Quantum Control of Many-body Localized States

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We propose and analyze a new approach to the coherent control and manipulation of quantum degrees of freedom in disordered, interacting systems in the many-body localized phase.

• Our approach leverages a number of unique features of many-body localization: a lack of thermalization, a locally gapped spectrum, and slow dephasing.
• Using the technique of quantum phase estimation, we demonstrate a protocol that enables the local preparation of a many-body system into an effective eigenstate.
• This leads to the ability to encode information and control interactions without full microscopic knowledge of the underlying Hamiltonian.