The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Theoretical framework for quantum networks
Open accessAbstract
We present a framework to treat quantum networks and all possible transformations thereof, including as special cases all possible manipulations of quantum states, measurements, and channels, such as, e.g., cloning, discrimination, estimation, and tomography. Our framework is based on the concepts of quantum comb---which describes all transformations achievable by a given quantum network---and link product---the operation of connecting two quantum networks. Quantum networks are treated both from a constructive point of view---based on connections of elementary circuits---and from an axiomatic one---based on a hierarchy of admissible quantum maps. In the axiomatic context a fundamental property is shown, which we call universality of quantum memory channels: any admissible transformation of quantum networks can be realized by a suitable sequence of memory channels. The open problem whether this property fails for some nonquantum theory, e.g., for no-signaling boxes, is posed.
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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
Quantum detection and estimation theory
Helstrom, C. W. (1969) · Journal of Statistical Physics · doi:10.1007/bf01007479 · Cited by 3,776
Probabilistic and Statistical Aspects of Quantum Theory
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Quantum theory of open systems
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Completely Bounded Maps and Operator Algebras
Paulsen, V. (2003) · Cambridge University Press eBooks · doi:10.1017/cbo9780511546631 · Cited by 1,484
Silica-on-silicon waveguide quantum circuits
Politi, A., Cryan, M. J., Rarity, J. G., Yu, S., & O'Brien, J. L. (2008) · Science · doi:10.1126/science.1155441 · Cited by 1,084
Positive Functions on C ∗ -Algebras
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Quantum measuring processes of continuous observables
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Chiribella, G., D’Ariano, G. M., & Perinotti, P. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.060401 · Cited by 381
Self-citationTransforming quantum operations: Quantum supermaps
Chiribella, G., D'Ariano, G. M., & Perinotti, P. (2008) · EPL (Europhysics Letters) · doi:10.1209/0295-5075/83/30004 · Cited by 321
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The Theory of Quantum Information
Watrous, J. (2018) · doi:10.1017/9781316848142 · Cited by 1,325
Challenges and opportunities in quantum machine learning
Cerezo, M., Verdon, G., Huang, H.-Y., Cincio, L., & Coles, P. J. (2022) · Nature Computational Science · doi:10.1038/s43588-022-00311-3 · Cited by 689
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-citationExperimental verification of multipartite entanglement in quantum networks
McCutcheon, W., Pappa, A., Bell, B. A., McMillan, A., Chailloux, A., Lawson, T., Mafu, M., Markham, D., Diamanti, E., Kerenidis, I., et al. (2016) · Nature Communications · doi:10.1038/ncomms13251 · Cited by 137
Quantifying Quantumness of Channels Without Entanglement
Ku, H.-Y., Kadlec, J., Černoch, A., Quintino, M. T., Zhou, W., Lemr, K., Lambert, N., Miranowicz, A., Chen, S.-L., Nori, F., et al. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.020338 · Cited by 42
Metadata
- Authors
- Chiribella, G., D’Ariano, G. M., & Perinotti, P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2009-08-31
- Volume
- 80
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2041922678
- Cited by
- 517
- References
- 26
- FWCI
- 10.48
- Type
- journal article
- Language
- en
- Open access
- green
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