A quantum annealing architecture with all-to-all connectivity from local interactions
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An architecture for adiabatic quantum computing devices, which is programmed by local fields and features all-to-all connectivity.
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A general proposal for quantum annealing with neutral atom processors utilises the LHZ-scheme, in which the qubits represent the edges of a problem graph, allowing to realise an effective all-to-all connectivity with local Rydberg interactions.
“A general proposal for quantum annealing with neutral atom processors utilises the socalled LHZ-scheme [101,102], in which the qubits represent the edges of a problem graph, allowing to realise an effective all-to-all connectivity with local Rydberg interactions.”
From Neutral atom quantum computing hardware: performance and end-user perspective (2023) · cites this paper as [101]
Split into 2 atoms — 0 confirmed, 2 partially supported, 0 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measuredThe LHZ framework can be applied to quantum annealing systems.
“The same framework can be applied to quantum annealing systems as well (Lechner et al. , 2015).”
From Noisy intermediate-scale quantum algorithms (2022) · cites this paper as Lechner et al., 2015
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“However, it may scale similar to or better than a realistic implementation of such a fully connected graph, which is realized by embedding ( 16 , 17 ) in a large number of highly connected subgraphs.”
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Conditional π -Phase Shift of Single-Photon-Level Pulses at Room Temperature
Sagona-Stophel, S., Shahrokhshahi, R., Jordaan, B., Namazi, M., & Figueroa, E. V. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.243601 · Cited by 29 · see citing works
Understanding domain-wall encoding theoretically and experimentally
Berwald, J., Chancellor, N., & Dridi, R. (2022) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2021.0410 · Cited by 28 · see citing works
Quantum Enhanced Inference in Markov Logic Networks
Wittek, P., & Gogolin, C. (2017) · Scientific Reports · doi:10.1038/srep45672 · Cited by 27 · see citing works
Simulated-quantum-annealing comparison between all-to-all connectivity schemes
Albash, T., Vinci, W., & Lidar, D. A. (2016) · Physical Review A · doi:10.1103/physreva.94.022327 · Cited by 27 · see citing works
Open-System Quantum Annealing in Mean-Field Models with Exponential Degeneracy
Kechedzhi, K., & Smelyanskiy, V. (2016) · Physical Review X · doi:10.1103/physrevx.6.021028 · Cited by 28 · see citing works
Variational optimization of the quantum annealing schedule for the Lechner-Hauke-Zoller scheme
Susa, Y., & Nishimori, H. (2021) · Physical Review A · doi:10.1103/physreva.103.022619 · Cited by 28 · see citing works
Universal Parity Quantum Computing
Fellner, M., Messinger, A., Ender, K., & Lechner, W. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.180503 · Cited by 27 · see citing works
Self-citationToward Prediction of Financial Crashes with a D-Wave Quantum Annealer
Ding, Y., Gonzalez-Conde, J., Lamata, L., Martín‐Guerrero, J. D., Lizaso, E., Mugel, S., Chen, X., Orús, R., Solano, E., & Sanz, M. (2023) · Entropy · doi:10.3390/e25020323 · Cited by 29 · see citing works
Tunable quantum simulation of spin models with a two-dimensional ion crystal
Qiao, M., Cai, Z., Wang, Y., Du, B., Jin, N., Chen, W., Wang, P., Luan, C., Gao, E., Sun, X., et al. (2024) · Nature Physics · doi:10.1038/s41567-023-02378-9 · Cited by 26 · see citing works
Vinci, W., & Lidar, D. A. (2018) · Physical Review A · doi:10.1103/physreva.97.022308 · Cited by 27 · see citing works
Programmable superpositions of Ising configurations
Sieberer, L. M., & Lechner, W. (2018) · Physical Review A · doi:10.1103/physreva.97.052329 · Cited by 22 · see citing works
Self-citationA Hybrid Quantum-Classical Paradigm to Mitigate Embedding Costs in Quantum AnnealingPreprint
Abbott, A. A., Calude, C. S., Dinneen, M. J., & Hua, R. (2018) · ResearchSpace (University of Auckland) · doi:10.48550/arxiv.1803.04340 · Cited by 22 · see citing works
Variationally scheduled quantum simulation
Matsuura, S., Buck, S., Senicourt, V., & Zaribafiyan, A. (2021) · Physical Review A · doi:10.1103/physreva.103.052435 · Cited by 23 · see citing works
Quantum optics and frontiers of physics: the third quantum revolution
Celi, A., Sanpera, A., Ahufinger, V., & Lewenstein, M. (2016) · Physica Scripta · doi:10.1088/1402-4896/92/1/013003 · Cited by 23 · see citing works
Native three-body interaction in superconducting circuits
Pedersen, S. P., Christensen, K. S., & Zinner, N. T. (2019) · Physical Review Research · doi:10.1103/physrevresearch.1.033123 · Cited by 23 · see citing works
Blueprint for All-to-All-Connected Superconducting Spin Qubits
Pita‐Vidal, M., Wesdorp, J. J., & Andersen, C. K. (2025) · PRX Quantum · doi:10.1103/prxquantum.6.010308 · Cited by 22 · see citing works
How to Reduce the Bit-Width of an Ising Model by Adding Auxiliary Spins
Oku, D., Tawada, M., Tanaka, S., & Togawa, N. (2020) · IEEE Transactions on Computers · doi:10.1109/tc.2020.3045112 · Cited by 24 · see citing works
A Cost and Power Feasibility Analysis of Quantum Annealing for NextG Cellular Wireless Networks
Kasi, S., Warburton, P., Kaewell, J., & Jamieson, K. (2023) · IEEE Transactions on Quantum Engineering · doi:10.1109/tqe.2023.3326469 · Cited by 20 · see citing works
Benchmarking embedded chain breaking in quantum annealing *
Grant, E., & Humble, T. S. (2021) · Quantum Science and Technology · doi:10.1088/2058-9565/ac26d2 · Cited by 22 · see citing works
Correlated Oscillations in Kerr Parametric Oscillators with Tunable Effective Coupling
Yamaji, T., Masuda, S., Yamaguchi, A., Satoh, T., Morioka, A., Igarashi, Y., Shirane, M., & Yamamoto, T. (2023) · Physical Review Applied · doi:10.1103/physrevapplied.20.014057 · Cited by 22 · see citing works
- Authors
- Lechner, W., Hauke, P., & Zoller, P.
- Affiliations
- Austrian Academy of Sciences (AT)
- Corresponding author
- Lechner, Wolfgang
- Venue
- Science Advances
- Published
- 2015-10-02
- Volume
- 1
- Issue
- 9
- Pages
- e1500838-e1500838
- ISSN
- 2375-2548 (ISSN-L)
- PMC
- PMC4646830
- OpenAlex
- W2274114116
- Cited by
- 256
- References
- 19
- Citations by year
- 2026: 15 · 2025: 35 · 2024: 29 · 2023: 32 · 2022: 22 · 2021: 28 · 2020: 28 · 2019: 23 · 2018: 10 · 2017: 19 · 2016: 15
- FWCI
- 14.38
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by
- Locations
- Science Advances (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Iris (University of Trento) (submittedVersion, cc-by)
- Funders
- Austrian Science Fund (ID0EXEBG2808, P25454)
- European Research Council (ID0ETJBG2809, UQUAM)
- 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 annealing, all-to-all connectivity, local interactions, Ising model, NP-complete optimization, fault tolerance, redundant encoding, topological quantum memory, lattice gauge theory, long-range interactions, scalable quantum hardware, superconducting qubits, nitrogen-vacancy centers, quantum dots, atomic systems
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