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Certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states

Yang, Yuxiang; Chiribella, Giulio; Adesso, Gerardo

Authors

Yuxiang Yang

Giulio Chiribella



Abstract

Quantum technology promises revolutionary advantages in information processing and transmission compared to classical technology; however, determining which specific resources are needed to surpass the capabilities of classical machines often remains a nontrivial problem. To address such a problem, one first needs to establish the best classical solutions, which set benchmarks that must be beaten by any implementation claiming to harness quantum features for an enhanced performance. Here we introduce and develop a self-contained formalism to obtain the ultimate, generally probabilistic benchmarks for quantum information protocols including teleportation and approximate cloning, with arbitrary ensembles of input states generated by a group action, so-called Gilmore-Perelomov coherent states. This allows us to construct explicit fidelity thresholds for the transmission of multimode Gaussian and non-Gaussian states of continuous-variable systems, as well as qubit and qudit pure states drawn according to nonuniform distributions on the Bloch hypersphere, which accurately model the current laboratory facilities. The performance of deterministic classical procedures such as square-root measurement strategies is further compared with the optimal probabilistic benchmarks, and the state-of-the-art performance of experimental quantum implementations against our newly derived thresholds is discussed. This work provides a comprehensive collection of directly useful criteria for the reliable certification of quantum communication technologies.

Journal Article Type Article
Publication Date Oct 16, 2014
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 2469-9934
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 90
Issue 4
APA6 Citation Yang, Y., Chiribella, G., & Adesso, G. (2014). Certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states. Physical Review A, 90(4), https://doi.org/10.1103/PhysRevA.90.042319
DOI https://doi.org/10.1103/PhysRevA.90.042319
Publisher URL https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.042319
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information ©2014 American Physical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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