Optimal tracking for pairs of qubit states

Details Optimal tracking for pairs of qubit states Optimal tracking for pairs of qubit states

2008-02-27

arxiv.org/abs/0802.3896v2

Phys. Rev. A, 78, 012319 (2008)

Physics

Quantum Physics

15 pages, 8 figures. Extensive revision of text, optimality results extended, other physical applications included

Scientific paper

10.1103/PhysRevA.78.012319

In classical control theory, tracking refers to the ability to perform measurements and feedback on a classical system in order to enforce some desired dynamics. In this paper we investigate a simple version of quantum tracking, namely, we look at how to optimally transform the state of a single qubit into a given target state, when the system can be prepared in two different ways, and the target state depends on the choice of preparation. We propose a tracking strategy that is proved to be optimal for any input and target states. Applications in the context of state discrimination, state purification, state stabilization and state-dependent quantum cloning are presented, where existing optimality results are recovered and extended.

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