Enhanced shortcuts to adiabaticity
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Full Text E-thesis
Date
2022
Authors
Whitty, Chris
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Publisher
University College Cork
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Abstract
Dynamical control of quantum systems is a fundamental requirement for designing and engineering quantum technologies. Adiabatic control methods are used extensively to control quantum systems in many settings. However, adiabatic control methods require long operation times. To address this issue, a collection of techniques called “shortcuts to adiabaticity" (STA) have been developed. STA have been applied in many settings, and they can offer significant improvement over adiabatic schemes.
However, a major limitation of STA is that fully analytic STA schemes are known only for several specific families of quantum systems. Motivated to overcome this restriction, in this thesis we derive an analytic method called “enhanced shortcuts to adiabaticity" (eSTA) that extends STA techniques to systems that do not admit STA methods exactly. We first derive the eSTA formalism and demonstrate its utility in designing control schemes for several practical quantum control settings. We then investigate the robustness of eSTA against several types of systematic error and environmental noise, using the setting of neutral atom lattice transport. We also derive an alternative eSTA technique that naturally includes higher order terms, at the expense of further calculation. Both the alternative and original eSTA schemes are applied to fast anharmonic trap expansion. Finally, transport of two ions with Coulomb interaction in an anharmonic trap is considered and eSTA is shown to be robust against the effect of amplitude noise in this setting.
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Keywords
Quantum control , Shortcuts to adiabaticity , Enhanced shortcuts to adiabaticity , Ion shuttling , Trap expansion , Invariant based inverse engineering
Citation
Whitty, C. 2022. Enhanced shortcuts to adiabaticity. PhD Thesis, University College Cork.