The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Quantum circuits for strongly correlated quantum systems
Open accessAbstract
We present an approach to gain detailed control on the quantum simulation of strongly correlated quantum many-body systems by constructing the explicit finite quantum circuits that diagonalize their dynamics. As a particularly simple instance, the full dynamics of a one-dimensional Quantum Ising model in a transverse field with four spins is shown to be reproduced using a quantum circuit of only six local gates. This opens up the possibility of experimentally producing strongly correlated states, their time evolution at zero time, and even thermal superpositions at zero temperature. Our method also allows one to uncover the exact circuits corresponding to models that exhibit topological order and to stabilizer states.
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“As a specific example of an application benchmark, quantum circuits that diagonalize spin Hamiltonians have been proposed in recent years (Cervera-Lierta, 2018; Schmoll and Orús, 2017; Verstraete et al. , 2009).”
From Noisy intermediate-scale quantum algorithms (2022) · cites this paper as Verstraete et al., 2009
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Citations
Cites
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Feynman, R. P. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02650179 · Cited by 7,691
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Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/415039a · Cited by 5,935
Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
The renormalization group: Critical phenomena and the Kondo problem
Wilson, K. G. (1975) · Reviews of Modern Physics · doi:10.1103/revmodphys.47.773 · Cited by 4,582
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Cold Bosonic Atoms in Optical Lattices
Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W., & Zoller, P. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3108 · Cited by 3,685
Self-citation�ber das Paulische �quivalenzverbot
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String-net condensation: A physical mechanism for topological phases
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Georgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932
“Some of the representative studies on DQS are (Abrams and Lloyd, 1997; Lidar and Biham, 1997; Lloyd, 1996; Marzuoli and Rasetti, 2002; Ortiz et al., 2001; Raeisi et al., 2012; Somma et al., 2002; Terhal and DiVincenzo, 2000; Verstraete et al., 2009; Wiesner, 1996; Zalka, 1998a,b).”
BackgroundNoisy intermediate-scale quantum algorithms
Bharti, K., Cervera-Lierta, A., Kyaw, T. H., Haug, T., Alperin-Lea, S., Anand, A., Degroote, M., Heimonen, H., Kottmann, J. S., Menke, T., et al. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.015004 · Cited by 2,231
The Variational Quantum Eigensolver: A review of methods and best practices
Tilly, J., Chen, H., Cao, S., Picozzi, D., Setia, K., Li, Y., Grant, E., Wossnig, L., Rungger, I., Booth, G. H., et al. (2022) · Physics Reports · doi:10.1016/j.physrep.2022.08.003 · Cited by 1,031
From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz
Hadfield, S., Wang, Z., O’Gorman, B., Rieffel, E. G., Venturelli, D., & Biswas, R. (2019) · Algorithms · doi:10.3390/a12020034 · Cited by 772
Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
Kivlichan, I. D., McClean, J., Wiebe, N., Gidney, C., Aspuru-Guzik, A., Chan, G. K.-L., & Babbush, R. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.110501 · Cited by 431
Metadata
- Authors
- Verstraete, F., Cirac, J. I., & Latorre, J. I.
- Affiliations
- University of Vienna (AT)
- Max Planck Society (DE)
- Universitat de Barcelona (ES)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2009-03-16
- Volume
- 79
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2008394317
- Cited by
- 158
- References
- 16
- Citations by year
- 2026: 10 · 2025: 17 · 2024: 14 · 2023: 18 · 2022: 15 · 2021: 15 · 2020: 13 · 2019: 10 · 2018: 7 · 2017: 6 · 2016: 1 · 2015: 3 · 2014: 6 · 2012: 1
- FWCI
- 7.22
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Ghent University Academic Bibliography (Ghent University) (submittedVersion, other-oa)
- Max Planck Institute for Plasma Physics (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Keywords
- quantum circuits, strongly correlated systems, quantum simulation, quantum many-body systems, quantum Ising model, transverse field, local gates, topological order, stabilizer states
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