The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
Quantum walks on a programmable two-dimensional 62-qubit superconducting processor
Open accessAbstract
Simulating quantum walkers: Quantum walks are the quantum mechanical analogs of classical random walks, describing the propagation of a quantum walker across a lattice, and find application in developing algorithms for simulating quantum many-body systems. Gong et al. used an 8-by-8 two-dimensional (2D) superconducting qubit square lattice containing 62 functional qubits to show how multiple (two) walkers traverse a 2D qubit array, interfering as they go. The authors were also able to program the paths that the walkers follow, demonstrating a Mach-Zehnder interferometer in which a single or multiple quantum walkers coherently traverse two paths before interfering and exiting at a single port. The results illustrate the potential for superconducting-based quantum processors in simulating large-scale quantum systems. Science , abg7812, this issue p. 948
Overview
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.
Integrity signals
Registry
Cites
Statistics
Verification
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?
The cited source says what the claim attributes to it.
In the citing paper
“Recent works reported 2D continuous-time quantum walks of correlated photons, relying on arrays of coupled waveguides 21,38,52 , and important results have been also achieved by means of superconductive quantum processors 6 .”
From Quantum walks of two correlated photons in a 2D synthetic lattice (2022) · cites this paper as [6]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Quantum supremacy using a programmable superconducting processor
Arute, F., Arya, K., Babbush, R., Bacon, D., Bardin, J. C., Barends, R., Biswas, R., Boixo, S., Brandao, F. G. S. L., Buell, D. A., et al. (2019) · Nature · doi:10.1038/s41586-019-1666-5 · Cited by 7,720
Quantum computational advantage using photons
Zhong, H.-S., Wang, H., Deng, Y.-H., Chen, M.-C., Peng, L.-C., Luo, Y.-H., Qin, J., Wu, D., Ding, X., Hu, Y., et al. (2020) · Science · doi:10.1126/science.abe8770 · Cited by 2,405
Self-citationAharonov, Y., Davidovich, L., & Zagury, N. (1993) · Physical Review A · doi:10.1103/physreva.48.1687 · Cited by 1,622
The finite group velocity of quantum spin systems
Lieb, E. H., & Robinson, D. W. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01645779 · Cited by 1,463
Quantum random-walk search algorithm
Shenvi, N., Kempe, J., & Whaley, K. B. (2003) · Physical Review A · doi:10.1103/physreva.67.052307 · Cited by 1,150
Universal Computation by Quantum Walk
Childs, A. M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.180501 · Cited by 1,002
Aspuru-Guzik, A., & Walther, P. (2012) · Nature Physics · doi:10.1038/nphys2253 · Cited by 952
Lambert, N., Chen, Y.-N., Cheng, Y.-C., Li, C.-M., Chen, G.-Y., & Nori, F. (2013) · Nature Physics · doi:10.1038/nphys2474 · Cited by 948
Quantum Walks of Correlated Photons
Peruzzo, A., Lobino, M., Matthews, J. C. F., Matsuda, N., Politi, A., Poulios, K., Zhou, X.-Q., Lahini, Y., Ismail, N., Wörhoff, K., et al. (2010) · Science · doi:10.1126/science.1193515 · Cited by 929
Light-cone-like spreading of correlations in a quantum many-body system
Cheneau, M., Barmettler, P., Poletti, D., Endres, M., Schauß, P., Fukuhara, T., Gross, C., Bloch, I., Kollath, C., & Kuhr, S. (2012) · Nature · doi:10.1038/nature10748 · Cited by 864
Flagged first, then by citations
Research works printed but not linked: 2
- A. M. Childs et al . in Proceedings of the Thirty-fifth Annual ACM Symposium on Theory of Computing (ACM 2003) pp. 59–68.
- B. Foxen., Quantum. Sci. Tech. 3, 014005 (2017).
Cited by
Sorted by citations
Items 301–330 of 330
Weaving Complex Graph on Simple Low-Dimensional Qubit Lattices
Dang, Y., Dhamapurkar, S., Zhu, X., Zhou, Z., Guan, H., & Deng, X. (2024) · International Conference on Quantum Communications, Networking, and Computing (QCNC) · doi:10.1109/qcnc62729.2024.00027
“In recent years, there have been some experiments implementing CTQWs on controllable multi-qubit systems [2], [17], [18].”
MethodSelf-citationPhoton blockade in a double-transmon system with ultrastrong coupling
田, T. 甜. T., 朱, X. 先. Z., & 田, X. 茜. T. (2024) · Communications in Theoretical Physics · doi:10.1088/1572-9494/ad75f3
“As one of the most promising candidates for the realization of quantum information processing and quantum computation, coherent control of quantum superconducting circuits has become a hot topic in the fi eld of quantum optics, which is called circuit quantum electrodynamics ( QED ) [ 1 – 8 ] .”
