A General Filter-Function Approach to Noise Filtering in Open-Loop Quantum Control

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• Viola, L (Dartmouth College)
• Tuesday 05 August 2014, 14:15-14:55
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Quantum Control Engineering: Mathematical Principles and Applications

Hamiltonian engineering via open-loop quantum control provides a versatile and experimentally validated framework for precisely manipulating a broad class of non-Markovian dynamical evolutions of interest, with applications ranging from dynamical decoupling and dynamically corrected quantum gates to noise spectroscopy and quantum simulation. In this context, transfer-function techniques directly motivated by control engineering have proved invaluable for obtaining a transparent picture of the controlled dynamics in the frequency domain and for quantitatively analyzing control performance. In this talk, I will show how to construct a general filter-function approach, which overcomes the limitations of the existing formalism. The key insight is to identify a set of “fundamental filter functions”, whose knowledge suffices to construct arbitrary filter functions in principle and to determine the minimum “filtering order” that a given control protocol can guar antee. Implications for dynamical control in multi-qubit systems and/or in the presence of non-Gaussian noise will be discussed.

This talk is part of the Isaac Newton Institute Seminar Series series.

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