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 information processing (with
My graduate work was in pure mathematics. I wrote my dissertation
on sheaf theory in characteristic p.
Here is a set of talk slides on robust
random number generation. (Versions of this talk were given
at QIP 2014 and STOC 2014.)
- Universal security
for randomness expansion.
Carl A. Miller,
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.