Coherent quantum annealing in a programmable 2,000 qubit Ising chain
Open accessThe claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
For 1D systems, the measured scaling exponent is consistent with the expected KZ defect scaling n ∝ t -1/μ a with z = 1 and ν = 1.
“As in previous works 24,26 , the measured scaling exponent is consistent with the expected KZ defect scaling n ∝ t -1/µ a with z = 1 and ν = 1.”
From Beyond-classical computation in quantum simulation (2025) · cites this paper as [24]
The main text (p. 2) says the measured kink density agrees with coherent quantum theory in the fast-anneal regime and identifies its scaling exponent as −1/2, consistent with the claimed 1D Kibble–Zurek scaling. Our copy does not explicitly give the critical exponents z = 1 and ν = 1, and it reports anti-Kibble–Zurek behavior in a weak-coupling regime rather than agreement across all conditions. (LLM, conf=0.82)
Experimental — accuracy not yet measuredAll of the discussed Monte Carlo dynamics fail in one way or another to qualitatively reproduce quantum dynamics even in a pure one-dimensional system.
“In particular, all of these dynamics fail in one way or another to qualitatively reproduce quantum dynamics even in a pure one-dimensional system 24 (see SM for Ref. 24, Figs.S4 and S5).”
From Beyond-classical computation in quantum simulation (2025) · cites this paper as [24]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Non-adiabatic crossing of energy levels
Zener, C. (1932) · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1932.0165 · Cited by 4,572 · see citing works
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
Kandala, A., Mezzacapo, A., Temme, K., Takita, M., Brink, M., Chow, J. M., & Gambetta, J. M. (2017) · Nature · doi:10.1038/nature23879 · Cited by 2,982 · see citing works
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 · see citing works
Self-citationCosmological experiments in superfluid helium?
Zurek, W. H. (1985) · Nature · doi:10.1038/317505a0 · Cited by 1,894 · 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
Self-citationAlbash, T., & Lidar, D. A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015002 · Cited by 1,546 · see citing works
Self-citationMany-body physics with individually controlled Rydberg atoms
Browaeys, A., & Lahaye, T. (2020) · Nature Physics · doi:10.1038/s41567-019-0733-z · Cited by 1,248 · see citing works
Suzuki, M. (1976) · Progress of Theoretical Physics · doi:10.1143/ptp.56.1454 · Cited by 1,129 · see citing works
Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
Zhang, J., Pagano, G., Hess, P. W., Kyprianidis, A., Becker, P., Kaplan, H., Gorshkov, A. V., Gong, Z.-X., & Monroe, C. (2017) · Nature · doi:10.1038/nature24654 · Cited by 1,079 · 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 1,043 · see citing works
Dynamics of a Quantum Phase Transition
Zurek, W. H., Dorner, U., & Zoller, P. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.105701 · Cited by 812 · see citing works
Dynamics of a quantum phase transition and relaxation to a steady state
Dziarmaga, J. (2010) · Advances In Physics · doi:10.1080/00018732.2010.514702 · Cited by 712 · see citing works
Dynamics of a Quantum Phase Transition: Exact Solution of the Quantum Ising Model
Dziarmaga, J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.245701 · Cited by 673 · see citing works
Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
Keesling, A., Omran, A., Levine, H., Bernien, H., Pichler, H., Choi, S., Samajdar, R., Schwartz, S., Silvi, P., Sachdev, S., et al. (2019) · Nature · doi:10.1038/s41586-019-1070-1 · Cited by 534 · see citing works
Universal adiabatic dynamics in the vicinity of a quantum critical point
Polkovnikov, A. (2005) · Physical Review B · doi:10.1103/physrevb.72.161201 · Cited by 503 · see citing works
Entropy Scaling and Simulability by Matrix Product States
Schuch, N., Wolf, M. M., Verstraete, F., & Cirac, J. I. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.030504 · Cited by 407 · see citing works
Quantum Phase Transitions in Transverse Field Spin Models
Dutta, A., Aeppli, G., Chakrabarti, B. K., Divakaran, U., Rosenbaum, T. F., & Sen, D. (2015) · Cambridge University Press eBooks · doi:10.1017/cbo9781107706057 · Cited by 338 · see citing works
Observation of topological phenomena in a programmable lattice of 1,800 qubits
King, A. D., Carrasquilla, J., Raymond, J., Ozfidan, I., Andriyash, E., Berkley, A. J., Reis, M., Lanting, T. M., Harris, R., Altomare, F., et al. (2018) · Nature · doi:10.1038/s41586-018-0410-x · Cited by 317 · see citing works
Self-citationPhase transitions in a programmable quantum spin glass simulator
Harris, R., Sato, Y., Berkley, A. J., Reis, M., Altomare, F., Amin, M. H. S., Boothby, K., Bunyk, P., Deng, C., Enderud, C., et al. (2018) · Science · doi:10.1126/science.aat2025 · Cited by 250 · see citing works
