。这些方法还可以将量子通信与噪声和窃听（量子隐私放大）隔离。
The concept of multiple-particle interference is discussed, using insights provided by the classical theory of error correcting codes. This leads to a discussion of error correction in a quantum communication channel or a quantum computer. Methods of error correction in the quantum regime are presented, and their limitations assessed. A quantum channel can recover from arbitrary decoherence of x qubits if K bits of quantum information are encoded using n quantum bits, where Kin can be greater than 1 - 2H(2x/n), but must be less than 1 - 2H(x/n). This implies exponential reduction of decoherence with only a polynomial increase in the computing resources required. Therefore quantum computation can be made free of errors in the presence of physically realistic levels of decoherence. The methods also allow isolation of quantum communication from noise and evesdropping (quantum privacy amplification).