Optimal estimation of quantum dynamics

Details Optimal estimation of quantum dynamics Optimal estimation of quantum dynamics

2000-12-04

arxiv.org/abs/quant-ph/0012015v1

Phys. Rev. A 64, 050302(R) (2001).

Physics

Quantum Physics

4 pages, REVTEX

Scientific paper

10.1103/PhysRevA.64.050302

We construct the optimal strategy for the estimation of an unknown unitary transformation $U\in SU(d)$. This includes, in addition to a convenient measurement on a probe system, finding which is the best initial state on which $U$ is to act. When $U\in SU(2)$, such an optimal strategy can be applied to estimate simultaneously both the direction and the strength of a magnetic field, and shows how to use a spin 1/2 particle to transmit information about a whole coordinate system instead of only a direction in space.

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