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A study of heuristic guesses for adiabatic quantum computation
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“Promising improvement strategies comprise non-stoquastic Hamiltonians [170], spatially inhomogeneous driving of the transverse field, and reverse annealing [205].”
From Quantum Combinatorial Optimization in the NISQ Era: A Systematic Mapping Study (2024) · cites this paper as [205]
Citations
Cites
(1979) · Cited by 43,841
Messiah, A. (1961) · Cited by 16,012
Quantum Mechanics Helps in Searching for a Needle in a Haystack
Grover, L. K. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.325 · Cited by 4,306 · cited 1×
“He showed that using information about the structure of the problem as a heuristic guide can be used to enhance the performance of quantum search compared to the scheme proposed by Grover [ 18 ].”
MethodQuantum information and computation
Bennett, C. H., & DiVincenzo, D. P. (2000) · Nature · doi:10.1038/35005001 · Cited by 3,263
Introduction to the Theory of Computation
Sipser, M. (1996) · ACM SIGACT News · doi:10.1145/230514.571645 · Cited by 2,886
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
Farhi, E., Goldstone, J., Gutmann, S., Lapan, J., Lundgren, A., & Preda, D. (2001) · Science · doi:10.1126/science.1057726 · Cited by 2,056
Simulated Quantum Computation of Molecular Energies
Aspuru-Guzik, A., Dutoi, A. D., Love, P. J., & Head-Gordon, M. (2005) · Science · doi:10.1126/science.1113479 · Cited by 1,418
Self-citationAnalytic and Algorithmic Solution of Random Satisfiability Problems
Mézard, M., Giorgio Parisi, A., & Zecchina, R. (2002) · Science · doi:10.1126/science.1073287 · Cited by 1,045
The Complexity of the Local Hamiltonian Problem
Kempe, J., Kitaev, A., & Regev, O. (2006) · SIAM Journal on Computing · doi:10.1137/s0097539704445226 · Cited by 648
Quantum search by local adiabatic evolution
Roland, J., & Cerf, N. J. (2002) · Physical Review A · doi:10.1103/physreva.65.042308 · Cited by 629
Quantum Computation by Adiabatic Evolution
Farhi, E., Goldstone, J., Gutmann, S., & Sipser, M. (2000) · arXiv · doi:10.48550/arxiv.quant-ph/0001106 · Cited by 536 · cited 6×
“H f comply with the property that it must encode, in its ground state, the solution to the particular 3-SAT USA instance it was designed for [ 1 ,45].”
BackgroundMethodInfluentialRobustness of adiabatic quantum computation
Childs, A. M., Farhi, E., & Preskill, J. P. (2001) · Physical Review A · doi:10.1103/physreva.65.012322 · Cited by 468
Bounds for the adiabatic approximation with applications to quantum computation
Jansen, S., Ruskai, M.-B., & Seiler, R. (2007) · Journal of Mathematical Physics · doi:10.1063/1.2798382 · Cited by 385
Adiabatic quantum state generation and statistical zero knowledge
Aharonov, D., & Ta-Shma, A. (2003) · Proceedings of the thirty-fifth annual ACM symposium on Theory of computing · doi:10.1145/780542.780546 · Cited by 322
Rigorous location of phase transitions in hard optimization problems
Achlioptas, D., Naor, A., & Peres, Y. (2005) · Nature · doi:10.1038/nature03602 · Cited by 284
Simple Proof of Equivalence between Adiabatic Quantum Computation and the Circuit Model
Mizel, A., Lidar, D. A., & Mitchell, M. W. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.070502 · Cited by 218
Clustering of Solutions in the Random Satisfiability Problem
Mézard, M., Mora, T., & Zecchina, R. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.197205 · Cited by 217
Bounds for the adiabatic approximation with applications to quantum computationPreprint
Jansen, S., Ruskai, M. B., & Seiler, R. (2006) · Cited by 217
Consistency of the Adiabatic Theorem
Amin, M. H. S. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.220401 · Cited by 201
Inconsistency in the Application of the Adiabatic Theorem
Marzlin, K.-P., & Sanders, B. C. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.160408 · Cited by 197
First-Order Phase Transition in the Quantum Adiabatic Algorithm
