Novais E, Mucciolo Eduardo R, Baranger Harold U
Department of Physics, Duke University, Durham, North Carolina 27708-0305, USA.
Phys Rev Lett. 2007 Jan 26;98(4):040501. doi: 10.1103/PhysRevLett.98.040501. Epub 2007 Jan 23.
We analyze the problem of a quantum computer in a correlated environment protected from decoherence by quantum error correction using a perturbative renormalization group approach. The scaling equation obtained reflects the competition between the dimension of the computer and the scaling dimension of the correlations. For an irrelevant flow, the error probability is reduced to a stochastic form for a long time and/or a large number of qubits; thus, the traditional derivation of the threshold theorem holds for these error models. In this way, the "threshold theorem" of quantum computing is rephrased as a dimensional criterion.
我们使用微扰重整化群方法分析了通过量子纠错来保护处于关联环境中的量子计算机免受退相干影响的问题。所得到的标度方程反映了计算机的维度与关联的标度维度之间的竞争。对于无关流，在长时间和/或大量量子比特的情况下，错误概率会降低到一种随机形式；因此，阈值定理的传统推导对于这些错误模型是成立的。通过这种方式，量子计算的“阈值定理”被重新表述为一个维度准则。
