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arXiv quant-ph/0503202quant-ph
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量子计数抗退相干误差的理论分析

Theoretical Analyses of Quantum Counting against Decoherence Errors

Jun Hasegawa, Fumitaka Yura

摘要:

本文分析了退相干条件下的量子计数,它可以求出满足给定预言的解的个数。我们研究了在去极化信道下量子计数的误差率的一阶项的概率分布。我们还实现了两个电路的量子计数-的升序电路和降序电路-通过颠倒顺序的应用程序的受控Grover操作。通过理论和数值计算,揭示了退相干存在时两种电路的概率分布的差异,并表明了升阶电路比降阶电路对退相干的鲁棒性更强.鲁棒性的这一性质适用于相位估计,如因子分解。

英文摘要:

In this paper, we analyze the quantum counting under the decoherence, which can find the number of solutions satisfying a given oracle. We investigate probability distributions related to the first order term of the error rate on the quantum counting with the depolarizing channel. We also implement two circuits for the quantum counting -- the ascending-order circuit and the descending-order circuit -- by reversing ordering of application of controlled-Grover operations. By theoretical and numerical calculations for probability distributions, we reveal the difference of probability distributions on two circuits in the presence of decoherence and show that the ascending-order circuit is more robust against the decoherence than the descending-order circuit. This property of the robustness is applicable to the phase estimation such as the factoring.

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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