Quantum Bayesian rule for weak measurements of qubits in superconducting circuit QED

Quantum Bayesian rule for weak measurements of qubits in superconducting circuit QED
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超导电路 QED 中量子位弱测量的量子贝叶斯规则

DOI:
10.1088/1367-2630/16/12/123047
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发表时间:
2014-04
期刊:
New J. Phys.
影响因子:
--
通讯作者:
Xin-Qi Li
Xin-Qi Li
中科院分区:
其他
文献类型:
--
作者:
Peiyue Wang;Lupei Qin;Xin-Qi Li

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与量子轨迹方程(QTE)相比,量子贝叶斯方法的优点是可以更有效地根据测量的积分输出来推断被监测的量子态。对于电路量子电动力学(cQED)中量子位的弱测量,在贝叶斯框架内正确考虑测量反作用效应是当前感兴趣的一个重要问题。科罗特科夫在“坏腔”和弱响应极限下对这项任务进行了出色的工作(科罗特科夫2011年电路QED测量的量子贝叶斯方法(arXiv:1111.4016))。在目前的工作中,基于从腔场状态(动力学)的见解和一个有效的QTE的帮助下,我们推广Korotkov的结果更一般的系统参数。所得到的贝叶斯规则是完全符合Korotkov的结果在限制情况下,以及持有令人满意的精度在非限制情况下相比,QTE模拟。我们希望所提出的贝叶斯规则是有用的,为未来的cQED测量和控制实验。
Compared with the quantum trajectory equation (QTE), the quantum Bayesian approach has the advantage of being more efficient to infer a quantum state under monitoring, based on the integrated output of measurements. For weak measurement of qubits in circuit quantum electrodynamics (cQED), properly accounting for the measurement backaction effects within the Bayesian framework is an important problem of current interest. Elegant work towards this task was carried out by Korotkov in ‘bad-cavity’ and weak-response limits (Korotkov 2011 Quantum Bayesian approach to circuit QED measurement (arXiv:1111.4016)). In the present work, based on insights from the cavity-field states (dynamics) and the help of an effective QTE, we generalize the results of Korotkov to more general system parameters. The obtained Bayesian rule is in full agreement with Korotkovʼs result in limiting cases and as well holds satisfactory accuracy in non-limiting cases in comparison with the QTE simulations. We expect the proposed Bayesian rule to be useful for future cQED measurement and control experiments.
DOI: 10.1103/physrevb.76.100503
发表时间: 2007-04
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