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S. S. Bullock and O'Leary, D. P., “Locality Bounds on Hamiltonians for Stabilizer Codes”, Quantum Information and Computation, vol. 9, 2009.
M. C. Tran, Ehrenberg, A., Guo, A. Y., Titum, P., Abanin, D. A., and Gorshkov, A. V., “Locality and Heating in Periodically Driven, Power-law Interacting Systems”, Phys. Rev. A , vol. 100, no. 052103, 2019.
M. C. Tran, Guo, A. Y., Su, Y., Garrison, J. R., Eldredge, Z., Foss-Feig, M., Childs, A. M., and Gorshkov, A. V., “Locality and digital quantum simulation of power-law interactions”, Phys. Rev. X 9, 031006, vol. 9, no. 031006, 2019.
H. Fu and Miller, C., “Local randomness: Examples and application”, Phys. Rev. A, no. 97, p. 032324, 2018.
N. J. Coble, Coudron, M., Nelson, J., and Nezhadi, S. Sajjad, “Local Hamiltonians with no low-energy stabilizer states”, 2023.
Y. - K. Liu, “The Local Consistency Problem for Stoquastic and 1-D Quantum Systems”, 2007.
J. Haferkamp, Faist, P., Kothakonda, N. B. T., Eisert, J., and Halpern, N. Yunger, “Linear growth of quantum circuit complexity”, Nat. Phys., 2022.
D. An, Liu, J. - P., and Lin, L., “Linear combination of Hamiltonian simulation for non-unitary dynamics with optimal state preparation cost”, Phys. Rev. Lett., vol. 131, no. 150603, 2023.
K. C. Cox, Bienias, P., Meyer, D. H., Fahey, D. P., Kunz, P. D., and Gorshkov, A. V., “Linear and continuous variable spin-wave processing using a cavity-coupled atomic ensemble”, 2021.
L. Pedro García-Pintos and del Campo, A., “Limits to Perception by Quantum Monitoring with Finite Efficiency”, Entropy, vol. 23, p. 1527, 2021.
O. Shtanko, Deshpande, A., Julienne, P. S., and Gorshkov, A. V., “Limits on Classical Simulation of Free Fermions with Dissipation”, 2020.
A. M. Childs and Kothari, R., “Limitations on the simulation of non-sparse Hamiltonians”, 2009.
A. W. Harrow, Natarajan, A., and Wu, X., “Limitations of semidefinite programs for separable states and entangled games”, Commun. Math. Phys., vol. 366, no. 2, 2019.
M. Aschbacher, Childs, A. M., and Wocjan, P., “The limitations of nice mutually unbiased bases”, Journal of Algebraic Combinatorics, vol. 25, no. 2, pp. 111 - 123, 2007.
A. Ghazaryan, Graß, T., Gullans, M., Ghaemi, P., and Hafezi, M., “Light-induced fractional quantum Hall phases in graphene”, Physical Review Letters, vol. 119, no. 24, p. 247403, 2017.
N. B. Phillips, Gorshkov, A. V., and Novikova, I., “Light storage in an optically thick atomic ensemble under conditions of electromagnetically induced transparency and four-wave mixing ”, Physical Review A, vol. 83, no. 6, 2011.
M. C. Tran, Guo, A. Y., Baldwin, C. L., Ehrenberg, A., Gorshkov, A. V., and Lucas, A., “The Lieb-Robinson light cone for power-law interactions”, 2021.
M. C. Tran, Garrison, J. R., Gong, Z. - X., and Gorshkov, A. V., “Lieb-Robinson bounds on n-partite connected correlations”, Physical Review A, vol. 96, no. 5, 2017.
M. C. Tran, Garrison, J. R., Gong, Z. - X., and Gorshkov, A. V., “Lieb-Robinson bounds on n-partite connected correlation functions”, Phys. Rev. A 96, 052334, 2017.
B. Lackey, “A Lichnerowicz Vanishing Theorem for Finsler Spaces”, in The Theory of Finslerian Laplacians and Applications, Springer, 1998, pp. 227–243.
A. M. Childs and Gosset, D., “Levinson's theorem for graphs II”, Journal of Mathematical Physics, vol. 53, no. 10, p. 102207, 2012.
A. M. Childs and Strouse, D. J., “Levinson's theorem for graphs”, Journal of Mathematical Physics, vol. 52, no. 8, p. 082102, 2011.
T. C. Mooney, Bringewatt, J., and Brady, L. T., “Lefschetz Thimble Quantum Monte Carlo for Spin Systems”, 2021.
M. Hinsche, Ioannou, M., Nietner, A., Haferkamp, J., Quek, Y., Hangleiter, D., Seifert, J. - P., Eisert, J., and Sweke, R., “Learnability of the output distributions of local quantum circuits”, 2021.
Y. Alnawakhtha, Mantri, A., Miller, C., and Wang, D., “Lattice-Based Quantum Advantage from Rotated Measurements”, 2022.