Certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states
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,...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
American Physical Society
2014
|
| Online Access: | https://eprints.nottingham.ac.uk/47210/ |
| _version_ | 1848797490715820032 |
|---|---|
| author | Yang, Yuxiang Chiribella, Giulio Adesso, Gerardo |
| author_facet | Yang, Yuxiang Chiribella, Giulio Adesso, Gerardo |
| author_sort | Yang, Yuxiang |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:04:43Z |
| format | Article |
| id | nottingham-47210 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:04:43Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-472102020-05-04T16:55:48Z https://eprints.nottingham.ac.uk/47210/ Certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states Yang, Yuxiang Chiribella, Giulio Adesso, Gerardo 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. American Physical Society 2014-10-16 Article PeerReviewed Yang, Yuxiang, Chiribella, Giulio and Adesso, Gerardo (2014) Certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states. Physical Review A, 90 (4). 042319-1. ISSN 2469-9934 https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.042319 doi:10.1103/PhysRevA.90.042319 doi:10.1103/PhysRevA.90.042319 |
| spellingShingle | Yang, Yuxiang Chiribella, Giulio Adesso, Gerardo Certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states |
| title | Certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states |
| title_full | Certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states |
| title_fullStr | Certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states |
| title_full_unstemmed | Certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states |
| title_short | Certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states |
| title_sort | certifying quantumness: benchmarks for the optimal processing of generalized coherent and squeezed states |
| url | https://eprints.nottingham.ac.uk/47210/ https://eprints.nottingham.ac.uk/47210/ https://eprints.nottingham.ac.uk/47210/ |