Optimal Control of Superconducting N-level quantum systems

Details Optimal Control of Superconducting N-level quantum systems Optimal Control of Superconducting N-level quantum systems

2009-03-24

arxiv.org/abs/0903.4028v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

We consider a current-biased dc SQUID in the presence of an applied time-dependent bias current or magnetic flux. The phase dynamics of such a Josephson device is equivalent to that of a quantum particle trapped in a $1-$D anharmonic potential, subject to external time-dependent control fields, {\it i.e.} a driven multilevel quantum system. The problem of finding the required time-dependent control field that will steer the system from a given initial state to a desired final state at a specified final time is formulated in the framework of optimal control theory. Using the spectral filter technique, we show that the selected optimal field which induces a coherent population transfer between quantum states is represented by a carrier signal having a constant frequency but which is time-varied both in amplitude and phase. The sensitivity of the optimal solution to parameter perturbations is also addressed.

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