Conference on Mathematical Sciences Challenges in Quantum Information

该奖项支持参加2015年2月12-13日在弗吉尼亚州阿灵顿举行的关于量子信息科学中的数学科学挑战的会议。量子信息(QI)领域探索理论、实验和技术领域，涵盖用于通信和计算目的的量子力学的使用和影响。虽然从概念上讲，QI包含的所有不同方面都源于对信息作为物理资源的看似简单的欣赏，但其结果有可能彻底改变计算、通信和关于复杂性的想法。特别是，QI承诺将以指数级更高效的量子算法来解决复杂的组合问题和模拟复杂量子系统的行为，以及前所未有的安全通信机会和解决物理、生物、应用数学、工程和计算机科学中一系列问题的新视角。因此，QI目前是一个蓬勃发展的自然跨学科研究领域，也是对21世纪科学技术具有关键战略意义的领域之一。随着QI领域进入一个新的成熟阶段，进一步的进步越来越依赖于各种先进数学技术的使用。反过来，数学的新领域正在被确定，这为该领域未来的重大进展提供了潜力。该奖项支持为期一天半的会议，会议聚集了致力于QI理论中广泛问题的领先研究人员，目标是(I)突出数学工具的中心和重要性；(Ii)评估突出的数学挑战并制定对未来的展望。一组杰出的演讲者将重点介绍最新的研究进展和悬而未决的问题，主题包括量子通道和量子纠错理论、量子边缘、随机量子态和动力学、多体量子系统和量子控制。小组讨论和分组会议旨在确定新的有希望的调查方向。拟议会议的预期广泛影响是双重的。一方面，会议促进了学术机构和联邦机构科学家之间在推进QI领域的中短期数学挑战方面的合作探索--会议的输出预计会有一份书面报告。另一方面，会议作为一种工具，吸引以数学为导向的科学家将他们的想法应用于QI中可触及的基本问题，并教育在这一非常重要的领域工作的下一代科学家。

This award supports participation in a conference on mathematical sciences challenges in quantum information science, held 12-13 February 2015 in Arlington, Virginia. The field of quantum information (QI) explores the theoretical, experimental, and technological areas covering the use and implications of quantum mechanics for communication and computation purposes. While conceptually all of the diverse aspects that QI encompasses arise from the seemingly simple appreciation of information as a physical resource, its consequences have the potential to revolutionize computation, communication, and ideas about complexity. In particular, QI promises exponentially more efficient quantum algorithms for solving hard combinatorial problems and for simulating the behavior of complex quantum systems, along with unprecedented opportunities for secure communication and new perspectives to tackle a range of problems in physics, biology, applied mathematics, engineering, and computer sciences. As a result, QI is currently a thriving and naturally interdisciplinary research area, and one of critical strategic relevance to 21st century's science and technology. As the QI field is entering a new stage of maturity, further progress is increasingly relying on the use of diverse advanced mathematical techniques. In turn, new areas of mathematics are being identified, which offer the potential for major future advances in the field. This award supports a one-and-a-half-day conference that brings together leading researchers working across a broad spectrum of problems in QI theory, with the goals of (i) highlighting the centrality and importance of mathematical tools; and (ii) assessing outstanding mathematical challenges and formulating a vision for the future. A distinguished group of speakers will highlight the latest research developments and open problems in topics, including quantum channels and quantum error correction theory, quantum marginals, random quantum states and dynamics, many-body quantum systems, and quantum control. Panel discussions and breakout sessions are intended to identify new promising directions for investigations. The expected broad impacts of the proposed conference are twofold. On the one hand, the conference facilitates collaborative exploration between academic and federal agency scientists of the short- to mid-term mathematical challenges in advancing the field of QI -- with a written report being anticipated as an output of the conference. On the other hand, the conference serves as a vehicle to enlist mathematically-oriented scientists to bring their ideas to bear on accessible fundamental problems in QI, and to educate the next generation of scientists working in this very important field.