Carl A. Miller
Assistant Research Scientist
Electrical Engineering & Computer Science
University of Michigan, Ann Arbor
E-mail: carlmi @ umich.edu
Office: 2709 Beyster Bldg.
My research focus is on quantum information theory, an
interesting field that has a convergence of ideas
from computer science, mathematics, and physics. The main
theme of my research is developing mathematical tools
to solve problems in quantum communication and computation.
I run a research group on quantum
(along with Yaoyun Shi).
My previous research work was in pure mathematics. I wrote my
algebraic geometry in characteristic p.
- Optimal robust quantum
self-testing by binary nonlocal XOR games.
Carl A. Miller, Yaoyun
- Optimal entanglement-assisted
one-shot classical communication.
Brett Hemenway, Carl A. Miller,
Yaoyun Shi, Mary Wootters.
Physical Review A 87, 062301 (2013).
- Matrix pencils
and entanglement classification.
Eric Chitambar, Carl A. Miller,
Journal of Mathematical Physics 51, 072205 (2010).
- An Euler-Poincare bound for
equicharacteristic etale sheaves.
(A condensed version of my dissertation.)
Algebra & Number Theory 4 (2010), No. 1, 21-45.
- Exponential iterated
integrals and the relative solvable completion of the fundamental
group of a manifold.
Topology 44 (2005) 351-373.