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Collaborative Research: CIF: Medium: QODED: Quantum codes Optimized for the Dynamics between Encoded Computation and Decoding using Classical Coding Techniques

协作研究：CIF：中：QODED：针对使用经典编码技术的编码计算和解码之间的动态进行优化的量子代码

基本信息

批准号：
2106189
负责人：
Bane Vasic
金额：
$ 69.91万
依托单位：
University of Arizona
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2021
资助国家：
美国
起止时间：
2021-10-01 至 2025-09-30
项目状态：
未结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2106189&HistoricalAwards=false
关键词：
Collaborative Research CIF Medium QODED

项目摘要

Leveraging quantum phenomena in nature for processing information promises exciting gains and advantages in several tasks such as computing and communications. At the minute scale where such phenomena occur, however, the information carriers, such as atoms, are fragile and highly susceptible to noise. In order to build scalable and reliable quantum systems, one needs to mitigate noise through error-correction techniques. A quantum error correcting code (QECC) encodes data in a larger mathematical space so that the redundancy can be use to detect and correct errors. For quantum computation, one needs to regularly do such error correction, which tries to preserve data as it is, while also performing active computation to process the data, which keeps altering it. In order to be fault-tolerant, such a quantum computer needs to find ways of carefully balancing computation and decoding (error correction) while keeping resource requirements at a minimum. This is a very challenging task, and this project develops methods to study modern QECCs that are optimized for the dynamics between encoded computation and decoding using techniques from classical error-correction theory. The team will also nurture young talent in these areas and inspire underrepresented groups to join the growing quantum workforce.The celebrated threshold theorem of QEC established that quantum information can be protected indefinitely as long as each hardware component meets a fidelity threshold that is a function of the specific QECC. This project will provide a concrete understanding of desirable code structure, motivated by practical constraints, and hence address both thresholds and computational overhead as a function of this structure. Specifically, the intellectual contributions of the proposed research plan can be summarized as follows: (1) Recent results of investigators have produced systematic methods to synthesize logical operations on stabilizer codes. The team of researchers will begin by applying such methods to quantum low-density parity-check (QLDPC) codes in order to understand their utility for logical computation. (2) The team will explore strategies such as concatenation and lifting algebraic protographs to combine the best aspects of QLDPC codes and algebraic codes such as quantum Reed-Muller codes. (3) For QEC, it has been observed that iterative decoders with symmetric message updates fail on QLDPC codes due to cycles and "quantum" trapping sets related to error degeneracy. The team will leverage their classical expertise to develop single-shot algorithms based on message-passing with noisy syndromes, understand the effect of non-linear message updates, and analyze error floors. (4) The investigators will also determine how the desirable graph structure for such methods interplay with realizing logical operations on these hybrid QECCs. Finally, the team will combine these insights with other promising approaches such as measurement-based quantum computation, which will make the results apply across a wide array of technologies.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.

利用自然界中的量子现象来处理信息，有望在计算和通信等多项任务中获得令人兴奋的收益和优势。然而，在发生这种现象的微小尺度上，信息载体，如原子，是脆弱的，极易受到噪音的影响。为了构建可扩展和可靠的量子系统，人们需要通过纠错技术来减轻噪声。量子纠错码（QECC）在更大的数学空间中对数据进行编码，以便可以使用冗余来检测和纠正错误。对于量子计算，需要定期进行这种纠错，试图保持数据的原样，同时还执行主动计算来处理数据，这会不断改变数据。为了容错，这样的量子计算机需要找到仔细平衡计算和解码（纠错）的方法，同时将资源需求保持在最低限度。这是一项非常具有挑战性的任务，该项目开发了研究现代QECC的方法，这些方法使用经典纠错理论的技术针对编码计算和解码之间的动态进行了优化。该团队还将培养这些领域的年轻人才，并激励代表性不足的群体加入不断增长的量子劳动力队伍。著名的QEC阈值定理确定，只要每个硬件组件满足保真度阈值，量子信息就可以无限期地受到保护，该阈值是特定QECC的函数。这个项目将提供一个具体的理解所需的代码结构，由实际的约束，从而解决阈值和计算开销作为这个结构的函数。具体而言，拟议的研究计划的智力贡献可以概括如下：（1）最近的研究结果已经产生了系统的方法来综合稳定器代码的逻辑运算。研究小组将开始将这些方法应用于量子低密度奇偶校验（QLDPC）码，以了解它们对逻辑计算的效用。(2)该团队将探索诸如级联和提升代数原型图等策略，以将QLDPC码和诸如量子Reed-Muller码等代数码的最佳方面联合收割机结合起来。(3)对于QEC，已经观察到具有对称消息更新的迭代解码器由于与错误退化相关的循环和“量子”捕获集而在QLDPC码上失败。该团队将利用他们的经典专业知识，开发基于带噪声综合征的消息传递的单发算法，了解非线性消息更新的影响，并分析错误楼层。(4)研究人员还将确定这些方法所需的图形结构如何与这些混合QECC上的逻辑运算相互作用。最后，该团队将联合收割机将这些见解与其他有前途的方法（如基于测量的量子计算）相结合，这将使结果适用于广泛的技术。该奖项反映了NSF的法定使命，并被认为值得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来支持。

项目成果

期刊论文数量（25）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Learning to Decode Linear Block Codes using Adaptive Gradient-Descent Bit-Flipping

学习使用自适应梯度下降位翻转解码线性块码

DOI：
10.1109/istc57237.2023.10273470
发表时间：
2023
期刊：
2023 12th International Symposium on Topics in Coding (ISTC
影响因子：
0
作者：
Milojković, Jovan;Brkic, Srdan;Ivaniš, Predrag;Vasić, Bane
通讯作者：
Vasić, Bane

Co-design of CSS Codes and Diagonal Gates

CSS代码和对角门的协同设计

DOI：
10.1109/isit50566.2022.9834511
发表时间：
2022
期刊：
2022 IEEE International Symposium on Information Theory
影响因子：
0
作者：
Hu, Jingzhen;Liang, Qingzhong;Calderbank, Robert
通讯作者：
Calderbank, Robert

Soft Syndrome Decoding of Quantum LDPC Codes for Joint Correction of Data and Syndrome Errors

用于数据和校正子错误联合校正的量子 LDPC 码的软校正子解码

DOI：
10.1109/qce53715.2022.00047
发表时间：
2022
期刊：
2022 IEEE International Conference on Quantum Computing and Engineering (QCE
影响因子：
0
作者：
Raveendran, Nithin;Rengaswamy, Narayanan;Pradhan, Asit Kumar;Vasic, Bane
通讯作者：
Vasic, Bane

Enhanced Message-Passing Decoding of Degenerate Quantum Codes Utilizing Trapping Set Dynamics

利用陷阱集动力学增强简并量子码的消息传递解码

DOI：
10.1109/lcomm.2024.3356312
发表时间：
2024
期刊：
IEEE Communications Letters
影响因子：
0
作者：
Chytas, Dimitris;Pacenti, Michele;Raveendran, Nithin;Flanagan, Mark F.;Vasić, Bane
通讯作者：
Vasić, Bane

Designing the Quantum Channels Induced by Diagonal Gates

设计对角门引发的量子通道