Conference on Mathematical Sciences Challenges in Quantum Information

该奖项支持参加2015年2月12日至13日在弗吉尼亚州阿灵顿举行的量子信息科学数学科学挑战会议。 量子信息（QI）领域探索了理论，实验和技术领域，涵盖了量子力学在通信和计算方面的应用和影响。 虽然从概念上说，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，但其后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承诺指数更有效的量子算法来解决困难的组合问题和模拟复杂量子系统的行为，沿着的是前所未有的安全通信机会和新的视角来解决物理学，生物学，应用数学，工程和计算机科学中的一系列问题。因此，QI目前是一个蓬勃发展的自然跨学科研究领域，对21世纪的科学和技术具有重要的战略意义。随着QI领域进入一个新的成熟阶段，进一步的进展越来越依赖于使用各种先进的数学技术。反过来，新的数学领域正在被确定，这为该领域未来的重大进展提供了潜力。该奖项支持一个为期一天半的会议，汇集了领先的研究人员在QI理论中广泛的问题，其目标是（i）突出数学工具的中心地位和重要性;（ii）评估突出的数学挑战并制定未来愿景。一组杰出的演讲者将重点介绍最新的研究进展和主题中的开放问题，包括量子信道和量子纠错理论，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的目的是确定新的有希望的调查方向。拟议的会议预期会产生两方面的广泛影响。一方面，会议促进了学术界和联邦机构科学家之间的合作探索，探讨了在推进QI领域方面的短期至中期数学挑战--预计将有一份书面报告作为会议的成果。另一方面，会议作为一种工具，招募以科学为导向的科学家，使他们的想法对QI中可访问的基本问题产生影响，并教育在这个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.