The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation
Abstract
The model of adiabatic quantum computation has recently attracted attention in the physics and computer science communities, but its exact computational power has been unknown. We settle this question and describe an efficient adiabatic simulation of any given quantum algorithm. This implies that the adiabatic computation model and the standard quantum circuit model are polynomially equivalent. We also describe an extension of this result with implications to physical implementations of adiabatic computation. We believe that our result highlights the potential importance of the adiabatic computation model in the design of quantum algorithms and in their experimental realization.
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Citations
Cites
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Shor, P. W. (1997) · SIAM Journal on Computing · doi:10.1137/s0097539795293172 · Cited by 8,472
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
Quantum annealing in the transverse Ising model
Kadowaki, T., & Nishimori, H. (1998) · Physical Review E · doi:10.1103/physreve.58.5355 · Cited by 2,339
Feynman, R. P. (1986) · Foundations of Physics · doi:10.1007/bf01886518 · Cited by 1,770
Exponential algorithmic speedup by a quantum walk
Childs, A. M., Cleve, R., Deotto, E., Farhi, E., Gutmann, S., & Spielman, D. A. (2003) · Proceedings of the thirty-fifth annual ACM symposium on Theory of computing · doi:10.1145/780542.780552 · Cited by 825
Quantum search by local adiabatic evolution
Roland, J., & Cerf, N. J. (2002) · Physical Review A · doi:10.1103/physreva.65.042308 · Cited by 629
Experimental realization of a quantum algorithm
Chuang, I. L., Vandersypen, L. M. K., Zhou, X., Leung, D. W., & Lloyd, S. (1998) · Nature · doi:10.1038/30181 · Cited by 604
Self-citationQuantum Computation by Adiabatic Evolution
Farhi, E., Goldstone, J., Gutmann, S., & Sipser, M. (2000) · arXiv · doi:10.48550/arxiv.quant-ph/0001106 · Cited by 536
Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing
Cory, D. G., Price, M. D., & Havel, T. F. (1998) · Physica D: Nonlinear Phenomena · doi:10.1016/s0167-2789(98)00046-3 · Cited by 419
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
Self-citation
Cited by
Microwave photonics with superconducting quantum circuits
Gu, X., Kockum, A. F., Miranowicz, A., Liu, Y.-X., & Nori, F. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.10.002 · Cited by 1,307
Universal Computation by Quantum Walk
Childs, A. M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.180501 · Cited by 1,002
Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation
Aharonov, D., van Dam, W., Kempe, J., Landau, Z., Lloyd, S., & Regev, O. (2007) · SIAM Journal on Computing · doi:10.1137/s0097539705447323 · Cited by 457
Self-citationMinor-embedding in adiabatic quantum computation: I. The parameter setting problem
Choi, V. (2008) · Quantum Information Processing · doi:10.1007/s11128-008-0082-9 · Cited by 410
Optimization using quantum mechanics: quantum annealing through adiabatic evolution
Santoro, G. E., & Tosatti, E. (2006) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/39/36/r01 · Cited by 354
Metadata
- Authors
- Aharonov, D., van Dam, W., Kempe, J., Landau, Z., Lloyd, S., & Regev, O.
- Venue
- 45th Annual IEEE Symposium on Foundations of Computer Science
- Publisher
- IEEE
- Published
- 2004-12-23
- Pages
- 42-51
- ISSN
- 0272-5428 (ISSN-L)
- OpenAlex
- W2155664940
- Cited by
- 159
- References
- 12
- FWCI
- 8.67
- Type
- conference paper
- Language
- en
- Open access
- closed
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- The paper
- Aharonov, D., van Dam, W., Kempe, J., Landau, Z., Lloyd, S., & Regev, O. (2004). Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation. 45th Annual IEEE Symposium on Foundations of Computer Science. https://doi.org/10.1109/focs.2004.8
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
