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.
My graduate work was in pure mathematics. I wrote my dissertation
on sheaf theory in characteristic p.
Two talks on quantum random number generation (one long, one short):
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).
- Evasiveness of graph properties
and topological fixed-point theorems. (Expository.)
Foundations and Trends in Theoretical Computer Science 7
No. 4, pp. 337-415.
Published May 2013.
- An Euler-Poincare bound for
equicharacteristic etale sheaves.
(A condensed version of my dissertation.)
Algebra & Number Theory 4 (2010), No. 1, 21-45.