The DOI matches its Crossref record; 51 of the 51 references it cites were found in a registry or an index.
Verified quantum information scrambling
Open accessAbstract
Quantum scrambling is the dispersal of local information into many-body quantum entanglements and correlations distributed throughout an entire system. This concept accompanies the dynamics of thermalization in closed quantum systems, and has recently emerged as a powerful tool for characterizing chaos in black holes 1-4. However, the direct experimental measurement of quantum scrambling is difficult, owing to the exponential complexity of ergodic many-body entangled states. One way to characterize quantum scrambling is to measure an out-of-time-ordered correlation function (OTOC); however, because scrambling leads to their decay, OTOCs do not generally discriminate between quantum scrambling and ordinary decoherence. Here we implement a quantum circuit that provides a positive test for the scrambling features of a given unitary process 5,6. This approach conditionally teleports a quantum state through the circuit, providing an unambiguous test for whether scrambling has occurred, while simultaneously measuring an OTOC. We engineer quantum scrambling processes through a tunable three-qubit unitary operation as part of a seven-qubit circuit on an ion trap quantum computer. Measured teleportation fidelities are typically about 80 per cent, and enable us to experimentally bound the scrambling-induced decay of the corresponding OTOC measurement.
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 source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“We realize the walk on a chain of seven individual 171Yb+ ions confined in a Paul trap and laser-cooled close to their motional ground state45,51.”
From Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer (2020) · cites this paper as [51]
Experimental — accuracy not yet measured
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
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1895 · Cited by 13,703
The Large N Limit of Superconformal Field Theories and SupergravityPreprint
Maldacena, J. (1998) · Cited by 12,247
A fast quantum mechanical algorithm for database search
Grover, L. K. (1996) · Proceedings of the twenty-eighth annual ACM symposium on Theory of computing - STOC '96 · doi:10.1145/237814.237866 · Cited by 8,830
The Large-N Limit of Superconformal Field Theories and Supergravity
Maldacena, J. (1999) · International Journal of Theoretical Physics · doi:10.1023/a:1026654312961 · Cited by 6,704
Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering
Strogatz, S. H., Friedman, M. J., Mallinckrodt, A. J., & McKay, S. R. (1994) · Computers in Physics · doi:10.1063/1.4823332 · Cited by 4,654
Quantum Mechanics Helps in Searching for a Needle in a Haystack
Grover, L. K. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.325 · Cited by 4,306 · cited 1×
“The intuition behind this deterministic decoder is to perform a search for the EPR pair through an implementation of Grover’s search algorithm [33] instead of post-selecting on a projective measurement.”
MethodNonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering
Strogatz, S. H., & Fox, R. F. (1995) · Physics Today · doi:10.1063/1.2807947 · Cited by 2,584
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Nandkishore, R., & Huse, D. A. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031214-014726 · Cited by 2,568
Breakdown of predictability in gravitational collapse
Hawking, S. W. (1976) · Physical Review D · doi:10.1103/physrevd.14.2460 · Cited by 2,554
Cited by
Sorted by citations
Items 301–369 of 369
Directional scrambling of quantum information in helical multiferroics
Sekania, M., Melz, M., Sedlmayr, N., Mishra, S. K., & Berakdar, J. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.224421 · Cited by 2
Experimental tests of Lieb–Robinson bounds
