Quantum Entanglement, Measurement, and Separability

在这个项目中，我们继续研究与量子力学系统中纠缠研究相关的关键数学问题，并有可能应用于量子计算。一个中心目标是扩展关于确定系统何时真正处于量子领域而不是经典领域的结果——可分离性问题。这些改进将导致更好地理解数学模型和量子信息的量化，其结果可能对实验设计产生影响。20世纪90年代中期，彼得·肖尔和洛夫·格罗弗宣布了基于量子计算机的算法，证明这些算法比基于经典计算机的可比算法更有效。建造一台可行的量子计算机是一项重大挑战，需要对理论和技术问题有清晰的认识。这项研究将通过进一步扩展我们对量子信息理论模型的理解以及这些模型对量子计算的适用性，为实现这一目标做出贡献。

In this project we continue research on key mathematical problems related to the study of entanglement in quantum mechanical systems, with potential application to quantum computation. A central goal is to extend results on determining when a system is truly in the quantum rather than the classical realm -- the separability problem. These refinements will lead to a better understanding of the mathematical models and the quantification of quantum information, and the results may have impact on the design of experiments.brbrIn the mid-nineties Peter Shor and Lov Grover announced quantum-computer based algorithms that are provably more efficient than comparable algorithms based on classical computers. Construction of a workable quantum computer is a major challenge that requires a clear understanding of both theoretical and technical issues. This research will contribute to that goal by further expanding our understanding of the theoretical models of quantum information and the applicability of those models to quantum computation.