2023 Fiscal Year Research-status Report
Algebraic and decision-theoretic ways into quantum resource theories
| Project/Area Number |
20K03746
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| Research Institution | Nagoya University |
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Principal Investigator |
Buscemi F. 名古屋大学, 情報学研究科, 教授 (80570548)
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| Project Period (FY) |
2020-04-01 – 2025-03-31
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| Keywords | quantum measurements / quantum instruments / quantum incompatibility / measurement sharpness |
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| Outline of Annual Research Achievements |
During FY2023, two very important papers for this project were finally published. One is the paper: "Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication" and the other is: "A complete and operational resource theory of measurement sharpness". These papers lay the foundations for a coherent resource-theoretic characterization of quantum measurement processes. The first paper deals with the notion of incompatibility, which was clear for POVMs but was hotly debated in the case of instruments, and finally settles the situation by introducing an overarching framework to unify and harmonize pervious proposals. The second paper instead deals with the notion of sharpness, which we relate to the operational idea of repeatability. Moreover, a coherent framework for sharpness-non-increasing operations, something that other researchers have been looking for in the past, has been finally obtained. In addition, another resource-theoretic result was obtained: "Generalized resource theory of purity: one-shot purity distillation with local noisy operations and one way classical communication". The resource theory of purity plays an important role in modern formulations of quantum thermodynamics, and here we study the case of two players cooperating in the task.
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| Current Status of Research Progress |
Current Status of Research Progress
1: Research has progressed more than it was originally planned.
Reason
The number of papers published this year is particularly high (see later). Among these, three papers were among the main goals of the present project, and all of them have been published in good journals.
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| Strategy for Future Research Activity |
This project has been extended for another year. The reason is that the final journal paper of "Generalized resource theory of purity: one-shot purity distillation with local noisy operations and one-way classical communication" is still in preparation. (Currently only a proceeding version has been published.) The remaining funds will be used to facilitate the international collaboration on which this paper is based.
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| Causes of Carryover |
The reason for incurring amount to be used next fiscal year can still be traced back to the pandemic: some collaborators that it was necessary to invite in Japan, could not be invited. For this reason, some papers, like the one about the "resource of purity" were only submitted to conferences, and only proceedings have been published, but still we are in process of writing a paper. We plan to invite collaborators to Japan.
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| Remarks |
The work "Virtual Quantum Broadcasting" was featured on several news outlets on the web.
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