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We study the Hamiltonian associated with the quantum adiabatic algorithm with a random cost function.
Matrix Analysis and Applied Linear Algebra
Carl D. Meyer · 2001
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The exact ground state for a class of matrix Hamiltonian models: quantum phase transition and universality in the thermodynamic limit
M. Ostilli and C. Presilla · 2006
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Bounds for the adiabatic approximation with applications to quantum computation
S. Jansen, M.-B. Ruskai, and R. Seiler · 2007
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How to Make the Quantum Adiabatic Algorithm Fail
E. Farhi, J. Goldstone, S. Gutmann, and D. Nagaj · 2008
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Size Dependence of the Minimum Excitation Gap in the Quantum Adiabatic Algorithm
A. P. Young, S. Knysh, and V. N. Smelyanskiy · 2008
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Adiabatic quantum optimization fails for random instances of NP-complete problems
B. Altshuler, H. Krovi, and J. Roland · 2009
Cited alongside, same era.
Anderson localization casts clouds over adiabatic quantum optimization
B. Altshuler, H. Krovi, and J. Roland · 2009
Cited alongside, same era.
First-order quantum phase transition in adiabatic quantum computation
M. H. S. Amin and V. Choi · 2009
Cited alongside, same era.
Quantum Adiabatic Algorithms, Small Gaps, and Different Paths
E. Farhi, J. Goldstone, D. Gosset, S. Gutmann, H. B. Meyer, and P. Shor · 2009
Cited alongside, same era.
Quantum Annealing of Hard Problems
T. Jörg, F. Krzakala, J. Kurchan, and A. C. Maggs · 2010
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S. Knysh and V. Smelyanskiy · 2010
Closest in time.
Phase transition and annealing in quantum random energy models
C. Presilla and M. Ostilli · 2010
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First-Order Phase Transition in the Quantum Adiabatic Algorithm
A. P. Young, S. Knysh, and V. N. Smelyanskiy · 2010
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