| Project/Area Number |
12F02320
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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
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| Co-Investigator(Kenkyū-buntansha) |
PAN Alok Kumar 名古屋大学, 情報科学研究科, 外国人特別研究員
PAN Alok 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 – 2014-03-31
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| Project Status |
Declined (Fiscal Year 2013)
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| Budget Amount *help |
¥1,700,000 (Direct Cost: ¥1,700,000)
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 | Quantum measurement / Weak and semiweak measurement / Joint weak value / Reality of auantum state / 量子測定 / 弱測定 / 弱値 / 結合弱値 / 量子文脈性 |
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| Research Abstract |
In this tenure, we studied mostly conceptual issues of quantum measurement, reality of quantum state and metrological advantage of weak measurement. The main areas of our investigation involve counterfactual paradoxes and weak measurement, psi-epistemic theories and noise induced quantum metrology. In particular, we studied the three-box paradox and the Chesire cat paradox and their solution using the technique of pre- and post-selection and weak measurement. We proposed a gadanken experiment to test such paradoxes using spin-1 atoms. We investigated whether the weak measurement and post-selection strategy provides better accuracy in estimating a small parameter than the standard technique. For this, we used the initial probe as mixed states where the mixedness is controlled by the temperature of the initial preparation characterized by the Maxwell-Boltzmann distribution. We also derived joint weak values of two commuting idempotent observables for any order of coupling beyond the standard formalism of weak measurement, and found some interesting results, for instance, that a single pointer can provide the joint weak value which cannot be obtained for first or second order coupling. We also studied the recent ontic-epistemic debate.
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| Strategy for Future Research Activity |
(抄録なし)
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Report
(2 results)
Research Products
(7 results)
