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Andrew M. Childs
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2010
A. M. Childs
,
“
On the relationship between continuous- and discrete-time quantum walk
”
,
Communications in Mathematical Physics
, vol. 294, no. 2, pp. 581 - 603, 2010.
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2009
A. M. Childs
,
“
Universal computation by quantum walk
”
,
Physical Review Letters
, vol. 102, no. 18, 2009.
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D. W. Berry
and
Childs, A. M.
,
“
Black-box Hamiltonian simulation and unitary implementation
”
, 2009.
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A. M. Childs
and
Kothari, R.
,
“
Limitations on the simulation of non-sparse Hamiltonians
”
, 2009.
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A. M. Childs
,
Cleve, R.
,
Jordan, S. P.
, and
Yeung, D.
,
“
Discrete-query quantum algorithm for NAND trees
”
,
Theory of Computing
, vol. 5, no. 1, pp. 119 - 123, 2009.
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A. Ambainis
,
Childs, A. M.
,
Le Gall, F.
, and
Tani, S.
,
“
The quantum query complexity of certification
”
, 2009.
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2007
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
and
Lee, T.
,
“
Optimal quantum adversary lower bounds for ordered search
”
, 2007.
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A. M. Childs
,
Schulman, L. J.
, and
Vazirani, U. V.
,
“
Quantum algorithms for hidden nonlinear structures
”
, 2007.
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A. M. Childs
,
Reichardt, B. W.
,
Spalek, R.
, and
Zhang, S.
,
“
Every NAND formula of size N can be evaluated in time N^1/2+o(1) on a quantum computer
”
, 2007.
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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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2006
A. M. Childs
,
Harrow, A. W.
, and
Wocjan, P.
,
“
Weak Fourier-Schur sampling, the hidden subgroup problem, and the quantum collision problem
”
, 2006.
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A. M. Childs
,
Leung, D. W.
, and
Lo, H. - K.
,
“
Two-way quantum communication channels
”
,
International Journal of Quantum Information
, vol. 04, no. 01, pp. 63 - 83, 2006.
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2005
A. M. Childs
,
Leung, D. W.
, and
Nielsen, M. A.
,
“
Unified derivations of measurement-based schemes for quantum computation
”
,
Physical Review A
, vol. 71, no. 3, 2005.
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A. M. Childs
and
Wocjan, P.
,
“
On the quantum hardness of solving isomorphism problems as nonabelian hidden shift problems
”
, 2005.
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A. M. Childs
and
van Dam, W.
,
“
Quantum algorithm for a generalized hidden shift problem
”
, 2005.
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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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D. Bacon
,
Childs, A. M.
, and
van Dam, W.
,
“
Optimal measurements for the dihedral hidden subgroup problem
”
, 2005.
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2004
A. M. Childs
and
Goldstone, J.
,
“
Spatial search by quantum walk
”
,
Physical Review A
, vol. 70, no. 2, 2004.
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A. M. Childs
and
Goldstone, J.
,
“
Spatial search and the Dirac equation
”
,
Physical Review A
, vol. 70, no. 4, 2004.
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A. M. Childs
,
Leung, D. W.
, and
Vidal, G.
,
“
Reversible simulation of bipartite product Hamiltonians
”
,
IEEE Transactions on Information Theory
, vol. 50, no. 6, pp. 1189 - 1197, 2004.
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2003
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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A. M. Childs
and
Eisenberg, J. M.
,
“
Quantum algorithms for subset finding
”
, 2003.
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2002
A. M. Childs
,
Deotto, E.
,
Farhi, E.
,
Goldstone, J.
,
Gutmann, S.
, and
Landahl, A. J.
,
“
Quantum search by measurement
”
,
Physical Review A
, vol. 66, no. 3, 2002.
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M. A. Nielsen
,
Bremner, M. J.
,
Dodd, J. L.
,
Childs, A. M.
, and
Dawson, C. M.
,
“
Universal simulation of Hamiltonian dynamics for qudits
”
,
Physical Review A
, vol. 66, no. 2, 2002.
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