Carl A. Miller
Assistant Research Scientist
Electrical Engineering & Computer Science
University of Michigan, Ann Arbor
E-mail: carlmi @ umich.edu
Office: 2709 Beyster Bldg.
During the Winter 2014 semester I'm going to be away at the
for Theoretical Computer Science.
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.
protocols for securely expanding randomness and distributing
keys using untrusted quantum devices.
Carl A. Miller,
- Optimal robust quantum
self-testing by binary nonlocal XOR games.
Carl A. Miller, Yaoyun
8th Conference on the Theory of Quantum Computation, Communication
and Cryptography, vol. 22, 254-262 (2013).
- 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.