corner
corner

Phys. Rev. A 75, 022326 (2007) [8 pages]

Fast rate estimation of a unitary operation in SU(d)

Download: PDF (146 kB) Buy this article Export: BibTeX or EndNote (RIS)

Jonas Kahn
Université Paris-Sud 11, Département de Mathématiques, Bâtiment 425, 91405 Orsay Cedex, France

Received 13 March 2006; revised 2 October 2006; published 23 February 2007

We give an explicit procedure based on entangled input states for estimating a SU(d) operation U with rate of convergence 1∕N2 when sending N particles through the device. We prove that this rate is optimal. We also evaluate the constant C such that the asymptotic risk is CN2. However, other strategies might yield a better constant C.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.022326
DOI:
10.1103/PhysRevA.75.022326
PACS:
03.67.-a