Quantum Entanglement, Measurement, and Separability

在这个项目中，我们继续研究与研究量子力学系统中的纠缠有关的关键数学问题，并将其应用于量子计算。一个中心目标是扩展关于确定一个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，结果可能会对实验的设计产生影响。brbr在90年代中期，Peter Shor和Lov Grover宣布了基于量子计算机的算法，事实证明，这些算法比基于经典计算机的同类算法效率更高。构建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都有清晰的理解。这项研究将通过进一步扩大我们对量子信息理论模型的理解，以及这些模型在量子计算中的适用性，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.