Cheneau, M. (2022) · EMS Press eBooks · doi:10.4171/90-1/10 · Cited by 4
Fotoc complexity in the Lipkin–Meshkov–Glick model and its variant
Jaiswal, N., Gautam, M., Gill, A., & Sarkar, T. (2024) · The European Physical Journal B · doi:10.1140/epjb/s10051-023-00646-4 · Cited by 2
Design constraints for Unruh-DeWitt quantum computers
Aspling, E. W., Marohn, J. A., & Lawler, M. J. (2024) · SciPost Physics Core · doi:10.21468/scipostphyscore.7.2.019 · Cited by 4
Singh, S., Alderete, C. H., Balu, R., Monroe, C. R., Linke, N. M., & Chandrashekar, C. M. (2020) · arXiv (Cornell University) · Cited by 2
Self-citationScaling at the OTOC Wavefront: Integrable versus chaotic modelsPreprint
Riddell, J., Kirkby, W., O’Dell, D. H. J., & Sørensen, E. S. (2021) · arXiv (Cornell University) · Cited by 2
Out-of-time-ordered commutators in Dirac–Weyl systems
Okvátovity, Z., & Dóra, B. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.245125 · Cited by 1
Effect of quantum information scrambling on bound entangled states
Sinha, S. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad5912 · Cited by 1
Information scrambling and chaos induced by a Hermitian matrix
Gnutzmann∥, S., & Smilansky, U. (2024) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ad6f7c · Cited by 1
Learning out-of-time-ordered correlators with classical kernel methods
Tanner, J., Pye, J., & Wang, J. B. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.144301 · Cited by 1
Refining the understanding of operator size dynamics in open quantum systems
Jiang, H., & Zhang, P. (2025) · Journal of High Energy Physics · doi:10.1007/jhep07(2025)181 · Cited by 1
Loss of integrability in a system with two-photon interactions
Ramírez, F., Villaseñor, D., Morales-Guzman, V. S., Castro, D. Y., & Hirsch, J. G. (2025) · Physical Review A · doi:10.1103/c618-hql5 · Cited by 1
Resource theory of nonrevivals with applications to quantum many-body scars
Garcia, R. J., Bu, K., Chen, L., & Graf, A. M. (2025) · Physical Review A · doi:10.1103/614s-y4px · Cited by 2
Generalized Loschmidt echo and information scrambling in open systems
Zhou, Y.-N., & Liu, C. (2026) · SciPost Physics · doi:10.21468/scipostphys.20.3.072 · Cited by 6
Anonymous, Reilly, J., & Holland, M. (2026) · Physical Review Research · doi:10.1103/sq34-nf4v · Cited by 1
Entanglement-Enhanced Quantum Metrology via Alternating In-Phase and Quadrature Modulation
Anonymous, Huang, J., & Lee, C. (2026) · Physical Review Letters · doi:10.1103/djlj-pnlk · Cited by 1
Singapur, S. 2., Panda, D. K. D., & Sullivan, M. (2022) · Lecture notes in computer science · doi:10.1007/978-3-031-10419-0 · Cited by 1
Loschmidt echo and momentum distribution in a Kitaev spin chain
Vimal, V. K., Wanare, H., & Subrahmanyam, V. (2022) · Physical Review A · doi:10.1103/physreva.106.032221 · Cited by 1
Adjoint master equation for multitime correlators
Panyukov, I. V., Shishkov, V. Y., & Andrianov, E. S. (2024) · Physical Review A · doi:10.1103/physreva.109.052207 · Cited by 1
Improving metrology with quantum scrambling in a spin-1 Bose-Einstein condensate coupled to a cavity
Zheng, R., Qin, J., Chen, B., Yu, Z., & Zhou, L. (2024) · Optics Express · doi:10.1364/oe.527465 · Cited by 1
Quantum Information Scrambling in Adiabatically Driven Critical Systems
Puebla, R., & Gómez-Ruiz, F. J. (2024) · Entropy · doi:10.3390/e26110951 · Cited by 2
Information scrambling and entanglement dynamics in Floquet time crystals
Sahu, H., & Iemini, F. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.104302 · Cited by 1
Tensor Product Structure Geometry under Unitary Channels
Andreadakis, F., & Zanardi, P. (2025) · Quantum · doi:10.22331/q-2025-03-25-1668 · Cited by 4
Shukla, R. K., Malik, G. R., Aravinda, S., & Mishra, S. K. (2025) · The European Physical Journal B · doi:10.1140/epjb/s10051-025-01021-1 · Cited by 1
System symmetry and the classification of out-of-time-ordered correlator dynamics in quantum chaos
