Adjunct Assistant Professor

3100K Atlantic Building

(301) 405-7367

Carl Miller is an Adjunct Assistant Professor in the University of Maryland Institute for Advanced Computer Studies and a Mathematician in the Cryptographic Technologies group at NIST.

Miller studies new security proofs for quantum cryptography. His particular focus is on developing mathematical techniques for untrusted-device cryptography, where initial assumptions for the security proof are minimal. Specific topics of interest include random number generation, rigidity properties of nonlocal games, and parallel repetition.

Miller received a Ph. D. in Mathematics from Berkeley in 2007.

“Keyring models: an approach to steerability”, Journal of Mathematical Physics, vol. 59, p. 022103, 2018. ,

“Local randomness: Examples and application”, Phys. Rev. A, no. 97, p. 032324, 2018. ,

“Rigidity of the magic pentagram game”, Quantum Science and Technology, vol. 3, no. 1, p. 015002, 2017. ,

“Universal Security for Randomness Expansion from the Spot-Checking Protocol”, SIAM Journal on Computing, vol. 46, no. 4, 2017. ,

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

“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. ,

“Optimal entanglement-assisted one-shot classical communication”, Physical Review A, vol. 87, p. 062301, 2013. ,

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

“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. ,

“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. ,

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

“Matrix pencils and entanglement classification”, Journal of Mathematical Physics, vol. 51, no. 7, p. 072205, 2010. ,

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