Simple information-processing tasks with unbounded quantum advantage
Heinosaari, T., Kerppo, O., Leppäjärvi, L., & Plávala, M. (2024). Simple information-processing tasks with unbounded quantum advantage. Physical Review A, 109(3), Article 032627. https://doi.org/10.1103/PhysRevA.109.032627
Julkaistu sarjassa
Physical Review APäivämäärä
2024Tekijänoikeudet
© 2024 American Physical Society
Communication scenarios between two parties can be implemented by first encoding messages into some states of a physical system which acts as the physical medium of the communication and then decoding the messages by measuring the state of the system. We show that already in the simplest possible scenarios it is possible to detect a definite, unbounded advantage of quantum systems over classical systems. We do this by constructing a family of operationally meaningful communication tasks, each of which, on the one hand, can be implemented by using just a single qubit but which, on the other hand, require an unboundedly larger classical system for classical implementation. Furthermore, we show that even though, with the additional resource of shared randomness, the proposed communication tasks can be implemented by both quantum and classical systems of the same size, the number of coordinated actions needed for the classical implementation also grows unboundedly. In particular, no finite storage can be used to store all the coordinated actions required to implement all possible quantum communication tasks with classical systems. As a consequence, shared randomness cannot be viewed as a free resource.
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American Physical SocietyISSN Hae Julkaisufoorumista
2469-9926Asiasanat
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https://converis.jyu.fi/converis/portal/detail/Publication/213160797
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Suomen AkatemiaRahoitusohjelmat(t)
Muut, SA; Akatemiahanke, SALisätietoja rahoituksesta
T.H. and O.K. acknowledge financial support from Business Finland under the project TORQS, Grant No. 8582/31/2022, and from the Academy of Finland under the mobility funding Grant No. 343228, and under the project DEQSE, Grant No. 349945. L.L. acknowledges support from the European Union’s Horizon 2020 research and innovation program under the program SASPRO 2 COFUND, Marie Sklodowska-Curie Grant Agreement No. 945478, as well as from projects APVV-22-0570 (DeQHOST) and VEGA 2/0183/21 (DESCOM). M.P. acknowledges support from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation Projects No. 447948357 and No. 440958198), the Sino-German Center for Research Promotion (Project No. M-0294), the ERC (Consolidator Grant No. 683107/TempoQ), the German Ministry of Education and Research (Project QuKuK, BMBF Grant No. 16KIS1618K), and the Alexander von Humboldt Foundation. ...Lisenssi
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