Quantum gates with controlled adiabatic evolutions
Open accessAbstract
We introduce a class of quantum adiabatic evolutions that we claim may be interpreted as the equivalents of the unitary gates of the quantum gate model. We argue that these gates form a universal set and may therefore be used as building blocks in the construction of arbitrary ``adiabatic circuits,'' analogously to the manner in which gates are used in the circuit model. One implication of the above construction is that arbitrary classical boolean circuits as well as gate model circuits may be directly translated to adiabatic algorithms with no additional resources or complexities. We show that while these adiabatic algorithms fail to exhibit certain aspects of the inherent fault tolerance of traditional quantum adiabatic algorithms, they may have certain other experimental advantages acting as quantum gates.
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It is possible to implement universal sets of quantum gates through controlled adiabatic evolutions (CAE).
“In particular, it is possible to implement universal sets of quantum gates through controlled adiabatic evolutions (CAE)24.”
From Superadiabatic Controlled Evolutions and Universal Quantum Computation (2015) · cites this paper as [24]
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Cites
Messiah, A. (1961) · Cited by 16,012 · see citing works
Algorithms for quantum computation: discrete logarithms and factoring
Shor, P. W. (2002) · Proceedings 35th Annual Symposium on Foundations of Computer Science · doi:10.1109/sfcs.1994.365700 · Cited by 8,713 · see citing works
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 · see citing works
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 · see citing works
Quantum annealing with manufactured spins
Johnson, M. W., Amin, M. H. S., Gildert, S., Lanting, T., Hamze, F., Dickson, N., Harris, R., Berkley, A. J., Johansson, J., Bunyk, P., et al. (2011) · Nature · doi:10.1038/nature10012 · Cited by 1,891 · see citing works
Decoherence, the measurement problem, and interpretations of quantum mechanics
Schlosshauer, M. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.76.1267 · Cited by 1,443 · see citing works
On the Adiabatic Theorem of Quantum Mechanics
Kato, T. (1950) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.5.435 · Cited by 1,068 · see citing works
Zanardi, P., & Rasetti, M. (1999) · Physics Letters A · doi:10.1016/s0375-9601(99)00803-8 · Cited by 1,006 · see citing works
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 · see citing works
Quantum search by local adiabatic evolution
Roland, J., & Cerf, N. J. (2002) · Physical Review A · doi:10.1103/physreva.65.042308 · Cited by 629 · see citing works
Robustness 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 · see citing works
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 · see citing works
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 · see citing works
Fast adiabatic qubit gates using only σ z control
Martinis, J. M., & Geller, M. R. (2014) · Physical Review A · doi:10.1103/physreva.90.022307 · Cited by 196 · see citing works
Experimental evaluation of an adiabiatic quantum system for combinatorial optimization
McGeoch, C. C., & Wang, C. (2013) · ACM International Conference on Computing Frontiers (CF) · doi:10.1145/2482767.2482797 · Cited by 163 · see citing works
Bulletin of the American Physical Society
Lewis, N. H. C., Dong, H., Oliver, T., & Fleming, G. R. (2015) · Cited by 104 · see citing works
Decoherence in adiabatic quantum computation
Amin, M. H. S., Averin, D. V., & Nesteroff, J. A. (2009) · Physical Review A · doi:10.1103/physreva.79.022107 · Cited by 88 · see citing works
Djordjević, I. B. (2012) · Elsevier eBooks · doi:10.1016/b978-0-12-385491-9.00007-1 · Cited by 84 · see citing works
Fault-Tolerant Holonomic Quantum Computation
Oreshkov, O., Brun, T. A., & Lidar, D. A. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.070502 · Cited by 70 · see citing works
Bacon, D., & Flammia, S. T. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.120504 · Cited by 59 · see citing works
Extending the quantal adiabatic theorem: Geometry of noncyclic motion
de Polavieja, G. G., & Sjöqvist, E. (1998) · American Journal of Physics · doi:10.1119/1.18799 · Cited by 49 · see citing works
Tunneling spectroscopy using a probe qubit
Berkley, A. J., Przybysz, A. J., Lanting, T. M., Harris, R., Dickson, N. G., Altomare, F., Amin, M. H. S., Bunyk, P., Enderud, C., Hoskinson, E., et al. (2013) · Physical Review B · doi:10.1103/physrevb.87.020502 · Cited by 35 · see citing works
Adiabatic cluster-state quantum computing
Bacon, D., & Flammia, S. T. (2010) · Physical Review A · doi:10.1103/physreva.82.030303 · Cited by 26 · see citing works
Period finding with adiabatic quantum computation
Hen, I. (2014) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/105/50005 · Cited by 26 · see citing works
Self-citationOn the power of coherently controlled quantum adiabatic evolutions
Kieferová, M., & Wiebe, N. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/12/123034 · Cited by 20 · see citing works
Continuous-time quantum algorithms for unstructured problems
Hen, I. (2014) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/47/4/045305 · Cited by 16 · see citing works
Self-citationHow fast can quantum annealers count?
Hen, I. (2014) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/47/23/235304 · Cited by 11 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 4
- [13]I. Hen, Europhysics Letters 105 , 50005 (2014), arXiv:1307.6538. · arXiv
- [16]G. Garci´ a de Polavieja and E. Sj¨ oqvist, American Journal of Physics 66 , 431 (1998), URL http://scitation.aip.org/content/aapt/journal/ajp/66/5/10.
- [20]M. H. S. Amin, D. V. Averin, and J. A. Nesteroff, Phys. Rev. A 79 , 022107 (2009), (arXiv:0708.0384). · arXiv
- [22]A. C. M. Carollo and V. Vedral (2005), arXiv:quantph/0504205.
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- Authors
- Hen, I.
- Affiliations
- University of Southern California (US)
- Corresponding author
- Hen, Itay
- ORCID
- Hen, Itay
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2015-02-12
- Volume
- 91
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2087352015
- Cited by
- 37
- References
- 27
- Citations by year
- 2026: 1 · 2025: 1 · 2023: 2 · 2021: 2 · 2020: 3 · 2019: 5 · 2018: 8 · 2017: 6 · 2016: 8 · 2015: 1
- FWCI
- 7.52
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Army Research Office (W911NF-12-1-0523)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- quantum adiabatic evolution, quantum gates, adiabatic circuits, universal gate set, adiabatic quantum computation, fault tolerance
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