Heralded processes on continuous-variable spaces as quantum maps
Conditional evolution is crucial for generating non-Gaussian resources for quantum-information tasks in the continuous variable scenario. However, tools are lacking for a convenient representation of heralded processes in terms of quantum maps for continuous variable states, in the same way as Wigne...
| Main Authors: | , , , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2012
|
| _version_ | 1797065436464939008 |
|---|---|
| author | Ferreyrol, F Spagnolo, N Blandino, R Barbieri, M Tualle-Brouri, R |
| author_facet | Ferreyrol, F Spagnolo, N Blandino, R Barbieri, M Tualle-Brouri, R |
| author_sort | Ferreyrol, F |
| collection | OXFORD |
| description | Conditional evolution is crucial for generating non-Gaussian resources for quantum-information tasks in the continuous variable scenario. However, tools are lacking for a convenient representation of heralded processes in terms of quantum maps for continuous variable states, in the same way as Wigner functions are able to give a compact description of the quantum state. Here we propose and study such a representation, based on the introduction of a suitable transfer function to describe the action of a quantum operation on a Wigner function. We also reconstruct the maps of two relevant examples of conditional processes, that is, noiseless amplification and photon addition, by combining experimental data and a detailed physical model. This analysis allows us to fully characterize the effect of experimental imperfections in their implementations. © 2012 American Physical Society. |
| first_indexed | 2024-03-06T21:28:38Z |
| format | Journal article |
| id | oxford-uuid:43eec5ee-ecce-430b-80d6-2d3b7984958c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:28:38Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:43eec5ee-ecce-430b-80d6-2d3b7984958c2022-03-26T14:58:36ZHeralded processes on continuous-variable spaces as quantum mapsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:43eec5ee-ecce-430b-80d6-2d3b7984958cEnglishSymplectic Elements at Oxford2012Ferreyrol, FSpagnolo, NBlandino, RBarbieri, MTualle-Brouri, RConditional evolution is crucial for generating non-Gaussian resources for quantum-information tasks in the continuous variable scenario. However, tools are lacking for a convenient representation of heralded processes in terms of quantum maps for continuous variable states, in the same way as Wigner functions are able to give a compact description of the quantum state. Here we propose and study such a representation, based on the introduction of a suitable transfer function to describe the action of a quantum operation on a Wigner function. We also reconstruct the maps of two relevant examples of conditional processes, that is, noiseless amplification and photon addition, by combining experimental data and a detailed physical model. This analysis allows us to fully characterize the effect of experimental imperfections in their implementations. © 2012 American Physical Society. |
| spellingShingle | Ferreyrol, F Spagnolo, N Blandino, R Barbieri, M Tualle-Brouri, R Heralded processes on continuous-variable spaces as quantum maps |
| title | Heralded processes on continuous-variable spaces as quantum maps |
| title_full | Heralded processes on continuous-variable spaces as quantum maps |
| title_fullStr | Heralded processes on continuous-variable spaces as quantum maps |
| title_full_unstemmed | Heralded processes on continuous-variable spaces as quantum maps |
| title_short | Heralded processes on continuous-variable spaces as quantum maps |
| title_sort | heralded processes on continuous variable spaces as quantum maps |
| work_keys_str_mv | AT ferreyrolf heraldedprocessesoncontinuousvariablespacesasquantummaps AT spagnolon heraldedprocessesoncontinuousvariablespacesasquantummaps AT blandinor heraldedprocessesoncontinuousvariablespacesasquantummaps AT barbierim heraldedprocessesoncontinuousvariablespacesasquantummaps AT tuallebrourir heraldedprocessesoncontinuousvariablespacesasquantummaps |