Multiobject operational tasks for measurement incompatibility
We introduce multiobject operational tasks for measurement incompatibility in the form of multiobject quantum subchannel discrimination and exclusion games with prior information, where a player can simultaneously harness the resources contained within both a quantum state and a set of measurements....
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/m7ln-tb1s |
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| _version_ | 1849319875964567552 |
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| author | Andrés F. Ducuara Ryo Takakura Fernando J. Hernandez Cristian E. Susa |
| author_facet | Andrés F. Ducuara Ryo Takakura Fernando J. Hernandez Cristian E. Susa |
| author_sort | Andrés F. Ducuara |
| collection | DOAJ |
| description | We introduce multiobject operational tasks for measurement incompatibility in the form of multiobject quantum subchannel discrimination and exclusion games with prior information, where a player can simultaneously harness the resources contained within both a quantum state and a set of measurements. We show that any fully or partially resourceful pair of objects is useful for a suitably chosen multiobject subchannel discrimination and exclusion game with prior information. The advantage provided by a fully or partially resourceful object against all possible fully free objects in such a game can be quantified in a multiplicative manner by the resource quantifiers of generalized robustness and the weight of a resource for discrimination and exclusion games, respectively. These results hold for arbitrary properties of quantum states as well as for arbitrary properties of sets of measurements closed under classical pre- and postprocessing and, consequently, include measurement incompatibility as a particular case. We furthermore show that these results are not exclusive to quantum theory, but can also be extended to the realm of general probabilistic theories. |
| format | Article |
| id | doaj-art-9ab6b190f90f42f5a309c7bcdc86353e |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-9ab6b190f90f42f5a309c7bcdc86353e2025-08-20T03:50:17ZengAmerican Physical SocietyPhysical Review Research2643-15642025-07-017303305010.1103/m7ln-tb1sMultiobject operational tasks for measurement incompatibilityAndrés F. DucuaraRyo TakakuraFernando J. HernandezCristian E. SusaWe introduce multiobject operational tasks for measurement incompatibility in the form of multiobject quantum subchannel discrimination and exclusion games with prior information, where a player can simultaneously harness the resources contained within both a quantum state and a set of measurements. We show that any fully or partially resourceful pair of objects is useful for a suitably chosen multiobject subchannel discrimination and exclusion game with prior information. The advantage provided by a fully or partially resourceful object against all possible fully free objects in such a game can be quantified in a multiplicative manner by the resource quantifiers of generalized robustness and the weight of a resource for discrimination and exclusion games, respectively. These results hold for arbitrary properties of quantum states as well as for arbitrary properties of sets of measurements closed under classical pre- and postprocessing and, consequently, include measurement incompatibility as a particular case. We furthermore show that these results are not exclusive to quantum theory, but can also be extended to the realm of general probabilistic theories.http://doi.org/10.1103/m7ln-tb1s |
| spellingShingle | Andrés F. Ducuara Ryo Takakura Fernando J. Hernandez Cristian E. Susa Multiobject operational tasks for measurement incompatibility Physical Review Research |
| title | Multiobject operational tasks for measurement incompatibility |
| title_full | Multiobject operational tasks for measurement incompatibility |
| title_fullStr | Multiobject operational tasks for measurement incompatibility |
| title_full_unstemmed | Multiobject operational tasks for measurement incompatibility |
| title_short | Multiobject operational tasks for measurement incompatibility |
| title_sort | multiobject operational tasks for measurement incompatibility |
| url | http://doi.org/10.1103/m7ln-tb1s |
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