Semiconductor quantum bits: Structures and principles
Jin, D. (2024) · Elsevier eBooks · doi:10.1016/b978-0-323-96027-4.00043-7
Multisite gates for state preparation in quantum simulation of the Bose-Hubbard model
Praneel, P., Kiely, T. G., Mueller, E. J., & Petukhov, A. G. (2024) · Physical Review A · doi:10.1103/physreva.110.062615
Guan, H., Li, Y., & Deng, X. (2026) · npj Quantum Information · doi:10.1038/s41534-025-01147-1 · Cited by 1
“These features have spurred experimental demonstrations across various integrated qubit systems, such as superconducting qubits [15–17].”
Cryo-CMOS Model-Enabled 8-bit 32 MS/s SAR ADC with Split Capacitor Array
Huang, Y., Zhou, C., Guo, G., & Luo, C. (2024) · International Conference on Electronic Information Engineering and Computer Communication (EIECC) · doi:10.1109/eiecc64539.2024.10929259
“Several studies have shown that quantum computers can offer faster computation speeds and lower power consumption than traditional supercomputers for certain specific problems [1, 2].”
Entanglement distribution based on quantum walk in arbitrary quantum networks
Chen, T., Shang, Y., Chen, C.-T., & Fan, H. (2025) · Quantum Science and Technology · doi:10.1088/2058-9565/adcd96 · Cited by 1
Hu, Z., & Kais, S. (2025) · Annalen der Physik · doi:10.1002/andp.202500176 · Cited by 1
Determinate arbitrary quantum state engineering through one-dimensional quantum walks
Wang, Y., Li, M., & Zhao, Y. (2025) · Physical Review Research · doi:10.1103/2frm-2v6m · Cited by 1
Self-citationMany-body quantum dimerization in two-dimensional atomic arrays
Calajò, G., Tečer, M., Montangero, S., Silvi, P., & Liberto, M. F. D. (2025) · Physical Review A · doi:10.1103/1r6c-6ftv · Cited by 2
Efficient characterization of the coupler spectrum via sideband driving in superconducting qubits
Xu, J., 郭, R. 若. G., 郑, W. 文. Z., Zhang, Y., Zhao, J., Huang, Z., Wen, J., Zhang, R., Li, S., Tan, X., et al. (2025) · Chinese Physics B · doi:10.1088/1674-1056/ae00b0
Self-citationGonçalves, L. F., Oliveira, I. E. G. D., Caitano, R., Moraes, L., de Figueirêdo, P. H., & Ferraz, J. (2025) · Quantum Information Processing · doi:10.1007/s11128-025-04928-x
“…different platforms were used to implement experimental realizations of DTQWs, for instance, trapped atoms [20] and ions [21], photons in wave-guide structures [22], energy levels in NMR [23], integrated photonic circuits [24, 25], bulk optics setups [14, 26], and superconducting circuits [27, 28].”
Li, N., Zhao, Y., Ma, W.-L., Wang, Z. D., & Bai, Y.-K. (2025) · Physical review. B./Physical review. B · doi:10.1103/99ck-qnqs
“In experiments, LRIs can be precisely engineered and controlled in trapped ions [41, 42], Rydberg atoms [43–45], and superconductor systems [46].”
Self-citationEfficient preparation method for arbitrary multiqubit states based on quantum walk
Li, D., & Zhong, L. (2025) · Quantum Information Processing · doi:10.1007/s11128-025-04957-6
“Beyond their theoretical promise, experimental implementations of DTQWs on platforms such as trapped-ion systems [18, 19], photonic setups [20, 21], and superconducting circuits [22, 23] have demonstrated their feasibility.”
Yang, 王. W., Shixin, 马. M., Zhan, 李. L., Qingxue, 姚. Y., Chuanyi, 卢. L., Jie, 黄. H., & Xiaogang, 强. Q. (2025) · Acta Optica Sinica · doi:10.3788/aos251369
Re-examining quantum walk advantages: A mean hitting time perspective
Wójcik, J. (2026) · Physical review. E · doi:10.1103/5982-n6c3
Xue, P. (2025) · Elsevier eBooks · doi:10.1016/b978-0-443-33965-3.00003-1
Benchmark quantum computer with analytical single spin-flip dynamics
Guo, Z.-X., Hu, X.-D., Su, Q.-Q., Yu, X.-J., & Li, Z. (2025) · Quantum Frontiers · doi:10.1007/s44214-025-00096-2
“Recent experiments with quantum circuits, however, have shown more and more controllable qubits [45, 46].”
