Time-optimal monotonic convergent algorithms for the control of quantum systems

Details Time-optimal monotonic convergent algorithms for the control of quantum systems Time-optimal monotonic convergent algorithms for the control of quantum systems

2012-03-11

arxiv.org/abs/1203.2337v1

Phys. Rev. A 85, 033406 (2012)

Physics

Quantum Physics

12 pages, 5 figures

Scientific paper

We present a new formulation of monotonically convergent algorithms which allows to optimize both the control duration and the field fluence. A standard algorithm designs a control field of fixed duration which both brings the system close to the target state and minimizes its fluence, whereas here we include in addition the optimization of the duration in the cost functional. We apply this new algorithm to the control of spin systems in Nuclear Magnetic Resonance. We show how to implement CNOT gates in systems of two and four coupled spins.

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