Dr. David Lyons and Dr. Scott Walck

## Recent results in Quantum Information Science

Since spring 2008, David Lyons (Mathematical Sciences) and Scott Walck (Physics) have jointly published 4 papers in physics research journals in the area of quantum information science (QIS). The two researchers have also delivered 8 seminar presentations to regional, national and international colloquia and research groups. (See their website for bibliographic details.)QIS seeks to understand the computational and communication power of physical systems that operate on a scale so small that they are governed by the weird rules of quantum mechanics. The applied side of this science works to solve engineering problems to construct new devices called quantum computers that will carry out fantastic and powerful new kinds of computation. Lyons and Walck work on the theoretical side of QIS, where they study the phenomenon of quantum entanglement that plays a key role, yet is poorly understood. Lyons and Walck have pursued a program that achieves a partial classification of entanglement types using mathematical tools.

Work in the last 18 months continues Lyons' and Walck's program of studying the phenomenon of quantum entanglement as it pertains to applications in quantum computing and communications. Loosely speaking, they seek to identify quantum states that will be especially useful for applications of quantum information theory. They also study the relation between information contained in quantum states and information contained in subsystems. Both of these lines of investigation are of active interest to researchers in mathematics, physics, computer science, and chemistry.

In September 2009, Lyons and Walck were awarded a National Science Foundation (NSF) grant, renewable for 3 years, that continues the work funded by their previous NSF grant. Their current project is a series of investigations that follows naturally from previous work in entanglement classification.

Lyons and Walck mentor and collaborate with student research assistants. Recent student researchers have been Stephanie Blanda '09, Curt Cenci '11, Laura Snyder '11, and Adam Hansell '11.

For more information, see the website for the Mathematical Physics Research Group.