Non-cascade random walks in solid-state high harmonic generation
Zuo, Z., Wang, Y., Pan, S., Han, L., Xu, Y., Wu, D., Jiang, S., & Wu, J. (2026) · Nature Communications · doi:10.1038/s41467-026-69668-7
“Experimental realizations have been demonstrated in diverse platforms, including superconducting systems 10 – 12 , nuclear magnetic resonance 13,14 , cold atoms 15 , optical lattices 16,17 , free electrons 18,19 , and linear photonic systems 20 – 32 .”
Self-citationQuantum-driven sampling of the almost-uniform distribution via quantum walks
Radaelli, M., Benedetti, C., & Olivares, S. (2026) · New Journal of Physics · doi:10.1088/1367-2630/ae4820
Accrediting outputs of noisy all-optical quantum circuits
Liu, J., Chen, X., Xu, L., & Zhang, L. (2026) · Chinese Optics Letters · doi:10.3788/col202624.042701
Liu, X., Li, J., Zhang, G., Shen, L., Kang, Y., & Feng, W. (2026) · Advanced Quantum Technologies · doi:10.1002/qute.202500943
Zhao, Z., Zhuang, W., Gu, Y., 钱, P. 鹏. Q., Xiao, X., & Dong, L. (2026) · Quantum Science and Technology · doi:10.1088/2058-9565/ae6fe6
Thouless quantum walks in topological flat bands
Danieli, C., Conti, C., Pilozzi, L., & Brosco, V. (2026) · Light Science & Applications · doi:10.1038/s41377-025-02140-1
Observing Quantum Correlation Dynamics in Tunable Superconducting Bose-Hubbard Simulators
Wang, Z., Zhou, S.-Y., Shi, Y., Huang, K., Yang, Z. H., Zhang, J.-N., Zhao, K., Xu, Y., Li, H., Zhao, S. K., et al. (2026) · Physical Review Letters · doi:10.1103/hj9h-3tjc · Cited by 8
Self-citationControl of Qubit–Qubit Coupling with Double Superconducting Resonators
Wang, H., Wang, R., Sugiyama, D., Shih, C.-Y., Chen, C.-Y., Mukai, H., Xue, H., & Tsai, J.-S. (2026) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.95.074301 · Cited by 1
Anonymous, Qamar, S., Xiao, X., Gu, Y., Chai, X., Zhao, Z., Forcellini, N., & Liu, D. E. (2026) · Physical Review A · doi:10.1103/3bgq-jn3n · Cited by 4
Anonymous, Liu, Y.-H., Kuang, L., Nori, F., & Liao, J. (2026) · Physical Review A · doi:10.1103/pbmn-nlq4
Ghasemi, S. H. (2026) · Physical review. E · doi:10.1103/s6mj-4f1s
Metadata
- Authors
- Gong, M., Wang, S., Zha, C., Chen, M.-C., Huang, H.-L., Wu, Y., Zhu, Q., Zhao, Y., Li, S., Guo, S., Qian, H., Ye, Y., Chen, F., Ying, C., Yu, J., Fan, D., Wu, D., Su, H., Deng, H., Rong, H., Zhang, K., Cao, S., Lin, J., Xu, Y., Sun, L., Guo, C., Li, N., Liang, F., Bastidas, V. M., Nemoto, K., Munro, W. J., Huo, Y.-H., Lu, C.-Y., Peng, C.-Z., Zhu, X., & Pan, J.-W.
- Affiliations
- University of Science and Technology of China (CN)
- NTT (Japan) (JP)
- National Institute of Informatics (JP)
- Corresponding author
- Gong, Ming
- Wang, Shiyu
- Zha, Chen
- Zhu, Xiaobo
- Pan, Jian-Wei
- ORCID
- Venue
- Science
- Published
- 2021-05-28
- Volume
- 372
- Issue
- 6545
- Pages
- 948-952
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W3127536809
- Cited by
- 331
- References
- 26
- Citations by year
- 2026: 25 · 2025: 41 · 2024: 60 · 2023: 82 · 2022: 90 · 2021: 33
- FWCI
- 23.42
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Science (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Natural Science Foundation of Shanghai (19ZR1462700)
- National Key Research and Development Program of China Stem Cell and Translational Research (2017YFA0304300)
- National Science Foundation of China (11905217, 11774326)
- Anhui Initiative in Quantum Information Technologies
- Shanghai Municipal Science and Technology Major Project (2019SHZDZX01)
- Key-Area Research and Development Program of Guangdong Provice (2020B0303030001)
- Japanese MEXT Quantum Leap Flagship Program (JPMXS0118069605)
- Technology Committee of Shanghai Municipality
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- quantum walks, superconducting qubit arrays, programmable quantum processors, Mach-Zehnder interferometer, two-particle quantum walk, interference fringes, disorder tuning, quantum simulation, noisy intermediate-scale quantum computing
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
