Fetching the paper…
Reading the bibliography…
Consider a path of non-degenerate eigenstates of unitary operators or Hamiltonians with minimum eigenvalue gap G.
Probability inequalities for sums of bounded random variables
W. Hoeffding · 1963
Earlier work this paper cites.
Adiabatic theorems and applications to the quantum hall effect
J. E. Avron, R. Seiler, and L. G. Yaffe · 1987
Earlier work this paper cites.
Global energy minimum searches using an approximate solution of the imaginary time schroedinger equation
P. Amara, D. Hsu, and J. E. Straub · 1993
Earlier work this paper cites.
Quantum annealing: A new method for minimizing multidimensional functions
A. B. Finnila, M. A. Gomez, C. Sebenik, C. Stenson, and J. D. Doll · 1994
Earlier work this paper cites.
Quantum annealing in the transverse ising model
T. Kadowaki and H. Nishimori · 1998
Earlier work this paper cites.
Quantum computation by adiabatic evolution
E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser · 2000
Earlier work this paper cites.
A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem
E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda · 2001
Earlier work this paper cites.
Quantum algorithms for fermionic simulations
G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme · 2001
Earlier work this paper cites.
Quantum search by measurement
A. M. Childs, E. Deotto, E. Farhi, J. Goldstone, S. Gutmann, and A. J. Landahl · 2002
Earlier work this paper cites.
Elementary exponential error estimates for the adiabatic approximation
G. A. Hagedorn and A. Joye · 2002
Earlier work this paper cites.
Adiabatic quantum state generation and statistical zero knowledge
D. Aharonov and A. Ta-Shma · 2003
Cited alongside, same era.
An elementary proof of the quantum adiabatic theorem
A. Ambainis and O. Regev · 2004
Cited alongside, same era.
Quantum speed-up of markov chain based algorithms
M. Szegedy · 2004
Cited alongside, same era.
Simulated quantum computation of molecular energies
A. Aspuru-Guzik, A. D. Dutoi, P. J. Love, and M. Head-Gordon · 2005
Cited alongside, same era.
Quantum Arthur–-Merlin games
C. Marriott and J. Watrous · 2005
Cited alongside, same era.
A new algorith for fixed point quantum search
T. Tulsi, L. Grover, and A. Patel · 2006
Cited alongside, same era.
Quantum algorithm for solving linear systems of equations
A. W. Harrow, A. Hassidim, and S. Lloyd · 2008
Later among the works it cites.
Quantum simulations of classical annealing processes
R. D. Somma, S. Boixo, H. Barnum, and E. Knill · 2008
Later among the works it cites.
Speedup via quantum sampling
P. Wocjan and A. Abeyesinghe · 2008
Later among the works it cites.
Consistency of the adiabatic theorem
M. H. S. Amin · 2009
Later among the works it cites.
Eigenpath traversal by phase randomization
S. Boixo, E. Knill, and R. D. Somma · 2009
Later among the works it cites.
Adiabatic approximation with better than exponential accuracy for many-body systems and quantum computation
D. A Lidar, A. T Rezakhani, and A. Hamma · 2009
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
S. Jansen, M-B Ruskai, and R. Seiler · 2007
Cited alongside, same era.
Optimal quantum measurements of expectation values of observables
E. Knill, G. Ortiz, and R. Somma · 2007
Cited alongside, same era.
Ultracold atomic gases in optical lattices: Mimicking condensed matter physics and beyond
M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sende, and U. Sen · 2007
Cited alongside, same era.
Fast amplification of QMA
D. Nagaj, P. Wocjan, and Y. Zhang · 2009
Later among the works it cites.
Necessary condition for the quantum adiabatic approximation
S. Boixo and R. D. Somma · 2010
Closest in time.
O. Oreshkov and J. Calsamiglia · 2010
Closest in time.