The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Quantum data processing and error correction
Open accessAbstract
This paper investigates properties of noisy quantum information channels. We define a quantity called coherent information, which measures the amount of quantum information conveyed in the noisy channel. This quantity can never be increased by quantum information processing, and it yields a simple necessary and sufficient condition for the existence of perfect quantum error correction. \textcopyright{} 1996 The American Physical Society.
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
Scheme for reducing decoherence in quantum computer memory
Shor, P. W. (1995) · Physical Review A · doi:10.1103/physreva.52.r2493 · Cited by 4,479
Completely positive linear maps on complex matrices
Choi, M.-D. (1975) · Linear Algebra and its Applications · doi:10.1016/0024-3795(75)90075-0 · Cited by 2,659
Good quantum error-correcting codes exist
Calderbank, A. R., & Shor, P. W. (1996) · Physical Review A · doi:10.1103/physreva.54.1098 · Cited by 2,516
Fidelity for Mixed Quantum States
Jozsa, R. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552171 · Cited by 1,911
States, Effects, and Operations Fundamental Notions of Quantum Theory
(1983) · Lecture Notes in Physics · doi:10.1007/3-540-12732-1 · Cited by 1,565
Theory of Quantum Error Correction for General Noise
Knill, E., Laflamme, R., & Viola, L. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.2525 · Cited by 866
A New Proof of the Quantum Noiseless Coding Theorem
Jozsa, R., & Schumacher, B. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552191 · Cited by 304
Self-citationOperations and measurements. II
Hellwig, K. E., & Kraus, K. (1970) · Communications in Mathematical Physics · doi:10.1007/bf01646620 · Cited by 143
Cited by
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Decoherence, einselection, and the quantum origins of the classical
Zurek, W. H. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.715 · Cited by 4,295
Quantum Discord: A Measure of the Quantumness of Correlations
Ollivier, H., & Zurek, W. H. (2001) · Physical Review Letters · doi:10.1103/physrevlett.88.017901 · Cited by 3,616
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
The classical-quantum boundary for correlations: Discord and related measures
Modi, K., Brodutch, A., Cable, H., Paterek, T., & Vedral, V. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1655 · Cited by 1,600
Metadata
- Authors
- Schumacher, B., & Nielsen, M. A.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1996-10-01
- Volume
- 54
- Issue
- 4
- Pages
- 2629-2635
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1985989979
- Cited by
- 654
- References
- 8
- FWCI
- 19.70
- 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: Quantum data processing and error correction. https://app.cochat.ai/papers/10.1103/physreva.54.2629
- The paper
- Schumacher, B., & Nielsen, M. A. (1996). Quantum data processing and error correction. Physical Review A. https://doi.org/10.1103/physreva.54.2629
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.