Self-citationEntropy and correlation functions of a driven quantum spin chain
Cherng, R. W., & Levitov, L. S. (2006) · Physical Review A · doi:10.1103/physreva.73.043614 · Cited by 179 · see citing works
Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
Clark, L. W., Feng, L., & Chin, C. (2016) · Science · doi:10.1126/science.aaf9657 · Cited by 162 · see citing works
Quantum Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate
Anquez, M., Robbins, B., Madhusudhana, B. H., Boguslawski, M., Hoang, T. M., & Chapman, M. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.155301 · Cited by 160 · see citing works
King, A. D., Raymond, J., Lanting, T., Isakov, S. V., Mohseni, M., Poulin-Lamarre, G., Ejtemaee, S., Bernoudy, W., Ozfidan, I., Smirnov, A. Y., et al. (2021) · Nature Communications · doi:10.1038/s41467-021-20901-5 · Cited by 148 · see citing works
Self-citationBando, Y., Susa, Y., Oshiyama, H., Shibata, N., Ohzeki, M., Gómez-Ruiz, F. J., Lidar, D. A., Suzuki, S., del Campo, A., & Nishimori, H. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.033369 · Cited by 147 · see citing works
Self-citationKrebs, K., Pfannmüller, M. P., Wehefritz, B., & Haye Hinrichsen, B. (1995) · Journal of Statistical Physics · doi:10.1007/bf02180138 · Cited by 116 · see citing works
Understanding Quantum Tunneling through Quantum Monte Carlo Simulations
Isakov, S. V., Mazzola, G., Smelyanskiy, V., Zhang, J., Boixo, S., Neven, H., & Troyer, M. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.180402 · Cited by 102 · see citing works
Gardas, B., Dziarmaga, J., Zurek, W. H., & Zwolak, M. (2018) · Scientific Reports · doi:10.1038/s41598-018-22763-2 · Cited by 94 · see citing works
Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
del Campo, A. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.200601 · Cited by 92 · see citing works
Scaling and Diabatic Effects in Quantum Annealing with a D-Wave Device
Weinberg, P., Tylutki, M., Rönkkö, J., Westerholm, J., Åström, J. A., Manninen, P., Törmä, P., & Sandvik, A. W. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.090502 · Cited by 76 · see citing works
Experimentally testing quantum critical dynamics beyond the Kibble–Zurek mechanism
Cui, J.-M., Gómez-Ruiz, F. J., Huang, Y.-F., Li, C.-F., Guo, G.-C., & del Campo, A. (2020) · Communications Physics · doi:10.1038/s42005-020-0306-6 · Cited by 64 · see citing works
Liu, C., Polkovnikov, A., & Sandvik, A. W. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.147203 · Cited by 54 · see citing works
Quantum Monte Carlo tunneling from quantum chemistry to quantum annealing
Mazzola, G., Smelyanskiy, V., & Troyer, M. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.134305 · Cited by 34 · see citing works
Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
Roychowdhury, K., Moessner, R., & Das, A. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.014406 · Cited by 34 · see citing works
Simulated quantum annealing as a simulator of nonequilibrium quantum dynamics
Bando, Y., & Nishimori, H. (2021) · Physical Review A · doi:10.1103/physreva.104.022607 · Cited by 31 · see citing works
Self-citationMayo, J. J., Fan, Z., Chern, G.-W., & del Campo, A. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.033150 · Cited by 30 · see citing works
Optimal working point in dissipative quantum annealing
Arceci, L., Barbarino, S., Rossini, D., & Santoro, G. E. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.064307 · Cited by 27 · see citing works
Quantum annealing speedup over simulated annealing on random Ising chains
Zanca, T., & Santoro, G. E. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.224431 · Cited by 26 · see citing works
Quantum Kibble-Zurek mechanism: Kink correlations after a quench in the quantum Ising chain
Nowak, R. J., & Dziarmaga, J. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.075448 · Cited by 25 · see citing works
Nishimura, K., Nishimori, H., & Katzgraber, H. G. (2020) · Physical Review A · doi:10.1103/physreva.102.042403 · Cited by 24 · see citing works
Self-citationQuantum trajectories for time-dependent adiabatic master equations
Yip, K.-W., Albash, T., & Lidar, D. A. (2018) · Physical Review A · doi:10.1103/physreva.97.022116 · Cited by 22 · see citing works
Self-citationCincio, Ł., Dziarmaga, J., Meisner, J., & Rams, M. M. (2009) · Physical Review B · doi:10.1103/physrevb.79.094421 · Cited by 20 · see citing works
Kibble–Zurek Mechanism in a Dissipative Transverse Ising Chain
Oshiyama, H., Shibata, N., & Suzuki, S. (2020) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.89.104002 · Cited by 16 · see citing works
Self-citation
Flagged first, then by citations
1 of the 43 references couldn’t be matched to a known paper.
