EMT/QIS: Continuous-time quantum computation

EMT/QIS：连续时间量子计算

• 批准号: 0829944
• 负责人: Andrew Landahl
• 金额: $ 18万
• 依托单位: University of New Mexico
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-09-01 至 2011-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0829944&HistoricalAwards=false
• 关键词: EMT; QIS; Continuous; time; quantum

Theoretical approaches to quantum computing frequently model the state of aquantum system as something that changes discretely in time. However, anunmeasured quantum system fundamentally evolves continuously in time asdescribed by Schroedinger's equation. Even the quantum measurement processcan be described by a continuous-time stochastic differential equation.This research explores quantum computation in its complete continuous-timeformulation, with the goal of uncovering new paradigms for processingquantum information.The research focuses on three key areas: continuous-time quantum computingarchitectures, continuous-time quantum error correction, and continuous-timequantum algorithms. These areas were selected because examples highlightingthe differences between continuous-time and discrete-time quantum computingformulations are already known in each of them. For example,continuous-time quantum walk architectures require no external dynamicalcontrols, continuous-time quantum feedback can mediate quantum errorcorrection, and continuous-time quantum scattering can calculate Booleanformulas with fewer queries than any classical algorithm can. A majorobjective of this research is to expand upon these directions and developnew ones. The strategy will be to focus on problems that are sufficientlywell-defined and tractable that progress can be made.This project not only supports graduate student training in quantuminformation science but also supports education and outreach activitiesthrough the Southwest Quantum Information and Technology (SQuInT) Network.The PI will seek out exceptional students outside his home institution,especially encouraging those in underrepresented groups, and sponsor theirattendance at SQuInT meetings to further enrich this growing field.

量子计算的理论方法经常将水原系统状态建模为随着时间的流逝而变化的事物。 然而，无需量子系统从根本上讲，随着施罗辛格方程的序言，量子系统不断地进化。 Even the quantum measurement processcan be described by a continuous-time stochastic differential equation.This research explores quantum computation in its complete continuous-timeformulation, with the goal of uncovering new paradigms for processingquantum information.The research focuses on three key areas: continuous-time quantum computingarchitectures, continuous-time quantum error correction, and continuous-timequantum algorithms. 之所以选择这些区域，是因为突出显示连续时间和离散时间量子计算形式之间差异的示例已经知道。 例如，连续的量子步行体系结构不需要外部动力控制，连续的量子反馈可以介导量子误差校正，并且连续的时量子散射可以计算出比任何经典算法更少的查询的布尔式形式。 这项研究的主要目标是扩展这些方向和开发方式。 The strategy will be to focus on problems that are sufficientlywell-defined and tractable that progress can be made.This project not only supports graduate student training in quantuminformation science but also supports education and outreach activitiesthrough the Southwest Quantum Information and Technology (SQuInT) Network.The PI will seek out exceptional students outside his home institution,especially encouraging those in underrepresented groups, and sponsor theirattendance at SQuInT meetings to further丰富了这个不断发展的领域。