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Chinese Physics Letters

Experimental Realization of Arbitrary Accuracy Iterative Phase Estimation Algorithms on Ensemble Quantum Computers

刘秀梅, 罗军, 孙献平

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

我们报导原子磁性的回声(NMR ) 的第一试验性的示范反复的阶段评价算法的实现。用反馈和重复，我们试验性地在一台 two-qubit NMR 量计算机上与 6 位精确获得阶段。而且，我们试验性地在反复的阶段评价算法上表明门噪音的效果。我们的试验性的结果证明阶段的大小的错误强烈取决于联合门的精确。这个实验能为量信息处理和精确大小的 multi-qubit 认识被用作一个基准。

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我们报导原子磁性的回声(NMR ) 的第一试验性的示范反复的阶段评价算法的实现。用反馈和重复，我们试验性地在一台 two-qubit NMR 量计算机上与 6 位精确获得阶段。而且，我们试验性地在反复的阶段评价算法上表明门噪音的效果。我们的试验性的结果证明阶段的大小的错误强烈取决于联合门的精确。这个实验能为量信息处理和精确大小的 multi-qubit 认识被用作一个基准。
We report the first experimental demonstration of a nuclear magnetic resonance (NMR) realization of iterative phase estimation algorithms. Using feedback and iterations, we experimentally obtain the phase with 6 bits of precision on a two-qubit NMR quantum computer. Furthermore, we experimentally demonstrate the effect of gate noise on the iterative phase estimation algorithm. Our experimental results show that errors of measurements of the phase depend strongly on the precision of coupling gates. This experiment can be used as a benchmark for multi-qubit realizations of quantum information processing and precision measurements.
当目标项目的部分超过 1/4 时，格罗弗量搜索算法的成功概率快速减少，在阶段起一个重要作用的地方。因此，我们使用多重阶段补充对方。我们获得三个有用性质和成功概率的一条重要定理并且为阶段的一个任意的数字设计最佳的阶段的一个系统的答案。把结果基于这些，我们最后建议概率其成功就随阶段的数字的增加升起与的一个多相的量搜索算法当目标项目的部分在更低的限制上时，一次单个重复，和它趋于是 100% 。
This papers presents the generalization of the quantum phase estimation (QPE) algorithm to multivalued logic. QPE is a very important subroutine used in many quantum algorithms of practical importance. The QPE using qudits has certain advantages when compared to the version using qubits. The QPE using qudits is more accurate and requires lesser number of qudits (as the value of the radix d increases) to estimate the phase up to a given accuracy with a given success probability. Since the existing quantum computer implementations use only few qubits, it is important to have alternative versions of the QPE which use as few qubits as possible. In this regard, the iterative quantum phase estimation algorithm (IQPE) which uses only single qubit to store the phase information has been developed. The number of iterations involved in the IQPE is directly proportional to the required accuracy in the estimated phase. In this regard, IQPE using qudits requires (logarithmically) lesser number of iterations (and hence is faster) compared to the one using qubits. In this paper, we also develop the multivalued logic version of the IQPE and describe its implementation.