Shared entanglement for three-party causal order guessing game
In a variant of communication tasks, players cooperate in choosing their local strategies to compute a given task later, working separately. Utilizing quantum bits for communication and sharing entanglement between parties is a recognized method to enhance performance in these situations. In this wo...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ada4d2 |
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| _version_ | 1832591608382488576 |
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| author | Ryszard Kukulski Paulina Lewandowska Karol Życzkowski |
| author_facet | Ryszard Kukulski Paulina Lewandowska Karol Życzkowski |
| author_sort | Ryszard Kukulski |
| collection | DOAJ |
| description | In a variant of communication tasks, players cooperate in choosing their local strategies to compute a given task later, working separately. Utilizing quantum bits for communication and sharing entanglement between parties is a recognized method to enhance performance in these situations. In this work, we introduce the game for which three parties, Alice, Bob and Charlie, would like to discover the hidden order in which they make the moves. We show the advantage of quantum strategies that use shared entanglement and local operations over classical setups for discriminating operations’ composition order. The role of quantum resources improving the probability of successful discrimination is also investigated. Our research provides a basis for examining computational model featuring a specific gate set while examining the diverse operations achievable through permutations of its elements. |
| format | Article |
| id | doaj-art-e01c3d74c3de45c5b5456d2f278e8360 |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-e01c3d74c3de45c5b5456d2f278e83602025-01-22T10:47:37ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127101301210.1088/1367-2630/ada4d2Shared entanglement for three-party causal order guessing gameRyszard Kukulski0Paulina Lewandowska1Karol Życzkowski2Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University , ul. Łojasiewicza 11, 30-348 Kraków, PolandIT4Innovations, VSB - Technical University of Ostrava , 17. listopadu 2172/15, Ostrava, 708 33, Czech RepublicFaculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University , ul. Łojasiewicza 11, 30-348 Kraków, Poland; Center for Theoretical Physics , Polish Academy of Sciences, Al. Lotników 32/46, Warszawa, 02-668, PolandIn a variant of communication tasks, players cooperate in choosing their local strategies to compute a given task later, working separately. Utilizing quantum bits for communication and sharing entanglement between parties is a recognized method to enhance performance in these situations. In this work, we introduce the game for which three parties, Alice, Bob and Charlie, would like to discover the hidden order in which they make the moves. We show the advantage of quantum strategies that use shared entanglement and local operations over classical setups for discriminating operations’ composition order. The role of quantum resources improving the probability of successful discrimination is also investigated. Our research provides a basis for examining computational model featuring a specific gate set while examining the diverse operations achievable through permutations of its elements.https://doi.org/10.1088/1367-2630/ada4d2quantum game theoryshared entanglementquantum communication |
| spellingShingle | Ryszard Kukulski Paulina Lewandowska Karol Życzkowski Shared entanglement for three-party causal order guessing game New Journal of Physics quantum game theory shared entanglement quantum communication |
| title | Shared entanglement for three-party causal order guessing game |
| title_full | Shared entanglement for three-party causal order guessing game |
| title_fullStr | Shared entanglement for three-party causal order guessing game |
| title_full_unstemmed | Shared entanglement for three-party causal order guessing game |
| title_short | Shared entanglement for three-party causal order guessing game |
| title_sort | shared entanglement for three party causal order guessing game |
| topic | quantum game theory shared entanglement quantum communication |
| url | https://doi.org/10.1088/1367-2630/ada4d2 |
| work_keys_str_mv | AT ryszardkukulski sharedentanglementforthreepartycausalorderguessinggame AT paulinalewandowska sharedentanglementforthreepartycausalorderguessinggame AT karolzyczkowski sharedentanglementforthreepartycausalorderguessinggame |