Young, A. P., Knysh, S., & Smelyanskiy, V. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.020502 · Cited by 168
Quantum Adiabatic Brachistochrone
Rezakhani, A. T., Kuo, W.-J., Hamma, A., Lidar, D. A., & Zanardi, P. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.080502 · Cited by 163
The complexity of quantum spin systems on a two-dimensional square lattice
Oliveira, R. I., & Terhal, B. M. (2008) · CERN Document Server (European Organization for Nuclear Research) · doi:10.5555/2016985.2016987 · Cited by 145
Towards Fault Tolerant Adiabatic Quantum Computation
Lidar, D. A. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.160506 · Cited by 131
Size Dependence of the Minimum Excitation Gap in the Quantum Adiabatic Algorithm
Young, A. P., Knysh, S., & Smelyanskiy, V. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.170503 · Cited by 125
Sufficiency Criterion for the Validity of the Adiabatic Approximation
Tong, D. M., Singh, K., Kwek, L. C., & Oh, C. H. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.150402 · Cited by 122
Perdomo, A., Truncik, C., Tubert-Brohman, I., Rose, G., & Aspuru-Guzik, A. (2008) · Physical Review A · doi:10.1103/physreva.78.012320 · Cited by 120
Self-citationQuantum algorithm for obtaining the energy spectrum of molecular systems
Wang, H., Kais, S., Aspuru-Guzik, A., & Hoffmann, M. R. (2008) · Physical Chemistry Chemical Physics · doi:10.1039/b804804e · Cited by 109
Self-citationEfficient algorithm for a quantum analogue of 2-SAT
Bravyi, S. (2011) · Contemporary Mathematics · doi:10.1090/conm/536/10552 · Cited by 98
Adiabatic quantum computing for random satisfiability problems
Hogg, T. (2003) · Physical Review A · doi:10.1103/physreva.67.022314 · Cited by 93
Quantum adiabatic algorithms, small gaps, and different paths
Farhi, E., Goldstone, J., Gosset, D., Gutmann, S., Meyer, H. B., & Shor, P. W. (2011) · Quantum Information and Computation · doi:10.26421/qic11.3-4-1 · Cited by 88
Universality of entanglement and quantum-computation complexity
Orús, R., & Latorre, J. I. (2004) · Physical Review A · doi:10.1103/physreva.69.052308 · Cited by 83
HOW TO MAKE THE QUANTUM ADIABATIC ALGORITHM FAIL
FARHI, E., GOLDSTONE, J., GUTMANN, S., & NAGAJ, D. (2008) · International Journal of Quantum Information · doi:10.1142/s021974990800358x · Cited by 81
Adiabatic quantum algorithms as quantum phase transitions: First versus second order
Schützhold, R., & Schaller, G. (2006) · Physical Review A · doi:10.1103/physreva.74.060304 · Cited by 79
Adiabatic Quantum State Generation
Aharonov, D., & Ta‐Shma, A. (2007) · SIAM Journal on Computing · doi:10.1137/060648829 · Cited by 78
Hogg, T. (2000) · Physical Review A · doi:10.1103/physreva.61.052311 · Cited by 76
Quantum algorithm for obtaining the energy spectrum of molecular systems
Wang, H., Kais, S., Aspuru‐Guzik, A., & Hoffmann, M. R. (2008) · Digital Access to Scholarship at Harvard (DASH) (Harvard University) · Cited by 75
Self-citationExperimental Study of the Validity of Quantitative Conditions in the Quantum Adiabatic Theorem
Du, J., Hu, L.-Z., Wang, Y., Wu, J., Zhao, M., & Suter, D. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.060403 · Cited by 73
Kautz, H., & Selman, B. (2007) · Discrete Applied Mathematics · doi:10.1016/j.dam.2006.10.004 · Cited by 69
An Elementary Proof of the Quantum Adiabatic TheoremPreprint
Ambainis, A., & Regev, O. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0411152 · Cited by 65
Quantum Adiabatic Evolution Algorithms with Different PathsPreprint
Farhi, E., Goldstone, J., & Gutmann, S. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0208135 · Cited by 65
Adiabatic quantum computation and quantum phase transitions
Latorre, J. I., & Orús, R. (2004) · Physical Review A · doi:10.1103/physreva.69.062302 · Cited by 62
Exponential complexity of an adiabatic algorithm for an NP-complete problem
Žnidarič, M., & Horvat, M. (2006) · Physical Review A · doi:10.1103/physreva.73.022329 · Cited by 61
