RAISE-TAQS: Entanglement and information in complex networks of qubits

RAISE-TAQS：复杂量子比特网络中的纠缠和信息

• 批准号: 1839232
• 负责人: Zhexuan Gong
• 金额: $ 98.59万
• 依托单位: Colorado School of Mines
• 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: 2018-10-01 至 2023-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1839232&HistoricalAwards=false
• 关键词: RAISE; TAQS; Entanglement; information; complex

Quantum computers are now approaching a size that will soon perform tasks surpassing the power of today's fastest classical computers. To attain the full power of a quantum computer, qubits inside the quantum computer should be well connected with each other, so that information can be transferred, and entanglement can be generated between any two qubits as fast as possible. The qubit interactions will form a complex and time-varying network and their dynamics will be too complicated for classical computers to predict. This project will provide a key step in understanding quantum systems of a rapidly increasing level of complexity and find out how such complexity can be employed to massively speed up quantum computing over systems with sparse and simple qubit connections. The project will expand the fields of quantum information science and condensed matter physics into the territory of complexity science, via concrete ways to quantify complexity of quantum states. As the quantum information frontier is fostering a new technological revolution around the world, the project will train a new generation of undergraduate and graduate students with expertise in quantum technologies and develop a new 12-credit graduate certificate program in quantum engineering to accommodate the pressing need from industry professionals in obtaining quantum expertise.The first half of this project aims to find out how high qubit connectivity can be used to speed up quantum information processing, focusing on mathematical quantum speed limits akin to Lieb-Robinson bounds, optimal entangling protocols for very small or very large number of qubits, and experimental demonstrations of entangling speed limit using solid-state qubits. The second half of this project will focus on states created by Hamiltonians with dense and complex interactions, quantifying their complexity and understanding their entanglement structure. Various network measures borrowed from complexity science will be employed to study the experimentally measurable quantum mutual information network and the recently developed quantum neural network, in order to bring new insight to quantum critical phenomena, entanglement area laws, and nonequilibrium many-body dynamics.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.

量子计算机现在的规模已接近其执行任务的规模，很快就会超越当今最快的经典计算机的能力。为了充分发挥量子计算机的能力，量子计算机内部的量子位应该相互良好连接，以便信息可以传输，并且任意两个量子位之间可以尽可能快地产生纠缠。量子位相互作用将形成一个复杂且随时间变化的网络，其动态将过于复杂，经典计算机无法预测。该项目将为理解复杂性迅速增加的量子系统迈出关键一步，并找出如何利用这种复杂性来大幅加速具有稀疏和简单量子位连接的系统的量子计算。该项目将通过量化量子态复杂性的具体方法，将量子信息科学和凝聚态物理领域扩展到复杂性科学领域。随着量子信息前沿正在全球范围内掀起一场新的技术革命，该项目将培养新一代具有量子技术专业知识的本科生和研究生，并开发一个新的12学分的量子工程研究生证书课程，以满足行业专业人士获得量子专业知识的迫切需求。该项目的前半部分旨在找出如何利用高量子位连接来加速量子信息处理，重点关注数学 类似于李布-罗宾逊界限的量子速度限制、非常小或非常大量量子位的最佳纠缠协议，以及使用固态量子位的纠缠速度限制的实验演示。该项目的后半部分将重点关注由哈密顿量创建的具有密集和复杂相互作用的状态，量化它们的复杂性并理解它们的纠缠结构。借鉴复杂性科学的各种网络措施将用于研究可实验测量的量子互信息网络和最近发展的量子神经网络，以便为量子临界现象、纠缠区域定律和非平衡多体动力学带来新的见解。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，认为值得支持。

项目成果

Dynamics for the Haldane phase in the bilinear-biquadratic model

双线性双二次模型中 Haldane 相的动力学

• DOI: 10.1103/physrevb.105.094309
• 发表时间: 2022
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: Dhar, Arya;Jaschke, Daniel;Carr, Lincoln D.
• 通讯作者: Carr, Lincoln D.

Response of quantum spin networks to attacks

• DOI: 10.1088/2632-072x/abf5c2
• 发表时间: 2020-12
• 期刊: Journal of Physics: Complexity
• 作者: Bhuvanesh Sundar;M. Walschaers;V. Parigi;L. Carr

Error Analysis of Tensor-Train Cross Approximation

• DOI: 10.48550/arxiv.2207.04327
• 发表时间: 2022-07
• 期刊: ArXiv
• 作者: Zhen Qin;Alexander Lidiak;Zhexuan Gong;Gongguo Tang;M. Wakin;Zhihui Zhu

Implementing two-qubit gates at the quantum speed limit

以量子速度极限实现两个量子位门

• DOI: 10.1103/physrevresearch.5.043194
• 发表时间: 2023
• 期刊: Physical Review Research
• 影响因子: 4.2
• 作者: Howard, Joel;Lidiak, Alexander;Jameson, Casey;Basyildiz, Bora;Clark, Kyle;Zhao, Tongyu;Bal, Mustafa;Long, Junling;Pappas, David P.;Singh, Meenakshi
• 通讯作者: Singh, Meenakshi

A universal quantum gate set for transmon qubits with strong ZZ interactions

• 发表时间: 2021-03
• 作者: J. Long;T. Zhao;M. Bal;R. Zhao;George S. Barron;H. Ku;Joel A. Howard;Xian Wu;C. McRae;Xiu-Hao Deng;G. Ribeill;Meenakshi Singh;T. Ohki;Edwin Barnes;S. Economou;D. Pappas