Cited by
Sorted by citations
Quantum critical dynamics in a 5,000-qubit programmable spin glass
King, A. D., Raymond, J., Lanting, T., Harris, R., Zucca, A., Altomare, F., Berkley, A. J., Boothby, K., Ejtemaee, S., Enderud, C., et al. (2023) · Nature · doi:10.1038/s41586-023-05867-2 · Cited by 242 · see citing works
Self-citationBeyond-classical computation in quantum simulation
King, A. D., Nocera, A., Rams, M. M., Dziarmaga, J., Wiersema, R., Bernoudy, W., Raymond, J., Kaushal, N., Heinsdorf, N., Harris, R., et al. (2025) · Science · doi:10.1126/science.ado6285 · Cited by 138 · see citing works
Self-citationNoisy intermediate-scale quantum computers
Cheng, B., Deng, X., Gu, X. Q., He, Y., Hu, G., Huang, P., Li, J., Lin, B., Lu, D., Lu, Y., et al. (2023) · Frontiers of Physics · doi:10.1007/s11467-022-1249-z · Cited by 131 · see citing works
Jiang, M., Shan, K., He, C., & Li, C. (2023) · Nature Communications · doi:10.1038/s41467-023-41647-2 · Cited by 61 · see citing works
Quantum coarsening and collective dynamics on a programmable simulator
Manovitz, T., Li, S. H., Ebadi, S., Samajdar, R., Geim, A. A., Evered, S. J., Bluvstein, D., Zhou, H., Köylüoğlu, N. U., Feldmeier, J., et al. (2025) · Nature · doi:10.1038/s41586-024-08353-5 · Cited by 61 · see citing works
Quantum Optimization: Potential, Challenges, and the Path Forward
Abbas, A., (NNSA), U. N. N. S. A., Ambainis, A., Augustino, B., Bärtschi, A., Buhrman, H., Coffrin, C., Cortiana, G., Dunjko, V., Egger, D., et al. (2023) · doi:10.2172/2229681 · Cited by 63 · see citing works
Illa, M., & A, M. J. S. (2022) · Physical Review A · doi:10.1103/physreva.106.052605 · Cited by 58 · see citing works
Universal Breakdown of Kibble-Zurek Scaling in Fast Quenches across a Phase Transition
Zeng, H.-B., Xia, C.-Y., & del Campo, A. (2023) · Physical Review Letters · doi:10.1103/physrevlett.130.060402 · Cited by 56 · see citing works
Shortcuts to Adiabaticity in Krylov Space
Takahashi, K., & del Campo, A. (2024) · Physical Review X · doi:10.1103/physrevx.14.011032 · Cited by 50 · see citing works
Challenges of variational quantum optimization with measurement shot noise
Scriva, G., Astrakhantsev, N., Pilati, S., & Mazzola, G. (2024) · Physical Review A · doi:10.1103/physreva.109.032408 · Cited by 51 · see citing works
Quantum Annealing vs. QAOA: 127 Qubit Higher-Order Ising Problems on NISQ Computers
Pelofske, E., Bärtschi, A., & Eidenbenz, S. (2023) · Lecture Notes in Computer Science · doi:10.1007/978-3-031-32041-5_13 · Cited by 47 · see citing works
Short-depth QAOA circuits and quantum annealing on higher-order ising models
Pelofske, E., Bärtschi, A., & Eidenbenz, S. (2024) · npj Quantum Information · doi:10.1038/s41534-024-00825-w · Cited by 49 · see citing works
On the emerging potential of quantum annealing hardware for combinatorial optimization
Tasseff, B., Albash, T., Morrell, Z., Vuffray, M., Lokhov, A. Y., Misra, S., & Coffrin, C. (2024) · Journal of Heuristics · doi:10.1007/s10732-024-09530-5 · Cited by 42 · see citing works
Quantum computing for chemistry and physics applications from a Monte Carlo perspective
Mazzola, G. (2024) · The Journal of Chemical Physics · doi:10.1063/5.0173591 · Cited by 41 · see citing works
Quantum-Informed Recursive Optimization Algorithms
Finžgar, J. R., Kerschbaumer, A., Schuetz, M. J. A., Mendl, C. B., & Katzgraber, H. G. (2024) · PRX Quantum · doi:10.1103/prxquantum.5.020327 · Cited by 40 · see citing works
A practitioner’s guide to quantum algorithms for optimisation problems
Symons, B. C. B., Galvin, D., Sahin, E., Alexandrov, V., & Mensa, S. (2023) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ad00f0 · Cited by 37 · see citing works
Scaling Advantage in Approximate Optimization with Quantum Annealing
