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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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Aguado, M. (2011) · Annals of Physics · doi:10.1016/j.aop.2011.07.007 · Cited by 7
Entanglement in many-body quantum systems
Cirac, J. I. (2012) · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · doi:10.48550/arxiv.1205.3742 · Cited by 15
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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