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In this note, we show that quantum lower bounds obtained using the adversary method hold in the Hamiltonian oracle model.
Strengths and Weaknesses of Quantum Computing
Charles H. Bennett, Ethan Bernstein, Gilles Brassard, and Umesh Vazirani · 1997
Earlier work this paper cites.
Analog analogue of a digital quantum computation
Edward Farhi and Sam Gutmann · 1998
Earlier work this paper cites.
Quantum Decision Trees and Semidefinite Programming
Howard Barnum, Michael Saks, and Mario Szegedy · 2003
Earlier work this paper cites.
Lower bounds for randomized and quantum query complexity using kolmogorov arguments
Sophie Laplante and Frederic Magniez · 2003
Earlier work this paper cites.
Lower bounds on quantum query complexity
Peter Høyer and Robert Špalek · 2005
Cited alongside, same era.
On the power of ambainis lower bounds
Shengyu Zhang · 2005
Cited alongside, same era.
Polynomial degree vs. quantum query complexity
Andris Ambainis · 2006
Cited alongside, same era.
All quantum adversary methods are equivalent
Robert Špalek and Mario Szegedy · 2006
Cited alongside, same era.
A Quantum Algorithm for the Hamiltonian NAND Tree
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2007
Later among the works it cites.
Negative weights make adversaries stronger
Peter Hoyer, Troy Lee, and Robert Špalek · 2007
Later among the works it cites.
Hamiltonian oracles
Carlos Mochon · 2007
Later among the works it cites.
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