Munoz-Bauza, H., & Lidar, D. A. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.160601 · Cited by 46 · see citing works
Self-citationCamino, B., Buckeridge, J., Warburton, P. A., Kendon, V. M., & Woodley, S. M. (2023) · Journal of Applied Physics · doi:10.1063/5.0151346 · Cited by 33 · see citing works
Large-Scale Simulation of Shor’s Quantum Factoring Algorithm
Willsch, D., Willsch, M., Jin, F., Raedt, H. A. D., & Michielsen, K. F. L. (2023) · Mathematics · doi:10.3390/math11194222 · Cited by 34 · see citing works
Designing quantum annealing schedules using Bayesian optimization
Finžgar, J. R., Schuetz, M. J. A., Brubaker, J. K., Nishimori, H., & Katzgraber, H. G. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.023063 · Cited by 32 · see citing works
Self-citationTopological Defect Formation in a Phase Transition with Tunable Order
Suzuki, F., & Zurek, W. H. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.241601 · Cited by 29 · see citing works
Benchmarking Digital Quantum Simulations Above Hundreds of Qubits Using Quantum Critical Dynamics
Miessen, A., Egger, D. J., Tavernelli, I., & Mazzola, G. (2024) · PRX Quantum · doi:10.1103/prxquantum.5.040320 · Cited by 29 · see citing works
Pelofske, E. (2025) · Quantum Science and Technology · doi:10.1088/2058-9565/adb029 · Cited by 31 · see citing works
Çalıkyılmaz, U., Groppe, S., Groppe, J., Winker, T., Prestel, S., Shagieva, F., Arya, D., Preis, F., & Gruenwald, L. (2023) · Proceedings of the VLDB Endowment · doi:10.14778/3598581.3598603 · Cited by 29 · see citing works
Efficient noise mitigation technique for quantum computing
Shaib, A., Naim, M. H., Fouda, M. E., Kanj, R. N., & Kurdahi, F. J. (2023) · Scientific Reports · doi:10.1038/s41598-023-30510-5 · Cited by 29 · see citing works
Dziarmaga, J., Rams, M. M., & Zurek, W. H. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.260407 · Cited by 23 · see citing works
Kou, H.-C., & Li, P. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.108.214307 · Cited by 21 · 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
del Campo, A., Gómez-Ruiz, F. J., & Zhang, H.-Q. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.l140101 · Cited by 20 · 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
Hyperscaling in the Coherent Hyperspin Machine
Strinati, M. C., & Conti, C. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.017301 · Cited by 19 · see citing works
Stirring the false vacuum via interacting quantized bubbles on a 5,564-qubit quantum annealer
Vodeb, J., Desaules, J.-Y., Hallam, A., Rava, A., Humar, G., Willsch, D., Jin, F., Willsch, M., Michielsen, K. F. L., & Papić, Z. (2025) · Nature Physics · doi:10.1038/s41567-024-02765-w · Cited by 18 · see citing works
A Quantum Annealer-Enabled Decoder and Hardware Topology for NextG Wireless Polar Codes
Kasi, S., Kaewell, J., & Jamieson, K. (2023) · IEEE Transactions on Wireless Communications · doi:10.1109/twc.2023.3311204 · Cited by 18 · see citing works
Baghran, R., Jafari, R., & Langari, A. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.064302 · Cited by 18 · see citing works
Three phases of quantum annealing: Fast, slow, and very slow
Soriani, A., Nazé, P., Bonança, M. V. S., Gardas, B., & Deffner, S. (2022) · Physical Review A · doi:10.1103/physreva.105.042423 · Cited by 17 · see citing works
Non-Gaussian work statistics at finite-time driving
Zawadzki, K., Kiely, A., Landi, G. T., & Campbell, S. (2023) · Physical Review A · doi:10.1103/physreva.107.012209 · Cited by 16 · see citing works
Efficient Algorithm for Binary Quadratic Problem by Column Generation and Quantum Annealing
Hirama, S., & Ohzeki, M. (2023) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.92.113002 · Cited by 16 · see citing works
