The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Measuring entanglement entropy in a quantum many-body system
Abstract
Entanglement is one of the most intriguing features of quantum mechanics. It describes non-local correlations between quantum objects, and is at the heart of quantum information sciences. Entanglement is now being studied in diverse fields ranging from condensed matter to quantum gravity. However, measuring entanglement remains a challenge. This is especially so in systems of interacting delocalized particles, for which a direct experimental measurement of spatial entanglement has been elusive. Here, we measure entanglement in such a system of itinerant particles using quantum interference of many-body twins. Making use of our single-site-resolved control of ultracold bosonic atoms in optical lattices, we prepare two identical copies of a many-body state and interfere them. This enables us to directly measure quantum purity, Rényi entanglement entropy, and mutual information. These experiments pave the way for using entanglement to characterize quantum phases and dynamics of strongly correlated many-body systems.
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.
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 Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Shor, P. W. (1997) · SIAM Journal on Computing · doi:10.1137/s0097539795293172 · Cited by 8,472
Quantum Computation and Quantum Information: 10th Anniversary Edition
Nielsen, M. A., & Chuang, I. L. (2012) · doi:10.1017/cbo9780511976667 · Cited by 8,436
Simulating physics with computers
Feynman, R. P. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02650179 · Cited by 7,691
Measurement of subpicosecond time intervals between two photons by interference
Hong, C. K., Ou, Z. Y., & Mandel, L. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.2044 · Cited by 4,369
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Entanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793
Quantum simulations with ultracold quantum gases
Bloch, I., Dalibard, J., & Nascimbène, S. (2012) · Nature Physics · doi:10.1038/nphys2259 · Cited by 2,339 · cited 1×
“Synthetic quantum systems such as cold atoms [23, 24], photonic networks [25], and some microscopic solid state devices [26] have unique advantages: their almost arbitrary control and detection of single particles, experimental access to relevant dynamical time scales, and isolation from the environment.”
BackgroundJames, D. F. V., Kwiat, P. G., Munro, W. J., & White, A. G. (2001) · Physical Review A · doi:10.1103/physreva.64.052312 · Cited by 2,176 · cited 1×
“An exhaustive method to measure entanglement of an arbitrary state requires reconstructing the quantum state using tomography [29].”
Method
Cited by
Exploring the many-body localization transition in two dimensions
Choi, J.-Y., Hild, S., Zeiher, J., Schauß, P., Rubio-Abadal, A., Yefsah, T., Khemani, V., Huse, D. A., Bloch, I., & Gross, C. (2016) · Science · doi:10.1126/science.aaf8834 · Cited by 979
Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
Omran, A., Levine, H., Keesling, A., Semeghini, G., Wang, T. T., Ebadi, S., Bernien, H., Zibrov, A. S., Pichler, H., Choi, S., et al. (2019) · Science · doi:10.1126/science.aax9743 · Cited by 633
Self-citationTools for quantum simulation with ultracold atoms in optical lattices
Schäfer, F., Fukuhara, T., Sugawa, S., Takasu, Y., & Takahashi, Y. (2020) · Nature Reviews Physics · doi:10.1038/s42254-020-0195-3 · Cited by 488
Measuring multipartite entanglement through dynamic susceptibilities
Hauke, P., Heyl, M., Tagliacozzo, L., & Zoller, P. (2016) · Nature Physics · doi:10.1038/nphys3700 · Cited by 362
Observation of spatial charge and spin correlations in the 2D Fermi-Hubbard model
Cheuk, L. W., Nichols, M. A., Lawrence, K. R., Okan, M., Zhang, H., Khatami, E., Trivedi, N., Paiva, T., Rigol, M., & Zwierlein, M. W. (2016) · Science · doi:10.1126/science.aag3349 · Cited by 358
Metadata
- Authors
- Islam, R., Ma, R., Preiss, P. M., Eric Tai, M., Lukin, A., Rispoli, M., & Greiner, M.
- Venue
- Nature
- Published
- 2015-12
- Volume
- 528
- Issue
- 7580
- Pages
- 77-83
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2183109806
- Cited by
- 1,158
- References
- 19
- FWCI
- 43.65
- Type
- journal article
- Language
- en
- Open access
- closed
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Measuring entanglement entropy in a quantum many-body system. https://app.cochat.ai/papers/10.1038/nature15750
- The paper
- Islam, R., Ma, R., Preiss, P. M., Eric Tai, M., Lukin, A., Rispoli, M., & Greiner, M. (2015). Measuring entanglement entropy in a quantum many-body system. Nature. https://doi.org/10.1038/nature15750
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
