Quantum Control, Chaos, and Measurement with Superconducting Circuits

超导电路的量子控制、混沌和测量

• 批准号: 1809343
• 负责人: Andrew Jordan
• 金额: $ 33万
• 依托单位: University of Rochester
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-09-01 至 2021-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1809343&HistoricalAwards=false
• 关键词: Quantum; Control; Chaos; Measurement; Superconducting

NONTECHNICAL SUMMARYThis award supports theoretical research and education on the measurement and control of quantum mechanical systems that comprise circuits made from superconductors.Quantum physics has undergone a renaissance of activity, spurred on by the discovery of quantum information theory. The principles of quantum physics are being applied towards developing new kinds of computers, sensors, and simulators, that can surpass in performance their classical analogs. Superconducting quantum circuits are a leading candidate for making quantum computing elements because of fast processing speeds and their ability to preserve quantum information from environmental interference for long times. They are also excellent testbeds for fundamental quantum and condensed matter physics because they can be precisely controlled and measured. This PI and his group will advance theoretical investigations of these systems together with experimental collaborators. The research team will investigate the possibility of chaotic behavior emerging during the operation of these quantum systems. Chaos in this case is characterized by sensitive dependence of the system's dynamics to small changes to the system's initial conditions. Another problem that will be tackled is how to make measurements of system parameters as precisely as possible, a topic important for quantum sensing. A final research topic concerns how to transfer energy and light between spatially distant superconducting circuits. The educational component of the grant will provide training for graduate students, as well as a summer class for high-school students that will include teaching quantum physics at a qualitative level using minimal mathematics. In addition, the PI will write a book based on his previous experience teaching that class, presenting basic quantum phenomena at a high-school level. TECHNICAL SUMMARYThis award supports theoretical research and education to advance fundamental understanding of quantum control, chaos, and measurement with superconducting quantum circuits.At the interface of quantum and condensed matter physics there has been fruitful recent activity utilizing superconducting quantum circuits. This award funds several research topics in this frontier field. The PI and his research team will apply the stochastic path integral theory of continuous quantum measurements, developed in the PI's group, to research dynamical chaos of continuously measured, driven quantum systems. The most likely paths of the monitored quantum system are described by a set of nonlinear, deterministic, equations of motion. By considering a time-dependent Hamiltonian, chaos in the most likely paths is predicted to occur in relatively simple quantum situations. Quantum enhanced metrology for superconducting circuits will also be developed, building on recent demonstrations of a scaling-law improvement in the precision of frequency measurements. Limitations of decoherence for metrology may be overcome with methods such as dynamical decoupling. The PI's group will investigate more complicated cases where the parameter itself is a quantum one, so the measurement disturbance of the parameter must be considered. As a third topic, the research team will investigate energy and photon transfer with entanglement creation between superconducting cavities and circuits. The theoretical research will be pursued in collaboration with groups of experimental colleagues.The educational component of the grant will provide training for graduate students, as well as a summer class for high-school students that will include teaching quantum physics at a qualitative level using minimal mathematics. In addition, the PI will write a book based on his previous experience teaching that class, presenting basic quantum phenomena at a high-school level.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

非技术性概述该奖项支持量子力学系统的测量和控制的理论研究和教育，该系统由超导体制成的电路组成。量子物理学在量子信息理论的发现的推动下经历了一场复兴。量子物理学的原理正被应用于开发新型计算机、传感器和模拟器，这些计算机、传感器和模拟器的性能可以超过它们的经典类似物。超导量子电路是制造量子计算元件的主要候选者，因为它们具有快速的处理速度和长期保护量子信息免受环境干扰的能力。它们也是基础量子和凝聚态物理学的优秀实验平台，因为它们可以精确控制和测量。这个PI和他的团队将与实验合作者一起推进这些系统的理论研究。研究小组将调查这些量子系统运行过程中出现混乱行为的可能性。在这种情况下，混沌的特征在于系统的动态对系统初始条件的微小变化的敏感依赖性。另一个要解决的问题是如何尽可能精确地测量系统参数，这是量子传感的一个重要课题。最后一个研究课题是如何在空间上相距遥远的超导电路之间传输能量和光。 赠款的教育部分将为研究生提供培训，并为高中生提供暑期课程，其中包括使用最低数学在定性水平上教授量子物理学。此外，PI将根据他以前的教学经验写一本书，介绍高中水平的基本量子现象。该奖项支持理论研究和教育，以促进对超导量子电路的量子控制，混沌和测量的基本理解。在量子和凝聚态物理学的界面上，最近利用超导量子电路进行了富有成效的活动。该奖项资助了这一前沿领域的几个研究课题。PI和他的研究小组将应用PI小组开发的连续量子测量的随机路径积分理论，研究连续测量、驱动量子系统的动力学混沌。被监控的量子系统的最可能的路径由一组非线性的、确定性的运动方程来描述。通过考虑含时的哈密顿量，预测在相对简单的量子情况下，最可能的路径中会发生混沌。超导电路的量子增强计量学也将在最近的频率测量精度的标度律改进的示范的基础上发展。用于计量的去相干的限制可以用诸如动态解耦的方法来克服。PI小组将研究更复杂的情况，其中参数本身是量子的，因此必须考虑参数的测量扰动。作为第三个课题，研究小组将研究超导腔和电路之间的能量和光子转移以及纠缠产生。理论研究将与实验同事团队合作进行。教育部分将为研究生提供培训，并为高中生提供暑期课程，其中包括使用最小数学在定性水平上教授量子物理学。此外，PI还将根据他以前教授该课程的经验撰写一本书，介绍高中水平的基本量子现象。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

Measuring fluorescence to track a quantum emitter's state: a theory review

• DOI: 10.1080/00107514.2020.1747201
• 发表时间: 2019-08
• 期刊: Contemporary Physics
• 影响因子: 2
• 作者: P. Lewalle;S. Manikandan;C. Elouard;A. Jordan

Fluctuation theorems for continuous quantum measurements and absolute irreversibility

• DOI: 10.1103/physreva.99.022117
• 发表时间: 2019-02-19
• 期刊: PHYSICAL REVIEW A
• 影响因子: 2.9
• 作者: Manikandan, Sreenath K.;Elouard, Cyril;Jordan, Andrew N.
• 通讯作者: Jordan, Andrew N.

Bosons falling into a black hole: A superfluid analogue

玻色子落入黑洞：超流体的类似物

• DOI: 10.1103/physrevd.98.124043
• 发表时间: 2018
• 期刊: Physical Review D
• 影响因子: 5
• 作者: Manikandan, Sreenath K.;Jordan, Andrew N.
• 通讯作者: Jordan, Andrew N.

Quantum state tomography with time-continuous measurements: reconstruction with resource limitations

• DOI: 10.1007/s40509-019-00198-2
• 发表时间: 2018-05
• 期刊: Quantum Studies: Mathematics and Foundations
• 作者: Areeya Chantasri;Shengshi Pang;Teerawat Chalermpusitarak;A. Jordan

Entanglement-preserving limit cycles from sequential quantum measurements and feedback

来自连续量子测量和反馈的纠缠保持极限环

• DOI: 10.1103/physreva.102.062219
• 发表时间: 2020
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: Lewalle, Philippe;Elouard, Cyril;Jordan, Andrew N.
• 通讯作者: Jordan, Andrew N.