Large Deviations beyond the Kibble-Zurek Mechanism
Balducci, F., Beau, M., Yang, J., Gambassi, A., & del Campo, A. (2023) · Physical Review Letters · doi:10.1103/physrevlett.131.230401 · Cited by 16 · see citing works
Dziarmaga, J., & Mazur, J. M. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.144510 · Cited by 15 · see citing works
Universal vortex statistics and stochastic geometry of Bose-Einstein condensation
Mithun, T., & del Campo, A. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.033152 · Cited by 15 · see citing works
ON-OFF neuromorphic ISING machines using Fowler-Nordheim annealers
Chen, Z., Xiao, Z., Akl, M., Leugering, J., Olajide, O., Malik, A., Dennler, N., Harper, C., Bose, S., Gonzalez, H. A., et al. (2025) · Nature Communications · doi:10.1038/s41467-025-58231-5 · Cited by 15 · see citing works
Breakdown of the Weak-Coupling Limit in Quantum Annealing
Bando, Y., Yip, K.-W., Chen, H., Lidar, D. A., & Nishimori, H. (2022) · Physical Review Applied · doi:10.1103/physrevapplied.17.054033 · Cited by 15 · see citing works
Self-citationState Preparation in the Heisenberg Model through Adiabatic Spiraling
Ciavarella, A. N., Caspar, S., Illa, M., & A, M. J. S. (2023) · Quantum · doi:10.22331/q-2023-04-06-970 · Cited by 13 · see citing works
Narasimhan, P., Humeniuk, S., Roy, A., & Drouin-Touchette, V. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.054432 · Cited by 14 · see citing works
Cummins, J., Salman, H., & Berloff, N. G. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.013150 · Cited by 15 · see citing works
Exploring Quantum Annealing Architectures: A Spin Glass Perspective
Jaumà, G., García‐Ripoll, J. J., & Pino, M. (2024) · Advanced Quantum Technologies · doi:10.1002/qute.202300245 · Cited by 12 · see citing works
Quadratic Unconstrained Binary Formulation for Traffic Signal Optimization on Real-World Maps
Shikanai, R., Ohzeki, M., & Tanaka, K. (2025) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.94.024001 · Cited by 24 · see citing works
Effectiveness of quantum annealing for continuous-variable optimization
Arai, S., Oshiyama, H., & Nishimori, H. (2023) · Physical Review A · doi:10.1103/physreva.108.042403 · Cited by 13 · see citing works
Self-citationTricritical Kibble-Zurek scaling in Rydberg atom ladders
Wang, H., Li, X., & Li, C. (2025) · Nature Communications · doi:10.1038/s41467-025-65652-9 · Cited by 12 · see citing works
D'Arcangelo, M., Henry, L.-P., Henriet, L., Loco, D., Gouraud, N., Angebault, S., Sueiro, J., Forêt, J., Monmarché, P., & Piquemal, J. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.043020 · Cited by 13 · see citing works
Observation of Near-Critical Kibble-Zurek Scaling in Rydberg Atom Arrays
Zhang, T., Wang, H., Zhang, W., Wang, Y., Du, A., Li, Z. C., Wu, Y., Li, C., Hu, J., Zhai, H., et al. (2025) · Physical Review Letters · doi:10.1103/2gwz-65w1 · Cited by 12 · see citing works
Initial State Encoding via Reverse Quantum Annealing and H-Gain Features
Pelofske, E., Hahn, G., & Djidjev, H. N. (2023) · IEEE Transactions on Quantum Engineering · doi:10.1109/tqe.2023.3319586 · Cited by 15 · see citing works
Tutorial: calibration refinement in quantum annealing
Chern, K., Boothby, K., Raymond, J., Farré, P., & King, A. D. (2023) · Frontiers in Computer Science · doi:10.3389/fcomp.2023.1238988 · Cited by 11 · see citing works
Self-citationStructural phase transition and its critical dynamics from holography
Xia, C.-Y., Zeng, H.-B., Chen, C.-M., & del Campo, A. (2023) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.108.026017 · Cited by 11 · see citing works
Cyclic quantum annealing: searching for deep low-energy states in 5000-qubit spin glass
