Abstract
Fast and robust quantum control protocols are often based on an idealised approximate description of the relevant quantum system. While this may provide a performance which is close to optimal, improvements can be made by incorporating elements of the full system representation. We propose a new technique for such scenarios, called enhanced shortcuts to adiabaticity (eSTA). The eSTA method works for previously intractable Hamiltonians by providing an analytical correction to existing STA protocols. This correction can be easily calculated and the resulting protocols are outside the class of STA schemes. We demonstrate the effectiveness of the method for three distinct cases: manipulation of an internal atomic state beyond the rotating wave approximation, transport of a neutral atom in an optical Gaussian trap and transport of two trapped ions in an anharmonic trap.
Highlights
The development of quantum technologies for a wide variety of applications is a rapidly growing field [1]
We provide an analytical enhancement to Shortcuts to adiabaticity (STA) protocols inspired by techniques from numerical optimal control, termed enhanced shortcuts to adiabaticity
In this paper we have presented an analytic extension to previous STA quantum control methods
Summary
The development of quantum technologies for a wide variety of applications is a rapidly growing field [1]. The process must be fast to avoid long interaction times with the external environment (decoherence) and stable to avoid accumulation of errors These problems have been addressed by a number of distinct techniques, such as adiabatic methods [2], composite pulses [3,4,5], numerical optimal control [6,7,8,9], and shortcuts to adiabaticity [10,11]. STA methods have the advantage of providing physical insight into the control process as well as constructing a whole class of protocols that achieve the desired result. We provide an analytical enhancement to STA protocols inspired by techniques from numerical optimal control, termed enhanced shortcuts to adiabaticity (eSTA). V we apply eSTA to the transport of two trapped ions in an anharmonic trap [51,52,53,54,55]
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