# Time-rescaled quantum dynamics as a shortcut to adiabaticity

**Authors:** Bert\'ulio de Lima Bernardo

arXiv: 1907.01916 · 2020-02-12

## TL;DR

This paper introduces a novel, state-independent method to accelerate quantum dynamics by time-rescaling a reference process, serving as an effective shortcut to adiabaticity across various quantum systems.

## Contribution

The authors propose a new approach to speed up quantum evolution through simple time-rescaling, providing a universal shortcut to adiabaticity applicable to different quantum systems.

## Key findings

- Effective acceleration of quantum processes demonstrated in three systems
- Method reduces effects of environment-induced noise and decoherence
- Applicable as a universal shortcut to adiabaticity

## Abstract

The design of quantum control methods has been shown to greatly improve the performance of many evolving quantum technologies. To this end, the usage of adiabatic dynamics to drive quantum systems is seriously limited by the action of environment-induced noise and decoherence. In this spirit, fast quantum processes known as shortcuts to adiabaticity have been developed as alternatives to adiabatic protocols with a myriad of potential applications. Here, we develop a new state-independent mechanism to speed up the evolution of an arbitrary quantum dynamical system by simply rescaling the time of a reference driving process; an approach which can also work as a shortcut to adiabaticity. Our findings are illustrated for three systems, namely the parametric oscillator, the transport of a particle in a harmonic trap, and the spin-1/2 in a magnetic field.

## Full text

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## Figures

7 figures with captions in the complete paper: https://tomesphere.com/paper/1907.01916/full.md

## References

47 references — full list in the complete paper: https://tomesphere.com/paper/1907.01916/full.md

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Source: https://tomesphere.com/paper/1907.01916