Publications

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Journal Article
C. Miller and Shi, Y., Universal Security for Randomness Expansion from the Spot-Checking Protocol, SIAM Journal on Computing, vol. 46, no. 4, 2017.
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.
A. Kalev and Miller, C., Rigidity of the magic pentagram game, Quantum Science and Technology, vol. 3, no. 1, p. 015002, 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.
S. Breiner, Kalev, A., and Miller, C., Parallel Self-Testing of the GHZ State with a Proof by Diagrams, EPTCS , vol. 287, pp. 43-66, 2019.
R. Jain, Miller, C., and Shi, Y., Parallel Device-Independent Quantum Key Distribution, 2017.
B. Hemenway, Miller, C., Shi, Y., and Wootters, M., Optimal entanglement-assisted one-shot classical communication, Physical Review A, vol. 87, p. 062301, 2013.
E. Chitambar, Miller, C., and Shi, Y., Matrix pencils and entanglement classification, Journal of Mathematical Physics, vol. 51, no. 7, p. 072205, 2010.
H. Fu and Miller, C., Local randomness: Examples and application, Phys. Rev. A, no. 97, p. 032324, 2018.
C. Miller, Colbeck, R., and Shi, Y., Keyring models: an approach to steerability, Journal of Mathematical Physics, vol. 59, p. 022103, 2018.
S. Breiner, Miller, C., and Ross, N. J., Graphical Methods in Device-Independent Quantum Cryptography, Quantum, vol. 3, no. 146, 2019.
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.
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, 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., 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.
Book Chapter
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.