The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Transforming quantum operations: Quantum supermaps
Open accessAbstract
We introduce the concept of quantum supermap , describing the most general transformation that maps an input quantum operation into an output quantum operation. Since quantum operations include as special cases quantum states, effects, and measurements, quantum supermaps describe all possible transformations between elementary quantum objects (quantum systems as well as quantum devices). After giving the axiomatic definition of supermap, we prove a realization theorem, which shows that any supermap can be physically implemented as a simple quantum circuit. Applications to quantum programming, cloning, discrimination, estimation, information-disturbance trade-off, and tomography of channels are outlined.
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
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
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
Quantum measuring processes of continuous observables
Ozawa, M. (1984) · Journal of Mathematical Physics · doi:10.1063/1.526000 · Cited by 504
Cited by
The Theory of Quantum Information
Watrous, J. (2018) · doi:10.1017/9781316848142 · Cited by 1,325
Quantum computations without definite causal structure
Chiribella, G., D’Ariano, G. M., Perinotti, P., & Valiron, B. (2013) · Physical Review A · doi:10.1103/physreva.88.022318 · Cited by 521
Self-citationTheoretical framework for quantum networks
Chiribella, G., D’Ariano, G. M., & Perinotti, P. (2009) · Physical Review A · doi:10.1103/physreva.80.022339 · Cited by 517
Self-citation
Metadata
- Authors
- Chiribella, G., D'Ariano, G. M., & Perinotti, P.
- Venue
- EPL (Europhysics Letters)
- Publisher
- IOP Publishing
- Published
- 2008-07-11
- Volume
- 83
- Issue
- 3
- Pages
- 30004
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2044607357
- Cited by
- 321
- References
- 4
- FWCI
- 6.36
- Type
- journal article
- Language
- en
- Open access
- bronze
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: Transforming quantum operations: Quantum supermaps. https://app.cochat.ai/papers/10.1209/0295-5075/83/30004
- The paper
- Chiribella, G., D'Ariano, G. M., & Perinotti, P. (2008). Transforming quantum operations: Quantum supermaps. EPL (Europhysics Letters). https://doi.org/10.1209/0295-5075/83/30004
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.