# Noise resistant quantum control using dynamical invariants

@article{Levy2017NoiseRQ, title={Noise resistant quantum control using dynamical invariants}, author={Amikam Levy and Anthony Kiely and Juan Gonzalo Muga and Ronnie Kosloff and E. Torrontegui}, journal={New Journal of Physics}, year={2017}, volume={20} }

A systematic approach to design robust control protocols against the influence of different types of noise is introduced. We present control schemes which protect the decay of the populations avoiding dissipation in the adiabatic and nonadiabatic regimes and minimize the effect of dephasing. The effectiveness of the protocols is demonstrated in two different systems. Firstly, we present the case of population inversion of a two-level system in the presence of either one or two simultaneous…

## 36 Citations

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It is observed that, according to the decay and dephasing channels investigated here, the performance of the system becomes highly dependent on the sweep function.

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This work considers trapped ions set-ups in which each spin interacts with all the others with the uniform coupling strength or with a power-law coupling and complements the adiabatic protocols with dynamical decoupling to mitigate the effects of dephasing.

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A multi-dimensional Gaussian quantum invariant is constructed that permits the design of time-dependent potentials that let the ground state of an initial potential evolve towards the groundState of a final potential.

Fast and Robust Quantum State Transfer via Optimal Transitionless Quantum Driving

- PhysicsAnnalen der Physik
- 2022

For the past few years, shortcuts to adiabaticity have attracted great attention since they can avoid the necessity of slow driving for adiabatic method while inheriting the partial robustness of the…

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