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Transforming quantum operations: Quantum supermaps

Open access
Chiribella, G., D'Ariano, G. M., Perinotti, P.·2008·EPL (Europhysics Letters)

Abstract

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.

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Metadata

Authors
Chiribella, G., D'Ariano, G. M., & Perinotti, P.
Venue
EPL (Europhysics Letters)
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

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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

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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.