| Project/Area Number |
12F02019
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| Research Category |
Grant-in-Aid for JSPS Fellows
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| Allocation Type | Single-year Grants |
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| Section | 外国 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Nagoya University |
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Principal Investigator |
小澤 正直 名古屋大学, 情報科学研究科, 教授 (40126313)
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| Co-Investigator(Kenkyū-buntansha) |
DALL'ARNO Michele 名古屋大学, 情報科学研究科, 外国人特別研究員
DALL'ARNO Michele 名古屋大学, 情報科学研究科, 外国人特別研究員
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 2014: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2013: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2012: ¥600,000 (Direct Cost: ¥600,000)
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| Keywords | 量子情報 / 量子通信 / 量子測定 / 量子暗号 |
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| Outline of Annual Research Achievements |
The accessible information quantifies the amount of classical information that can be extracted from an ensemble of quantum states. Analogously, the informational power quantifies the amount of classical information that can be extracted by a quantum measurement.For both quantities, we provided upper and lower bounds that depend only on the dimension of the system, and we proved their tightness. In the case of symmetric informationally complete (SIC) ensembles and measurements, we provided stronger bounds and we proved their tightness for qubits and qutrits. From our upper bounds, we noticed, perhaps surprisingly, that the statistics generated by SIC ensembles or measurements in arbitrary dimension, though optimal for tomographic purposes, in fact never contains more than just one bit of information, the rest being constituted by completely random bits. On the other hand, from our lower bounds, we obtained an explicit strategy beating the so-called "pretty-good" one for the extraction of mutual information in the case of SIC ensembles and measurements.
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| Research Progress Status |
26年度が最終年度であるため、記入しない。
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| Strategy for Future Research Activity |
26年度が最終年度であるため、記入しない。
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Report
(3 results)
Research Products
(23 results)
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[Journal Article] Universal Optimal Quantum Correlator2014
Author(s)
Francesco Buscemi, Michele Dall'Arno, Masanao Ozawa, and Vlatko Vedral
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Journal Title
International Journal of Quantum Information
Volume: 12
Issue: 07n08
Pages: 1560002-1560002
DOI
Related Report
Peer Reviewed / Open Access / Acknowledgement Compliant
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