Engineering Quantum Electro-Mechanical Systems Using Open-Loop Control

这个项目的目标是确定时间相关控制在介观量子谐振器中设计非线性动力学和非线性探针的能力。为了实现这一目标，将使用最优控制理论技术来获得控制协议，以用于工程非线性，以及与纳米机械和超导谐振器的非线性相互作用。在谐振器和超导量子位寄存器之间实现SWAP操作的可能性也将被研究。上述协议在量子态制备、信息处理和计量等领域均有应用。这些协议所需的时间尺度，以及它们在存在噪声时的鲁棒性，将被研究。最优控制理论也将用于搜索具有理想鲁棒性的协议。该奖项更广泛的影响包括本科生参与研究和高性能计算的学生培训。该项目包括为一名本科生提供暑期奖学金，在第二年为项目的研究做出贡献。马萨诸塞大学是新英格兰地区最多元化的校园，少数民族学生占很大比例。因此，该项目将为这个多样化的群体提供研究机会。这项研究将涉及高性能计算，因此将为研究生和本科生提供这一领域的培训。

The goal of this project is to determine the ability of time-dependent control to engineer nonlinear dynamics in, and nonlinear probes for, mesoscopic quantum resonators. To achieve this the techniques of optimal control theory will be used to obtain control protocols for the purpose of engineering nonlinearities in, and nonlinear interactions with, nano-mechanical and superconducting resonators. The possibility of implementing a SWAP operation between a resonator and a register of superconducting qubits will also be investigated. The above protocols have applications in quantum-state preparation, information processing and metrology. The time-scales required by these protocols, and their robustness properties in the presence of noise, will be investigated. Optimal control theory will also be employed to search for protocols with desired robustness properties.The broader impact of this award includes undergraduate involvement in research and student training in high-performance computing. The project includes support for a summer studentship for an undergraduate to contribute to the research of the project in the second two years. UMass is the most diverse campus in New England, with a large fraction of minorities. The project will therefore provide research opportunities to this diverse group. The research will involve high performance computing and will thus provide training in this area for both graduate and undergraduate students.