Relation between fundamental estimation limit and stability in linear quantum systems with imperfect measurement

Naoki Yamamoto, Shinji Hara

研究成果: Article査読

6 被引用数 (Scopus)

抄録

From the noncommutative nature of quantum mechanics, estimation of canonical observables q and p is essentially restricted in its performance by the Heisenberg uncertainty relation, Δ q 2 Δ p 2 ≥ 2 4. This fundamental lower bound may become bigger when taking the structure and quality of a specific measurement apparatus into account. In this paper, we consider a particle subjected to a linear dynamics that is continuously monitored with efficiency η (0,1]. It is then clarified that the above Heisenberg uncertainty relation is replaced by Δ q 2 Δ p 2 ≥ 2 4η if the monitored system is unstable, while there exists a stable quantum system for which the Heisenberg limit is reached.

本文言語English
論文番号034102
ジャーナルPhysical Review A - Atomic, Molecular, and Optical Physics
76
3
DOI
出版ステータスPublished - 2007 9月 19
外部発表はい

ASJC Scopus subject areas

  • 原子分子物理学および光学

フィンガープリント

「Relation between fundamental estimation limit and stability in linear quantum systems with imperfect measurement」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル