The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Multipartite nonlocality without entanglement in many dimensions
Open accessAbstract
We present a generic method to construct a product basis exhibiting nonlocality without entanglement with $n$ parties each holding a system of dimension at least $n\ensuremath{-}1$. This basis is generated via a quantum circuit made of controlled discrete Fourier transform gates acting on the computational basis. The simplicity of our quantum circuit allows for an intuitive understanding of this new type of nonlocality. We also show how this circuit can be used to construct unextendible product bases and their associated bound entangled states. To our knowledge, this is the first method which, given a general Hilbert space $\mathcal{H}={\ensuremath{\bigotimes}}_{i=1}^{n}{\mathcal{H}}_{{d}_{i}}$ with ${d}_{i}\ensuremath{\leqslant}n\ensuremath{-}1$, makes it possible to construct (i) a basis exhibiting nonlocality without entanglement, (ii) an unextendible product basis, and (iii) a bound entangled state.
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
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Einstein, A., Podolsky, B., & Rosen, N. (1935) · Physical Review · doi:10.1103/physrev.47.777 · Cited by 16,654
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
Werner, R. F. (1989) · Physical Review A · doi:10.1103/physreva.40.4277 · Cited by 4,062
Separability criterion and inseparable mixed states with positive partial transposition
Horodecki, P. (1997) · Physics Letters A · doi:10.1016/s0375-9601(97)00416-7 · Cited by 1,296
Mixed-state entanglement and distillation: Is there a ‘bound’ entanglement in nature?
Horodecki, M., Horodecki, P., & Horodecki, R. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.5239 · Cited by 1,208
Quantum nonlocality without entanglement
Bennett, C. H., DiVincenzo, D. P., Fuchs, C. A., Mor, T., Rains, E., Shor, P. W., Smolin, J. A., & Wootters, W. K. (1999) · Physical Review A · doi:10.1103/physreva.59.1070 · Cited by 1,130
Unextendible Product Bases and Bound Entanglement
Bennett, C. H., DiVincenzo, D. P., Mor, T., Shor, P. W., Smolin, J. A., & Terhal, B. M. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.5385 · Cited by 727
Local Distinguishability of Multipartite Orthogonal Quantum States
Walgate, J., Short, A. J., Hardy, L., & Vedral, V. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.4972 · Cited by 475
Optimal detection of quantum information
Peres, A., & Wootters, W. K. (1991) · Physical Review Letters · doi:10.1103/physrevlett.66.1119 · Cited by 355
Unextendible Product Bases, Uncompletable Product Bases and Bound Entanglement
DiVincenzo, D. P., Mor, T., Shor, P. W., Smolin, J. A., & Terhal, B. M. (2003) · Communications in Mathematical Physics · doi:10.1007/s00220-003-0877-6 · Cited by 349
Cited by
Quantum discord for two-qubit systems
Luo, S. (2008) · Physical Review A · doi:10.1103/physreva.77.042303 · Cited by 1,060
Quantum discord for two-qubitXstates
Ali, M., Rau, A. R. P., & Alber, G. (2010) · Physical Review A · doi:10.1103/physreva.81.042105 · Cited by 834
Metadata
- Authors
- Niset, J., & Cerf, N. J.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2006-11-03
- Volume
- 74
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2066221344
- Cited by
- 276
- References
- 12
- FWCI
- 1.91
- Type
- journal article
- Language
- en
- Open access
- green
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: Multipartite nonlocality without entanglement in many dimensions. https://app.cochat.ai/papers/10.1103/physreva.74.052103
- The paper
- Niset, J., & Cerf, N. J. (2006). Multipartite nonlocality without entanglement in many dimensions. Physical Review A. https://doi.org/10.1103/physreva.74.052103
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.
