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arXiv quant-ph/9610015quant-ph
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量子计算中的退相干限制

Decoherence limits to quantum computation using trapped ions

M. B. Plenio, P. L. Knight

摘要:

我们调查的问题,因子分解的大量量子计算机,我们想象中实现的线性离子阱。我们推导出在这样的量子计算机上可以因式分解的数字的大小的上界。这些上限与所施加的激光功率无关。我们研究了两种可能的方式来实现量子比特,在亚稳态光学跃迁和塞曼子级的一个稳定的基态,并表明,在这两种情况下,可以因式分解的数字是不够大的实际利益。我们还研究了量子纠错对我们估计的影响,并表明在现实系统中,量子纠错的影响比预期的要小得多。同样,没有任何实际利益可以被分解。

英文摘要:

We investigate the problem of factorization of large numbers on a quantum computer which we imagine to be realized within a linear ion trap. We derive upper bounds on the size of the numbers that can be factorized on such a quantum computer. These upper bounds are independent of the power of the applied laser. We investigate two possible ways to implement qubits, in metastable optical transitions and in Zeeman sublevels of a stable ground state, and show that in both cases the numbers that can be factorized are not large enough to be of practical interest. We also investigate the effect of quantum error correction on our estimates and show that in realistic systems the impact of quantum error correction is much smaller than expected. Again no number of practical interest can be factorized.

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