Uncertainty relation revisited from quantum estimation theory

Yu Watanabe, Takahiro Sagawa, and Masahito Ueda
Phys. Rev. A 84, 042121 – Published 28 October 2011

Abstract

We use quantum estimation theory to formulate bounds of errors in quantum measurement for arbitrary quantum states and observables in a finite-dimensional Hilbert space. We prove that the measurement errors of two noncommuting observables satisfy Heisenberg-type uncertainty relation, find the achievable bound, and propose a strategy to achieve it.

  • Figure
  • Figure
  • Received 27 October 2010

DOI:https://doi.org/10.1103/PhysRevA.84.042121

©2011 American Physical Society

Authors & Affiliations

Yu Watanabe1,*, Takahiro Sagawa2,3, and Masahito Ueda1,4

  • 1Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
  • 2The Hakubi Center, The Kyoto University, Yoshida-Ushinomiya-cho, Sakyo-ku, Kyoto 606-8302, Japan
  • 3Yukawa Institute for Theoretical Physics, The Kyoto University, Kitashirakawa Oiwake-cho, Kyoto 606-8502, Japan
  • 4ERATO Macroscopic Quantum Control Project, JST, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan

  • *watanabe@cat.phys.s.u-tokyo.ac.jp

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 84, Iss. 4 — October 2011

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×