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Publications

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D
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.
E
C. Miller, “An Elementary Proof of Private Random Number Generation from Bell Inequalities”, 2017.
C. Miller, “An Euler–Poincaré bound for equicharacteristic étale sheaves”, Algebra & Number Theory, vol. 4, no. 1, pp. 21 - 45, 2010.
K. A. Jackson, Miller, C., and Wang, D., “Evaluating the Security of CRYSTALS-Dilithium in the Quantum Random Oracle Model”, in Advances in Cryptology – EUROCRYPT 2024, Cham, 2024.
C. Miller, “Evasiveness of Graph Properties and Topological Fixed-Point Theorems”, Foundations and Trends in Theoretical Computer Science, vol. 7, pp. 337-415, 2013.
Y. Zhang, Shalm, L. K., Bienfang, J. C., Stevens, M. J., Mazurek, M. D., Nam, S. Woo, Abellán, C., Amaya, W., Mitchell, M. W., Fu, H., Miller, C., Mink, A., and Knill, E., “Experimental Low-Latency Device-Independent Quantum Randomness”, Phys. Rev. Lett. , vol. 124, no. 010505, 2020.
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.
G
S. Breiner, Miller, C., and Ross, N. J., “Graphical Methods in Device-Independent Quantum Cryptography”, Quantum, vol. 3, no. 146, 2019.
H
C. Miller, “Hidden-State Proofs of Quantumness”, 2024.
I
C. Miller, “The impossibility of efficient quantum weak coin flipping”, STOC 2020: Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing , pp. 916-929, 2020.
K
C. Miller, Colbeck, R., and Shi, Y., “Keyring models: an approach to steerability”, Journal of Mathematical Physics, vol. 59, p. 022103, 2018.
L
Y. Alnawakhtha, Mantri, A., Miller, C., and Wang, D., “Lattice-Based Quantum Advantage from Rotated Measurements”, Quantum, vol. 8, p. 1399, 2024.
H. Fu and Miller, C., “Local randomness: Examples and application”, Phys. Rev. A, no. 97, p. 032324, 2018.
M
C. Miller, “The Mathematics of Quantum Coin-Flipping”, Notices of the American Mathematical Society, vol. 69, no. 11, pp. 1908-1917, 2022.
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, Miller, C., and Slofstra, W., “The membership problem for constant-sized quantum correlations is undecidable”, 2021.
O
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 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.
P
R. Jain, Miller, C., and Shi, Y., “Parallel Device-Independent Quantum Key Distribution”, IEEE Transactions on Information Theory, vol. 66, no. 9, pp. 5567-5584, 2020.
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.
C. Miller and Alnawakhtha, Y., “Perfect cheating is impossible for single-qubit position verification”, 2024.
R
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.
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., “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.
S
G. Alagic, Alperin-Sheriff, J., Apon, D., Cooper, D., Dang, Q., Miller, C., Moody, D., Peralta, R., Perlner, R., Robinson, A., Smith-Tone, D., and Liu, Y. - K., “Status Report on the First Round of the NIST Post-Quantum Cryptography Standardization Process”, School: National Institute for Standards and Technology , 2019.