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arXiv 1507.07682quant-ph
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电路QED中量子比特测量的精确量子贝叶斯规则

Exact quantum Bayesian rule for qubit measurements in circuit QED

Wei Feng, Pengfei Liang, Lupei Qin, Xin-Qi Li

摘要:

建立有效的量子测量框架对量子科学技术具有重要意义。在这项工作中,对于重要的超导电路-QED装置,我们提出了一个严格的和解析的有效量子轨道方程(QTE)的极化子变换后,转换成Stratonovich演算的形式。我们发现,该解决方案是一个推广的优雅的量子贝叶斯方法arXiv:1111.4016 Korotokov和目前应用于电路QED测量。通过修改输出电流的分布概率和几个重要的相位因子,改进了量子比特密度矩阵的对角和非对角元素.与QTE的数值积分相比,所得到的量子贝叶斯规则能够更有效地更新测量态,并且可以更有效地分析研究量子弱值、过去量子态和量子态平滑等有趣的问题.这一工作的方法也开辟了一条新的途径,以获得其他系统和更复杂的情况下的量子贝叶斯公式。

英文摘要:

Developing efficient framework for quantum measurements is of essential importance to quantum science and technology. In this work, for the important superconducting circuit-QED setup, we present a rigorous and analytic solution for the effective quantum trajectory equation (QTE) after polaron transformation and converted to the form of Stratonovich calculus. We find that the solution is a generalization of the elegant quantum Bayesian approach developed in arXiv:1111.4016 by Korotokov and currently applied to circuit-QED measurements. The new result improves both the diagonal and offdiagonal elements of the qubit density matrix, via amending the distribution probabilities of the output currents and several important phase factors. Compared to numerical integration of the QTE, the resultant quantum Bayesian rule promises higher efficiency to update the measured state, and allows more efficient and analytical studies for some interesting problems such as quantum weak values, past quantum state, and quantum state smoothing. The method of this work opens also a new way to obtain quantum Bayesian formulas for other systems and in more complicated cases.

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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