Zhang, H., Boothby, K., & Kamenev, A. (2024) · Scientific Reports · doi:10.1038/s41598-024-80761-z · Cited by 11 · see citing works
Quantum quench dynamics of geometrically frustrated Ising models
Ali, A., Xu, H., Bernoudy, W., Nocera, A., King, A. D., & Banerjee, A. (2024) · Nature Communications · doi:10.1038/s41467-024-54701-4 · Cited by 12 · see citing works
Self-citationImplementing Arbitrary Ising Models with a Trapped-Ion Quantum Processor
Lu, Y., Chen, W., Zhang, S., Zhang, K., Zhang, J., Zhang, J.-N., & Kim, K. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.050602 · Cited by 11 · see citing works
Salloum, H., Zhanalin, S., Badr, A. A., & Kholodov, Y. (2025) · Scientific Reports · doi:10.1038/s41598-025-04568-2 · Cited by 13 · see citing works
Field-induced magnetic phases in a qubit Penrose quasicrystal
López‐Bezanilla, A., & Nisoli, C. (2023) · Science Advances · doi:10.1126/sciadv.adf6631 · Cited by 10 · see citing works
Kim, J. P., Kuk, S., Kim, H. W., Jeong, J., Park, J., Kim, B. H., Kim, J., Todri‐Sanial, A., & Kim, S. (2025) · Advanced Science · doi:10.1002/advs.202413247 · Cited by 10 · see citing works
Sadeghizade, S., Jafari, R., & Langari, A. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.104310 · Cited by 10 · see citing works
Machine Learning Supported Annealing for Prediction of Grand Canonical Crystal Structures
Couzinié, Y., Seki, Y., Nishiya, Y., Nishi, H., Kosugi, T., Tanaka, S., & Matsushita, Y. (2025) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.94.044802 · Cited by 10 · see citing works
Probing critical phenomena in open quantum systems using atom arrays
Fang, F., Wang, K., Liu, V. S., Wang, Y., Cimmino, R., Wei, J., Bintz, M., Parr, A., Kemp, J., Ni, K.-K., et al. (2025) · Science · doi:10.1126/science.adq0278 · Cited by 14 · see citing works
Position Papers for the ASCR Workshop on Basic Research Needs in Quantum Computing and Networking
Lougovski, P., Parekh, O., Broz, J., Byrd, M., Chembo, Y. K., de Jong, W. A., Figueroa, E. V., Humble, T. S., Larson, J. M., Quiroz, G., et al. (2023) · doi:10.2172/2283320 · Cited by 10 · see citing works
Kibble–Zurek scaling due to environment temperature quench in the transverse field Ising model
Bácsi, Á., & Dóra, B. (2023) · Scientific Reports · doi:10.1038/s41598-023-30840-4 · Cited by 9 · see citing works
Performance of Quantum Annealing Machine Learning Classification Models on ADMET Datasets
Salloum, H., Sabbagh, K., Savchuk, V., Lukin, R. Y., Orabi, O., Isangulov, M., & Mazzara, M. (2025) · IEEE Access · doi:10.1109/access.2025.3531391 · Cited by 10 · see citing works
Nonadiabatic quantum optimization for crossing quantum phase transitions
Grabarits, A., Balducci, F., Sanders, B. C., & del Campo, A. (2025) · Physical Review A · doi:10.1103/physreva.111.012215 · Cited by 9 · see citing works
Quantum error mitigation in quantum annealing
Raymond, J., Amin, M. H. S., King, A. D., Harris, R., Bernoudy, W., Berkley, A. J., Boothby, K., Smirnov, A. Y., Altomare, F., Babcock, M. C., et al. (2025) · npj Quantum Information · doi:10.1038/s41534-025-00977-3 · Cited by 16 · see citing works
Self-citationQuantum annealing with twisted fields
Imoto, T., Seki, Y., Matsuzaki, Y., & Kawabata, S. (2022) · New Journal of Physics · doi:10.1088/1367-2630/ac9155 · Cited by 10 · see citing works
Driven one-dimensional noisy Kitaev chain
Singh, M., Dhara, S., & Gangadharaiah, S. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.014303 · Cited by 9 · see citing works
Online Calibration Scheme for Training Restricted Boltzmann Machines with Quantum Annealing
Goto, T., & Ohzeki, M. (2025) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.94.034002 · Cited by 11 · see citing works
Experimental validation of the Kibble-Zurek mechanism on a digital quantum computer