Chen, F., & Fang, P. (2025) · Physical review. B./Physical review. B · doi:10.1103/cygd-xcs3 · Cited by 1
Scrambling of quantum information validated by quantum teleportation
Home, J. (2019) · Nature · doi:10.1038/d41586-019-00743-4 · Cited by 1
Entanglement Dynamics in Spin Chains with Structured Long-Range Interactions
Bentsen, G. S., Daley, A. J., & Schachenmayer, J. (2022) · Quantum science and technology · doi:10.1007/978-3-031-03998-0_11 · Cited by 1
Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
Nguyen, N. T. H., Tran, M. C., Zhu, Y., Green, A., Alderete, C. H., Davoudi, Z., & Linke, N. M. (2022) · doi:10.26226/m.6275705766d5dcf63a311336 · Cited by 1
Self-citationOut-of-equilibrium dynamics of quantum many-body systems with long-range interactionsPreprint
Defenu, N., Lerose, A., & Pappalardi, S. (2023) · arXiv (Cornell University) · doi:10.3929/ethz-b-000673679 · Cited by 1
Graph Approach to Quantum Teleportation Dynamics
Honrubia, E., & Sanz, Á. S. (2020) · Quantum Reports · doi:10.3390/quantum2030025
(2021) · SciPost Physics · doi:10.21468/scipost.report.2662
(2021) · SciPost Physics · doi:10.21468/scipost.report.2389
(2021) · SciPost Physics · doi:10.21468/scipost.report.2693
Provable quantum computational advantage with the cyclic cluster statePreprint
Daniel, A. K., Zhu, Y., Alderete, C. H., Buchemmavari, V., Green, A., Nguyen, N. H., Thurtell, T. G., Zhao, A., Linke, N. M., & Miyake, A. (2021) · arXiv (Cornell University)
Self-citationGuo, Z.-X., Hu, X.-D., Su, Q.-Q., & Li, Z. (2021) · arXiv (Cornell University)
Chiew, S.-H., Kwek, L. C., & Lee, C. (2022) · Lecture notes in computer science · doi:10.1007/978-3-031-10419-0_4
Musser, G. S. (2022) · SpringerBriefs in physics · doi:10.1007/978-3-031-09895-6_3 · Cited by 1
Kells, G., Meidan, D., & Romito, A. (2022) · SciPost Physics · doi:10.21468/scipost.report.5851
Kells, G., Meidan, D., & Romito, A. (2022) · SciPost Physics · doi:10.21468/scipost.report.5219
Kells, G., Meidan, D., & Romito, A. (2022) · SciPost Physics · doi:10.21468/scipost.report.5100
(2023) · SciPost Physics · doi:10.21468/scipost.report.7737
(2023) · SciPost Physics · doi:10.21468/scipost.report.7800
(2023) · SciPost Physics Core · doi:10.21468/scipost.report.7339
Report on scipost_202402_00027v1
(2024) · SciPost Physics Core · doi:10.21468/scipost.report.8580
Quantum control based on solid-state nuclear magnetic resonance and its applications
Zhao, L., Yuchen, L. I., Haochuan, Y., Zhang, S., Wu, Z. W., & Peng, X. (2025) · Acta Physica Sinica · doi:10.7498/aps.74.20241709
Black Hole as an Information Mirror
Wang, X. (2025) · IntechOpen eBooks · doi:10.5772/intechopen.1009847 · Cited by 1
DUAN, 段. H.-X., WANG, 王. C., & WANG, 王. T.-J. (2023) · Acta Sinica Quantum Optica · doi:10.3788/jqo20232904.0301
Information Scrambling at Quantum Hall Interfaces and Their Analog to Black Hole Event Horizon
Ma, K. K. W., & Yang, K. (2025) · Springer Series in Astrophysics and Cosmology · doi:10.1007/978-981-96-6170-1_21 · Cited by 1
Equilibration of noninteracting photons and quantum signatures of chaos
Bastidas, V. M., Nourse, H. L., Sakurai, A., Hayashi, A., Nishio, S., Nemoto, K., & Munro, W. J. (2025) · Physical review. B./Physical review. B · doi:10.1103/tmw1-vry7
Disorder-induced preservation of nonthermal towers in spin-1 many-body systems
Liu, Y. S., & Zhang, X. Z. (2025) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2025.117328
Kim, M., Sajjan, M., & Kais, S. (2025) · IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce65121.2025.00220
Free Cumulants in Full Eigenstate Thermalization from Boundary Scrambling
Fritzsch, F., Alves, G. O., Rampp, M. A., & Claeys, P. W. (2026) · PRX Quantum · doi:10.1103/6n9v-b3b7 · Cited by 12
Generation of volume-law entanglement by local-measurement-only quantum dynamics
Bera, S., Gornyi, I. V., Banerjee, S., & Gefen, Y. (2026) · Physical review. B./Physical review. B · doi:10.1103/7hx8-2wrj
