The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Leftover Hashing Against Quantum Side Information
Open accessAbstract
The Leftover Hash Lemma states that the output of a two-universal hash function applied to an input with sufficiently high entropy is almost uniformly random. In its standard formulation, the lemma refers to a notion of randomness that is (usually implicitly) defined with respect to classical side information. Here, a strictly more general version of the Leftover Hash Lemma that is valid even if side information is represented by the state of a quantum system is shown. Our result applies to almost two-universal families of hash functions. The generalized Leftover Hash Lemma has applications in cryptography, e.g., for key agreement in the presence of an adversary who is not restricted to classical information processing.
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
A Fully Quantum Asymptotic Equipartition Property
Tomamichel, M., Colbeck, R., & Renner, R. (2009) · IEEE Transactions on Information Theory · doi:10.1109/tit.2009.2032797 · Cited by 356
Self-citationExtractors and pseudorandom generators
(2001) · Journal of the ACM · doi:10.1145/502090.502099 · Cited by 324
Cited by
Advances in quantum cryptography
Pirandola, S., Andersen, U. L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., et al. (2020) · Advances in Optics and Photonics · doi:10.1364/aop.361502 · Cited by 2,033
Self-citationSecure quantum key distribution with realistic devices
Xu, F., Ma, X., Zhang, Q., Lo, H.-K., & Pan, J.-W. (2020) · Reviews of Modern Physics · doi:10.1103/revmodphys.92.025002 · Cited by 1,543
A generator for unique quantum random numbers based on vacuum states
Gabriel, C., Wittmann, C., Sych, D., Dong, R., Mauerer, W., Andersen, U. L., Marquardt, C., & Leuchs, G. (2010) · Nature Photonics · doi:10.1038/nphoton.2010.197 · Cited by 419
Trevisan's Extractor in the Presence of Quantum Side Information
De, A., Portmann, C., Vidick, T., & Renner, R. (2012) · SIAM Journal on Computing · doi:10.1137/100813683 · Cited by 161
Self-citationBeyond heat baths: Generalized resource theories for small-scale thermodynamics
Yunger Halpern, N., & Renes, J. M. (2016) · Physical Review E · doi:10.1103/physreve.93.022126 · Cited by 85
Metadata
- Authors
- Tomamichel, M., Schaffner, C., Smith, A., & Renner, R.
- Venue
- IEEE Transactions on Information Theory
- Published
- 2011-08
- Volume
- 57
- Issue
- 8
- Pages
- 5524-5535
- ISSN
- 0018-9448 (ISSN-L)
- 1557-9654
- OpenAlex
- W2180630352
- Cited by
- 303
- References
- 2
- FWCI
- 14.78
- 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: Leftover Hashing Against Quantum Side Information. https://app.cochat.ai/papers/10.1109/tit.2011.2158473
- The paper
- Tomamichel, M., Schaffner, C., Smith, A., & Renner, R. (2011). Leftover Hashing Against Quantum Side Information. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.2011.2158473
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.