Higuera-Quintero, S., Rodríguez, F. J., Quiroga, L., & Gómez-Ruiz, F. J. (2022) · Frontiers in Quantum Science and Technology · doi:10.3389/frqst.2022.1026025 · Cited by 9 · see citing works
Navigating the noise-depth tradeoff in adiabatic quantum circuits
Azses, D., Dupont, M., Evert, B., Reagor, M. J., & Torre, E. G. D. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.125127 · Cited by 8 · see citing works
Nonequilibrium critical dynamics with emergent supersymmetry
Zeng, Z., Yu, Y.-K., Li, Z., & Yin, S. (2025) · Physical review. B./Physical review. B · doi:10.1103/qtwr-8kth · Cited by 8 · see citing works
Counterdiabatic Driving with Performance Guarantees
Finžgar, J. R., Notarnicola, S., Cain, M., Lukin, M. D., & Sels, D. (2025) · Physical Review Letters · doi:10.1103/pqhl-nbtk · Cited by 10 · see citing works
Quantum Computing for Genomics: Conceptual Challenges and Practical Perspectives
Maurizio, A., & Mazzola, G. (2025) · PRX Life · doi:10.1103/h49j-bsc6 · Cited by 10 · see citing works
Youn, S., Kim, K., Park, J., & Kim, H. (2025) · Nano Energy · doi:10.1016/j.nanoen.2025.111633 · Cited by 8 · see citing works
Shirai, T., & Togawa, N. (2024) · IEEE Transactions on Quantum Engineering · doi:10.1109/tqe.2024.3376721 · Cited by 9 · see citing works
Effects of X X catalysts on quantum annealing spectra with perturbative crossings
Feinstein, N., Fry-Bouriaux, L., Bose, S., & Warburton, P. A. (2024) · Physical Review A · doi:10.1103/physreva.110.042609 · Cited by 10 · see citing works
Dissipative Landau-Zener tunneling in the crossover regime from weak to strong environment coupling
Dai, X., Trappen, R., Chen, H., Melanson, D., Yurtalan, M. A., Tennant, D., Martinez, A., Tang, Y., Mozgunov, E., Gibson, J., et al. (2025) · Nature Communications · doi:10.1038/s41467-024-55588-x · Cited by 10 · see citing works
Self-citationGaussian-state Ansatz for the non-equilibrium dynamics of quantum spin lattices
Menu, R., & Roscilde, T. (2023) · SciPost Physics · doi:10.21468/scipostphys.14.6.151 · Cited by 8 · see citing works
Grabarits, A., Balducci, F., & del Campo, A. (2025) · Physical Review A · doi:10.1103/physreva.111.042207 · Cited by 7 · see citing works
Noisy sine-Gordon breather dynamics: A short review
Santis, D. D., Valenti, D., Spagnolo, B., Fresco, G. D., Carollo, A. C. M., & Guarcello, C. (2025) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2025.116641 · Cited by 7 · see citing works
Buchs, G., Beck, T. L., Bennink, R. S., Claudino, D., Delgado, A., Fadel, N. A., Groszkowski, P., Hamilton, K. E., Humble, T. S., Kumar, N., et al. (2026) · Future Generation Computer Systems · doi:10.1016/j.future.2026.108487 · Cited by 8 · see citing works
Individual subject evaluated difficulty of adjustable mazes generated using quantum annealing
Ishikawa, Y., Yoshihara, T., Okamura, K., & Ohzeki, M. (2023) · Frontiers in Computer Science · doi:10.3389/fcomp.2023.1285962 · Cited by 7 · see citing works
Universal defect density scaling in an oscillating dynamic phase transition
Yang, W.-C., Tsubota, M., del Campo, A., & Zeng, H.-B. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.108.174518 · Cited by 7 · see citing works
Bayocboc, F. A., Dziarmaga, J., & Zurek, W. H. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.109.064501 · Cited by 7 · see citing works
Kou, H.-C., Zhang, Z., & Li, P. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.155152 · Cited by 6 · see citing works
Dziubyna, A. M., Śmierzchalski, T., Gardas, B., Rams, M., & Mohseni, M. (2024) · Physical Review Applied · doi:10.1103/physrevapplied.23.054049 · Cited by 10 · see citing works
Quantum annealing enhanced Markov-Chain Monte Carlo
Arai, S., & Kadowaki, T. (2025) · Scientific Reports · doi:10.1038/s41598-025-07293-y · Cited by 7 · see citing works
