Topological Fermionic Quantum Simulation

拓扑费米子量子模拟

• 批准号: 1820747
• 负责人: James Whitfield
• 金额: $ 38.5万
• 依托单位: Dartmouth College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-08-01 至 2023-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1820747&HistoricalAwards=false
• 关键词: Topological; Fermionic; Quantum; Simulation

Quantum physics has the potential to expand computer power in industrially and economically significant ways. Just as computers have become an integral part of people's lives, quantum computation is likely to become equally impactful in the long term. The path to this grandiose goal needs achievable milestones along the way, and quantum simulation provides many such stepping stones. However, to take advantage of quantum computation for simulating matter, new tools and methods must be developed to map model systems of fermions (e.g. electrons and certain nuclei) onto quantum computers. This project will develop models that incorporate topological ideas that aid qubit-based quantum computers to simulate the fermion systems found throughout chemistry, physics, and materials science. The nature of topologically inspired fermion-to-qubit mappings opens new possibilities for simulating electronic structure on the qubits of a quantum computer. This allows local addressing of information that is stored non-locally which helps to simplify the algorithms for quantum simulation. The goals of this project include designing and implementing new algorithms that can be tested on early quantum hardware and incorporated into open-source code collections. The outcomes of this project will serve the broader scientific community by introducing tools that will be incorporated into rapidly developing quantum technology on the path to outpacing traditional computers. This project also include efforts to increase the inclusion of underrepresented groups in science and technology by inviting female freshmen and sophomore interns in conjunction with the Women In Science Project. As part of the long-term goal to understand how best to utilize a quantum computer, the Topological Fermionic Quantum Simulation project aims to flesh out topological quantum simulation algorithms. The central hypothesis of this work is that topological approaches can enhance the efficiency of quantum simulations. This hypothesis has been formulated based on this team's preliminary findings demonstrating benefits for fermionic encodings based on locality of the encoded spin operator. The proposed work has three major directions. The first delves into automation and implementation of the Bravyi-Kitaev Super-Fast model and explores its close connections to the toric code. The second area is to consider auxiliary fermion methods where additional modes are included to reduce the locality of the spin operators. Third, group theoretic approaches to black box simulation are ripe to explore and integrate with this growing area of quantum simulation. There are two cross-cutting themes that overlap with all branches of the project: local basis set design and benchmarking with numerical tools and with existing quantum hardware. The basis sets play a vital role in determining the efficiency and accuracy of any simulation while actual implementations provide metrics for success. Extension of quantum simulation algorithms based on topology has the potential for an immediate impact on the use of quantum computers. Additionally, this project opens questions about the nature of fermions, provides insights into the limitations of simulating them, and informs the requirements for the quantum simulation path to quantum supremacy.This project is jointly funded by the Atomic, Molecular, and Optical Physics Experiment program in the Division of Physics and the Chemical Theory, Models and Computational Methods program in the Division of Chemistry (both Divisions are in the NSF Directorate for Mathematical and Physical Sciences) as well as the Established Program to Stimulate Competitive Research (NSF EPSCoR program).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.

量子物理学有可能以工业和经济上重要的方式扩大计算机能力。正如计算机已成为人们生活中不可或缺的一部分一样，从长远来看，量子计算可能同样具有影响力。通往这个宏伟目标的道路需要一路上可以达到的里程碑，而量子模拟则提供了许多这样的垫脚石。 但是，要利用用于模拟物质的量子计算，必须开发新的工具和方法，以将费米（例如电子和某些核）的模型系统映射到量子计算机上。该项目将开发结合拓扑思想的模型，以帮助基于Qubit的量子计算机模拟整个化学，物理和材料科学中发现的费米昂系统。受拓扑启发的费米至问题映射的性质为模拟量子计算机量子的电子结构提供了新的可能性。这允许局部处理非局部存储的信息，这有助于简化量子模拟的算法。 该项目的目标包括设计和实施新算法，这些算法可以在早期量子硬件上进行测试，并将其纳入开源代码集合中。该项目的结果将通过引入将在超过传统计算机的道路上纳入迅速开发的量子技术中的工具来为更广泛的科学界服务。该项目还包括通过邀请女性新生和大二实习生与《妇女科学项目》中的女性新生和大二实习生，以增加科学和技术中代表性不足的群体的努力。作为理解如何最好地利用量子计算机的长期目标的一部分，拓扑费用量子模拟项目旨在充实拓扑量子仿真算法。这项工作的中心假设是拓扑方法可以提高量子模拟的效率。该假设是根据该团队的初步发现提出的，该发现证明了基于编码旋转操作员的位置的费米子编码的好处。拟议的工作有三个主要方向。首先研究了Bravyi-Kitaev Super-Fast模型的自动化和实现，并探讨了其与感谢您的代码的密切连接。第二个区域是考虑包括其他模式以减少自旋算子的位置的辅助费用方法。第三，黑匣子模拟的组理论方法已经成熟，可以与量子模拟的增长区域进行探索和集成。有两个交叉切割主题与项目的所有分支重叠：本地基础设置设计和基准测试用数值工具以及现有的量子硬件。基础集在确定任何模拟的效率和准确性时起着至关重要的作用，而实际实施为成功提供指标。基于拓扑的量子模拟算法的扩展可能会立即影响量子计算机的使用。此外，该项目还为费尔米的性质开辟了问题，提供了对模拟它们的局限性的见解，并为量子量量子的量子模拟途径提供了要求。该项目是由原子，分子和光学物理学实验在物理学和化学理论划分的化学方法和计算方法中（分别划分的化学方法和计算方法）共同资助的（分子，分子和光学物理学）的（两者）。科学）以及启发竞争研究的既定计划（NSF EPSCOR计划）。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛的影响评估标准通过评估来支持的。

项目成果

Analysis of superfast encoding performance for electronic structure simulations

• DOI: 10.1103/physreva.100.032337
• 发表时间: 2019-07
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: Riley W. Chien;S. Xue;Tarini S Hardikar;Kanav Setia;J. Whitfield

Machine-learning Kohn–Sham potential from dynamics in time-dependent Kohn–Sham systems

机器学习 KohnâSham 时间依赖性 KohnâSham 系统动态中的潜力

• DOI: 10.1088/2632-2153/ace8f0
• 发表时间: 2023
• 期刊: Machine Learning: Science and Technology
• 作者: Yang, Jun;Whitfield, James
• 通讯作者: Whitfield, James

Achieving a quantum smart workforce

• DOI: 10.1088/2058-9565/abfa64
• 发表时间: 2021-07-01
• 期刊: QUANTUM SCIENCE AND TECHNOLOGY
• 影响因子: 6.7
• 作者: Aiello, Clarice D.;Awschalom, D. D.;Zwickl, Benjamin M.
• 通讯作者: Zwickl, Benjamin M.

Superfast encodings for fermionic quantum simulation

• DOI: 10.1103/physrevresearch.1.033033
• 发表时间: 2018-10
• 期刊: Physical Review Research
• 影响因子: 4.2
• 作者: Kanav Setia;S. Bravyi;Antonio Mezzacapo;J. Whitfield

Intractability of Electronic Structure in a Fixed Basis

• DOI: 10.1103/prxquantum.3.020322
• 发表时间: 2022-05-02
• 期刊: PRX QUANTUM
• 影响因子: 9.7
• 作者: O'Gorman, Bryan;Irani, Sandy;Fefferman, Bill
• 通讯作者: Fefferman, Bill