Highly Structured Searches with Quantum Computers
Hogg, T. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2473 · Cited by 58
Preparation of many-body states for quantum simulation
Ward, N. J., Kassal, I., & Aspuru-Guzik, A. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3115177 · Cited by 54
Self-citationEfficient quantum algorithm for preparing molecular-system-like states on a quantum computer
Wang, H., Ashhab, S., & Nori, F. (2009) · Physical Review A · doi:10.1103/physreva.79.042335 · Cited by 48
Validity of the adiabatic approximation in quantum mechanics
MacKenzie, R., Morin-Duchesne, A., Paquette, H., & Pinel, J. (2007) · Physical Review A · doi:10.1103/physreva.76.044102 · Cited by 39
Preparation of Many-Body States for Quantum Simulation
Ward, N. J., Kassal, I., & Aspuru‐Guzik, A. (2009) · Digital Access to Scholarship at Harvard (DASH) (Harvard University) · Cited by 39
Self-citationScaling of the running time of the quantum adiabatic algorithm for propositional satisfiability
Žnidarič, M. (2005) · Physical Review A · doi:10.1103/physreva.71.062305 · Cited by 38
Effect of Local Minima on Adiabatic Quantum Optimization
Amin, M. H. S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.130503 · Cited by 38
Quantum adiabatic algorithms, small gaps, and different pathsPreprint
Farhi, E., Goldston, J., Gosset, D., Gutmann, S., Meyer, H. B., & Shor, P. W. (2011) · DSpace@MIT (Massachusetts Institute of Technology) · doi:10.5555/2011395.2011396 · Cited by 37
Quantum adiabatic computation and adiabatic conditions
Wei, Z., & Ying, M. (2007) · Physical Review A · doi:10.1103/physreva.76.024304 · Cited by 31
Kohen, D., & Tannor, D. J. (1993) · The Journal of Chemical Physics · doi:10.1063/1.464089 · Cited by 28
Reexamination of the quantum adiabatic theorem
Zhao, Y. (2008) · Physical Review A · doi:10.1103/physreva.77.032109 · Cited by 23
Unstructured Adiabatic Quantum Search
Andrecut, M., & Ali, M. (2004) · International Journal of Theoretical Physics · doi:10.1023/b:ijtp.0000048589.20608.aa · Cited by 12
Adiabatic rotation, quantum search, and preparation of superposition states
Siu, M. S. (2007) · Physical Review A · doi:10.1103/physreva.75.062337 · Cited by 10
Adiabatic Approximation ConditionPreprint
Wu, J., Zhao, M., Chen, J.-L., & Zhang, Y.-D. (2007) · arXiv (Cornell University) · doi:10.48550/arxiv.0706.0264 · Cited by 8
Acharyya, S. (2007) · Journal on Satisfiability Boolean Modeling and Computation · doi:10.3233/sat190037 · Cited by 4
Invariant Perturbation Theory of Adiabatic ProcessPreprint
Chen, J., Zhao, M., Wu, J., & Zhang, Y.-D. (2007) · arXiv (Cornell University) · doi:10.48550/arxiv.0706.0299 · Cited by 2
Žnidarič, M. (2005) · Physical Review A · Cited by 1
Research works printed but not linked: 1
- Farhi, E., Goldstone, J., Gutmann, S.: Quantum adiabatic evolution algorithms with different paths, quant-ph/0208135 (2002) · arXiv
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Self-citation
Metadata
- Authors
- Perdomo-Ortiz, A., Venegas-Andraca, S. E., & Aspuru-Guzik, A.
- Affiliations
- Tecnológico de Monterrey (MX)
- Venue
- Quantum Information Processing
- Published
- 2010-03-14
- Volume
- 10
- Issue
- 1
- Pages
- 33-52
- ISSN
- 1570-0755 (ISSN-L)
- 1573-1332
- OpenAlex
- W2078536001
- Cited by
- 111
- References
- 64
- Citations by year
- 2026: 5 · 2025: 12 · 2024: 8 · 2023: 11 · 2022: 10 · 2021: 16 · 2020: 10 · 2019: 15 · 2018: 4 · 2017: 3 · 2016: 2 · 2015: 6 · 2014: 4 · 2013: 1
- FWCI
- 1.69
- Type
- journal article
- Language
- en
- Open access
- green
- nrs.harvard.edu
- Licence
- Locations
- Quantum Information Processing (publishedVersion)
- Digital Access to Scholarship at Harvard (DASH) (Harvard University) (submittedVersion, cc-by)
- Greater South Information System
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- adiabatic quantum computation, 3-SAT, satisfiability, Hamming distance
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