Abstract
We consider fast high-fidelity quantum control by using a shortcut to adiabaticity (STA) technique and optimal control theory (OCT). Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by moving harmonic trap, and spin dynamics in the presence of dissipation, are explicitly detailed. Using OCT as a qualitative guide, we demonstrate how STA protocols designed from inverse engineering method can approach with very high precision optimal solutions built about physical constraints, by a proper choice of the interpolation function and with a very reduced number of adjustable parameters.
Highlights
IntroductionThe last ten years witnessed the huge development of “shortcuts to adiabaticity” (STA)
The last ten years witnessed the huge development of “shortcuts to adiabaticity” (STA)with wide applications ranging from atomic, molecular, and optical physics (AMO) to quantum information transfer or processing [1,2]
shortcut to adiabaticity (STA) method provides a useful toolbox for fast and robust quantum controls with applications in a wide variety of quantum platforms such as cold atoms [23,24], NV center spin [25,26] including for their use as a quantum sensor [27], trapped ion [28], and superconducting qubit [29,30,31,32] to name a few
Summary
The last ten years witnessed the huge development of “shortcuts to adiabaticity” (STA). STA method provides a useful toolbox for fast and robust quantum controls with applications in a wide variety of quantum platforms such as cold atoms [23,24], NV center spin [25,26] including for their use as a quantum sensor [27], trapped ion [28], and superconducting qubit [29,30,31,32] to name a few Such controls have a clear added value to quantum optimal control in quantum information processing and quantum computing [33], in terms of analytical tools, numerical tools, and a combination of these two. We show how a simple ansatz having just a few tunable parameters can approach very precisely the optimal solution obtained for a given physical constraint
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