Optimal Control-Assisted Rapid Quantum State Transfer on 1-D Spin Chain
Zhang, K., & Kuang, S. (2025) · IEEE Transactions on Quantum Engineering · doi:10.1109/tqe.2025.3641027
Entanglement with a mode observable via a tunable interaction with a qubit
Strzałka, M., Filip, R., & Roszak, K. (2026) · Physical Review A · doi:10.1103/qdwp-8byl
Theory of Out-of-Time-Ordered Transport
Mishra, R., Wang, J., Pappalardi, S., & Delacrétaz, L. V. (2026) · Physical Review X · doi:10.1103/b5vq-s853
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
Distinguishing Coherent and Incoherent Errors in Multiround Time-Reversed Dynamics via Scramblons
Liu, Z., & Zhang, P. (2026) · Physical Review Letters · doi:10.1103/j72q-pf3h · Cited by 4
Dynamical scarring from scrambling in two-dimensional topological materials
Szpara, D., Głodzik, S., & Sedlmayr, N. (2026) · Physical review. B./Physical review. B · doi:10.1103/djnb-pddz
The flow of quantum information: from thermalization to scrambling
Mohamed, A.-B. A., Jaradat, E. K., Alotaibi, A. M., & Javed, M. (2026) · Laser Physics Letters · doi:10.1088/1612-202x/ae4f77
Out-of-time-order correlators bridge classical transport and quantum dynamics
Fricke, S., Mao, H., Sajjan, M., Demarteau, J., Helms, B. A., Ajoy, A., Witherspoon, V. J., Kais, S., & Reimer, J. A. (2026) · The Journal of Chemical Physics · doi:10.1063/5.0323131
Exact out-of-time-ordered correlators in free Luttinger liquids: Theory and perturbative corrections
Oak, P. S. (2026) · International Journal of Modern Physics B · doi:10.1142/s0217979226501869
Volume-Law Protection of Metrological Advantage
Wysocki, P., Chwedeńczuk, J., & Płodzień, M. (2026) · Physical Review Letters · doi:10.1103/3gg8-wgdr · Cited by 1
Superradiant Phase Is a Finite Size Effect in Two-photon Processes
Anonymous, Villaseñor, D., Vázquez, N., & Hirsch, J. G. (2026) · Physical Review Letters · doi:10.1103/syq9-z93n
Entanglement and firewalls in quantum circuit model of black hole evaporation
Lü, Y. S., Hsieh, T., & Lee, D.-S. (2026) · The European Physical Journal C · doi:10.1140/epjc/s10052-026-16001-7
Probing quantum information scrambling via local randomized measurements
Anonymous, & Zhang, D.-B. (2026) · Physical Review A · doi:10.1103/3wng-ynk2 · Cited by 1
Probing quantum scrambling and chaos in curved spacetime via Unruh-DeWitt detectors
Abd‐Rabbou, M. Y. (2026) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ae9ae9
Alharthi, N. S., Ghorashi, S. A., Altuijri, R., Mahmoud, M., Shaaban, S. M., & Abdel‐Aty, A. (2026) · Physics Letters A · doi:10.1016/j.physleta.2026.132184
Bidirectional Teleportation Using Scrambling Dynamics: A Practical Protocol
Vikram, A., Chaparro, E., Khan, M. M., Lucas, A., Akers, C., & Rey, A. M. (2026) · Physical Review Letters · doi:10.1103/9msw-jw53 · Cited by 6
Metadata
- Authors
- Landsman, K. A., Figgatt, C., Schuster, T., Linke, N. M., Yoshida, B., Yao, N. Y., & Monroe, C.
- Affiliations
- Joint Center for Quantum Information and Computer Science (US)
- University of California, Berkeley (US)
- Perimeter Institute (CA)
- Lawrence Berkeley National Laboratory (US)
- Corresponding author
- Landsman, K. A.
- Venue
- Nature
- Published
- 2019-03-06
- Volume
- 567
- Issue
- 7746
- Pages
- 61-65
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2805441291
- Cited by
- 368
- References
- 51
- Citations by year
- 2026: 25 · 2025: 44 · 2024: 53 · 2023: 55 · 2022: 53 · 2021: 62 · 2020: 47 · 2019: 28
- FWCI
- 20.89
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- arXiv (Cornell University)
- Topics
- 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
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum scrambling, quantum chaos, quantum teleportation, ion trap quantum computing, decoherence, thermalization, black holes
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