| 日時: |
2009-06-05 16:00 - |
| 場所: |
研究本館3階322室 |
| 会議名: |
Consistent Framework of Weak Values with Decoherence |
| 連絡先: |
佐々木、tsasaki AT post.kek.jp |
| 講演者: |
鹿野豊 (東京工業大学) |
| アブストラクト: |
What is an observable? According to von Neumann, the observable is defined as the self-adjoint operator. Is there another representation of the measurement outcome? The answer may be the weak values. The weak value of an observable is experimentally accessible by weak measurements as theoretically analyzed by Aharonov et al. and recently experimentally demonstrated. Furthermore, the weak values help reconsidering the Born probabilistic interpretation. The aim of our work [1] is to construct the quantum measurement for the weak values. We introduce a weak operator associated with the weak values and give a general framework of quantum operations to the weak operator in parallel with the Kraus representation of the completely positive map for the density operator. The decoherence effect is also investigated in terms of the weak measurement by a shift of a probe wave function of continuous variable. In our presentation, we talk about the motivation considering the weak values from the view of quantum foundations and show the nice property of the probability space independent of the observable via weak values. We construct the quantum measurement theory for the weak values. To conclude, the weak value is a useful tool in quantum information and quantum foundations despite its naming.
[1] Y. Shikano and A. Hosoya: arXiv:0812.4502. |
|
