The Weak Value and the Weak Measurement: their Foundation and Application
| Project/Area Number |
25400423
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Atomic/Molecular/Quantum electronics
|
|---|
| Research Institution | High Energy Accelerator Research Organization |
|---|
Principal Investigator |
TSUTSUI Izumi 大学共同利用機関法人高エネルギー加速器研究機構, 素粒子原子核研究所, 准教授 (10262106)
|
|---|
| Project Period (FY) |
2013-04-01 – 2018-03-31
|
| Project Status |
Completed (Fiscal Year 2017)
|
| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
|---|
| Keywords | 弱値 / 弱測定 / 不確定性関係 / 相補性 / 精密測定 / 擬確率 / 量子推定 / 量子測定 / 波動と粒子の二重性 / 物理量の実在性 |
|---|
| Outline of Final Research Achievements |
In the present research, we have succeeded to show that the Weak Value, which has been intensively studied in recent years as a novel physical quantity in quantum mechanics, may be regarded as a local realistic quantity in the typical quantum mechanical particle-wave duality viewpoint. We also derived a new uncertainty relation for the Weak Value, which includes the standard Heisenberg uncertainty relation as a special case. In addition, we have also provided a theoretical model allowing us to examine the validity of precision measurement by using the Weak Measurement, which is a method to obtain the Weak Value by means of conditional quantum measurement. With this, we analyzed some well-known examples of such precision measurement (including the detection of the quantum Hall effect of light) and proved their validity on a firm basis.
|
Report
(6 results)
Research Products
(35 results)
