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Andrew M. Childs
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D. W. Berry
,
Childs, A. M.
,
Cleve, R.
,
Kothari, R.
, and
Somma, R. D.
,
“
Exponential improvement in precision for simulating sparse Hamiltonians
”
,
Proceedings of the 46th ACM Symposium on Theory of Computing (STOC 2014)
, pp. 283-292, 2014.
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F
A. M. Childs
,
Ostrander, A.
, and
Su, Y.
,
“
Faster quantum simulation by randomization
”
,
Quantum
, vol. 3, no. 182, 2019.
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A. M. Childs
,
Farhi, E.
,
Goldstone, J.
, and
Gutmann, S.
,
“
Finding cliques by quantum adiabatic evolution
”
, 2000.
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A. M. Childs
,
Leung, D.
,
Mancinska, L.
, and
Ozols, M.
,
“
A framework for bounding nonlocality of state discrimination
”
,
Communications in Mathematical Physics
, vol. 323, no. 3, pp. 1121 - 1153, 2013.
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D. Bacon
,
Childs, A. M.
, and
van Dam, W.
,
“
From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups
”
, 2005.
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H
A. M. Childs
and
Wiebe, N.
,
“
Hamiltonian Simulation Using Linear Combinations of Unitary Operations
”
,
Quantum Information and Computation
, vol. 12, no. 11-12, pp. 901-924, 2012.
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D. W. Berry
,
Childs, A. M.
, and
Kothari, R.
,
“
Hamiltonian simulation with nearly optimal dependence on all parameters
”
,
Proceedings of the 56th IEEE Symposium on Foundations of Computer Science
, pp. 792-809, 2015.
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Q. Zhao
,
Zhou, Y.
,
Shaw, A. F.
,
Li, T.
, and
Childs, A. M.
,
“
Hamiltonian simulation with random inputs
”
,
Phys. Rev. Lett. 129, 270502
, vol. 129, no. 270502, 2022.
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A. M. Childs
,
Liu, J. - P.
, and
Ostrander, A.
,
“
High-precision quantum algorithms for partial differential equations
”
,
Quantum 5, 574
, vol. 5, no. 574, 2021.
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I
A. Y. Guo
,
Deshpande, A.
,
Chu, S. - K.
,
Eldredge, Z.
,
Bienias, P.
,
Devulapalli, D.
,
Su, Y.
,
Childs, A. M.
, and
Gorshkov, A. V.
,
“
Implementing a Fast Unbounded Quantum Fanout Gate Using Power-Law Interactions
”
,
Phys. Rev. Research
, vol. 4, no. L042016, 2022.
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A. M. Childs
,
Landahl, A. J.
, and
Parrilo, P. A.
,
“
Improved quantum algorithms for the ordered search problem via semidefinite programming
”
,
Physical Review A
, vol. 75, no. 3, 2007.
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A. M. Childs
,
Leung, D.
,
Mancinska, L.
, and
Ozols, M.
,
“
Interpolatability distinguishes LOCC from separable von Neumann measurements
”
,
Journal of Mathematical Physics
, vol. 54, no. 11, p. 112204, 2013.
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L
D. An
,
Childs, A. M.
,
Lin, L.
, and
Ying, L.
,
“
Laplace transform based quantum eigenvalue transformation via linear combination of Hamiltonian simulation
”
, 2024.
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A. M. Childs
and
Strouse, D. J.
,
“
Levinson's theorem for graphs
”
,
Journal of Mathematical Physics
, vol. 52, no. 8, p. 082102, 2011.
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A. M. Childs
and
Gosset, D.
,
“
Levinson's theorem for graphs II
”
,
Journal of Mathematical Physics
, vol. 53, no. 10, p. 102207, 2012.
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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.
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A. M. Childs
and
Kothari, R.
,
“
Limitations on the simulation of non-sparse Hamiltonians
”
, 2009.
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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.
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Z. Liu
,
Childs, A. M.
, and
Gottesman, D.
,
“
Low-depth quantum symmetrization
”
, 2024.
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A. M. Childs
,
Haselgrove, H. L.
, and
Nielsen, M. A.
,
“
Lower bounds on the complexity of simulating quantum gates
”
,
Physical Review A
, vol. 68, no. 5, 2003.
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M
A. M. Childs
,
Gosset, D.
,
Nagaj, D.
,
Raha, M.
, and
Webb, Z.
,
“
Momentum switches
”
,
Quantum Information and Computation
, vol. 15, no. 7-8, pp. 601-621, 2015.
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N
A. M. Childs
and
Su, Y.
,
“
Nearly optimal lattice simulation by product formulas
”
,
Phys. Rev. Lett.
, vol. 123, no. 050503, 2019.
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A. Bapat
,
Schoute, E.
,
Gorshkov, A. V.
, and
Childs, A. M.
,
“
Nearly optimal time-independent reversal of a spin chain
”
,
accepted for publication in Physical Review Research
, 2020.
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G. Alagic
,
Childs, A. M.
,
Grilo, A. B.
, and
Hung, S. - H.
,
“
Non-interactive classical verification of quantum computation
”
,
Theory of Cryptography Conference (TCC)
, vol. Lecture Notes in Computer Science 12552, pp. 153-180, 2020.
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O
D. Bacon
,
Childs, A. M.
, and
van Dam, W.
,
“
Optimal measurements for the dihedral hidden subgroup problem
”
, 2005.
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