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Arbitrarily Accurate Dynamical Control in Open Quantum Systems

2010; American Physical Society; Volume: 104; Issue: 9 Linguagem: Inglês

10.1103/physrevlett.104.090501

1092-0145

Kaveh Khodjasteh, Daniel A. Lidar, Lorenza Viola,

Laser-Matter Interactions and Applications

We show that open-loop dynamical control techniques may be used to synthesize unitary transformations in open quantum systems in such a way that decoherence is perturbatively compensated for to a desired (in principle arbitrarily high) level of accuracy, which depends only on the strength of the relevant errors and the achievable rate of control modulation. Our constructive and fully analytical solution employs concatenated dynamically corrected gates, and is applicable independently of detailed knowledge of the system-environment interactions and environment dynamics. Explicit implications for boosting quantum gate fidelities in realistic scenarios are addressed.