Carl Miller | QuICS

Adjunct Associate Professor

3100K Atlantic Building

(301) 405-7367

Carl Miller is an Adjunct Associate Professor in the Institute for Advanced Computer Studies, and a Mathematician in the Computer Security Division at NIST. His research is on developing new cryptography for the quantum era. Topics of interest include verifiable random number generation, quantum protocols between mutually mistrustful parties, and classical "postquantum" cryptographic protocols. Miller also studies applications to quantum information of concepts that originated in pure mathematics.

Miller received a Ph. D. in mathematics from Berkeley in 2007, and was a research fellow in the Electrical Engineering and Computer Science Department at the University of Michigan before joining QuICS.

Courses

Research Interactions in Mathematics (RIT on Quantum Information) (MATH489/689, Spring 2022)

Research Interactions in Mathematics (RIT on Quantum Information) (MATH489/689, Fall 2020)

Research Interactions in Mathematics (RIT on Quantum Information) (MATH489/689, Fall 2018)

Research Interactions in Mathematics (RIT on Quantum Information) (MATH489/689, Fall 2017)

Research Interactions in Mathematics (RIT on Quantum Information) (MATH489/689, Fall 2016)

Publications

2017

C. Miller and Shi, Y., “Randomness in nonlocal games between mistrustful players”, Quantum Information and Computation, vol. 17, no. 7&8, pp. 0595-0610, 2017.

2016

C. Miller and Shi, Y., “Robust Protocols for Securely Expanding Randomness and Distributing Keys Using Untrusted Quantum Devices”, Journal of the ACM, vol. 63, no. 4, pp. 33:1–33:63, 2016.

2013

B. Hemenway, Miller, C., Shi, Y., and Wootters, M., “Optimal entanglement-assisted one-shot classical communication”, Physical Review A, vol. 87, p. 062301, 2013.

C. Miller, “Evasiveness of Graph Properties and Topological Fixed-Point Theorems”, Foundations and Trends in Theoretical Computer Science, vol. 7, pp. 337-415, 2013.

C. Miller and Shi, Y., “Optimal robust self-testing by binary nonlocal XOR games”, in 8th Conference on the Theory of Quantum Computation, Communication and Cryptography, TQC 2013, vol. 22, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 2013, pp. 254–262.

2011

E. Chitambar, Miller, C., and Shi, Y., “Deciding Unitary Equivalence Between Matrix Polynomials and Sets of Bipartite Quantum States”, Quantum Information and Computation, vol. 11, no. 9-10, pp. 813–819, 2011.

2010

C. Miller, “An Euler–Poincaré bound for equicharacteristic étale sheaves”, Algebra & Number Theory, vol. 4, no. 1, pp. 21 - 45, 2010.

E. Chitambar, Miller, C., and Shi, Y., “Matrix pencils and entanglement classification”, Journal of Mathematical Physics, vol. 51, no. 7, p. 072205, 2010.

2005

C. Miller, “Exponential iterated integrals and the relative solvable completion of the fundamental group of a manifold”, Topology, vol. 44, no. 2, pp. 351 - 373, 2005.