2022 Fiscal Year Annual Research Report
The source of quantum advantages: a unified approach to quantum resources of states and processes
| Project/Area Number |
21F21015
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| Allocation Type | Single-year Grants |
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| Research Institution | The University of Tokyo |
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Principal Investigator |
村尾 美緒 東京大学, 大学院理学系研究科(理学部), 教授 (30322671)
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| Co-Investigator(Kenkyū-buntansha) |
REGULA BARTOSZ 東京大学, 理学(系)研究科(研究院), 外国人特別研究員
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| Project Period (FY) |
2021-07-28 – 2024-03-31
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| Keywords | Quantum resources / Quantum entanglement / Quantum thermodynamics / Hypothesis testing |
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| Outline of Annual Research Achievements |
During the second phase, we focused on three tasks: (1) extending developments started in the first year, in particular the study of probabilistic transformations of quantum resources; (2) exploring new questions in the discrimination of quantum states and channels; (3) studying the asymptotic properties of quantum entanglement.
With regards to point (1), this led to a new publication and an invited talk presentation at the Workshop on Quantum Information, Computation, and Foundations 2022 organized by Kyoto University.
Point (2) led to several papers which are now undergoing review.
Point (3) has led to two major publications, one which revealed significant differences between the theories of quantum entanglement and thermodynamics, and one which extended these ideas to quantum channels.
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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
Our results on the characterisation of quantum entanglement have been published in the high-impact journal Nature Physics, presented at several international conferences, and featured in scientific press, showing the significance of our findings in this direction.
We have also been able to develop a novel approach to quantum hypothesis testing assisted by postselection, which goes beyond previously studied techniques and has potential to lead to new insights in the characterization of quantum state discrimination.
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| Strategy for Future Research Activity |
The final part of the project will aim to extend more of our methods and results developed for quantum states, so that they can also be applied to quantum processes (quantum channels and more general higher-order quantum transformations). This will in particular concern the question of discrimination and hypothesis testing of quantum channels, where there are promising avenues to generalise previous techniques to shed new light onto the fundamental questions of how well two (or more) quantum processes can be distinguished.
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