Information Theoretical Approach to Control of Quantum Mechanical Systems

Details Information Theoretical Approach to Control of Quantum Mechanical Systems Information Theoretical Approach to Control of Quantum Mechanical Systems

2004-09-27

arxiv.org/abs/quant-ph/0409187v1

Phys. Rev. A 68 (2003) 064302

Physics

Quantum Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevA.68.064302

Fundamental limits on the controllability of quantum mechanical systems are discussed in the light of quantum information theory. It is shown that the amount of entropy-reduction that can be extracted from a quantum system by feedback controller is upper bounded by a sum of the decrease of entropy achievable in open-loop control and the mutual information between the quantum system and the controller. This upper bound sets a fundamental limit on the performance of any quantum controllers whose designs are based on the possibilities to attain low entropy states. An application of this approach pertaining to quantum error correction is also discussed.

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