Digitized counterdiabatic quantum critical dynamics
Visuri, A.-M., Cadavid, A. G., Bhargava, B. A., Romero, S. V., Grabarits, A., Chandarana, P., Solano, E., del Campo, A., & Hegade, N. N. (2026) · npj Quantum Information · doi:10.1038/s41534-026-01208-z · Cited by 7 · see citing works
Milestones on the Quantum Utility Highway: Quantum Annealing Case Study
McGeoch, C. C., & Farré, P. (2023) · ACM Transactions on Quantum Computing · doi:10.1145/3625307 · Cited by 6 · see citing works
PCQ: Parallel Compact Quantum Circuit Simulation
Liang, S., Lu, Y., Guo, C., Luk, W. W., & Kelly, P. H. J. (2024) · IEEE International Symposium on Field-Programmable Custom Computing Machines (FCCM) · doi:10.1109/fccm60383.2024.00013 · Cited by 6 · see citing works
Load balancing for high performance computing using quantum annealing
Rathore, O., Basden, A. G., Chancellor, N., & Kusumaatmaja, H. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.013067 · Cited by 11 · see citing works
Computation of relativistic and many-body effects in atomic systems using quantum annealing
Kumar, V. V., Baskaran, N., Prasannaa, V. S., Sugisaki, K., Mukherjee, D., Dyall, K. G., & Das, B. P. (2024) · Physical Review A · doi:10.1103/physreva.109.042808 · Cited by 7 · see citing works
Constructive plaquette compilation for the parity architecture
ter Hoeven, R., Niehoff, B. E., Kale, S., & Lechner, W. (2024) · Quantum Science and Technology · doi:10.1088/2058-9565/ad5a36 · Cited by 6 · see citing works
Symmetry: A Fundamental Resource for Quantum Coherence and Metrology
Frérot, I., & Roscilde, T. (2024) · Physical Review Letters · doi:10.1103/physrevlett.133.260402 · Cited by 5 · see citing works
Couzinié, Y., Nishiya, Y., Nishi, H., Kosugi, T., Nishimori, H., & Matsushita, Y. (2024) · Physical Review A · doi:10.1103/physreva.109.032416 · Cited by 6 · see citing works
Self-citationThe promises and challenges of many-body quantum technologies: A focus on quantum engines
Mukherjee, V., & Divakaran, U. (2024) · Nature Communications · doi:10.1038/s41467-024-47638-1 · Cited by 5 · see citing works
Kiss, O., Teplitskiy, D., Grossi, M., & Mandarino, A. (2025) · Quantum Science and Technology · doi:10.1088/2058-9565/addf75 · Cited by 5 · see citing works
- Authors
- King, A. D., Suzuki, S., Raymond, J., Zucca, A., Lanting, T., Altomare, F., Berkley, A. J., Ejtemaee, S., Hoskinson, E., Huang, S., Ladizinsky, E., MacDonald, A. J. R., Marsden, G., Oh, T., Poulin-Lamarre, G., Reis, M., Rich, C., Sato, Y., Whittaker, J. D., Yao, J., Harris, R., Lidar, D. A., Nishimori, H., & Amin, M. H.
- Affiliations
- D-Wave Systems (Canada) (CA)
- Saitama Medical University (JP)
- University of Southern California (US)
- Tokyo Institute of Technology (JP)
- Corresponding author
- King, Andrew D.
- ORCID
- Venue
- Nature Physics
- Published
- 2022-09-15
- Volume
- 18
- Issue
- 11
- Pages
- 1324-1328
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W4295929652
- Cited by
- 213
- References
- 43
- Citations by year
- 2026: 30 · 2025: 72 · 2024: 50 · 2023: 46 · 2022: 15
- FWCI
- 15.06
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nature Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (OMA-1936388)
- United States Department of Defense | Defense Advanced Research Projects Agency (HR00112190071)
- 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 › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- quantum annealing, transverse-field Ising model, quantum phase transitions, Kibble-Zurek mechanism, Landau-Zener transitions, superconducting flux qubit, open quantum systems, thermal effects, quantum simulation, quantum optimization
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
