Shortcuts to Adiabaticity with Inherent Robustness and without Auxiliary Control

TL;DR

This paper introduces a new class of shortcuts to adiabaticity that are simple, resource-efficient, inherently robust, and avoid complex transformations, improving quantum state control and noise resilience.

Contribution

The authors develop a general path sampling method for STA that requires no extra controls or transformations, enhancing robustness and simplicity over existing techniques.

Findings

Reduces effects of dissipation and dephasing noise.

Enables reliable, fast ground state evolution in quantum computing.

Demonstrates robustness in three-level quantum control.

Abstract

Shortcuts to adiabaticity (STA) are fast methods to realize the same final state evolution of quantum adiabatic process. We develop a general theory to construct a new kind of STA by solely sampling the points of the adiabatic path of the original adiabatic Hamiltonian. In contrast to previous methods, our approach does not require any additional control resources, has inherent robustness, and does not use any complicated unitary transformation. Based on path sampling, the resulting STA protocols are simple and can avoid points of adiabatic path that are challenging to implement. As applications of our theory, we demonstrate reduction of the effects of both dissipation and dephasing noise by a novel robust three-level control, as well as reliable and fast ground state evolution in an adiabatic quantum computing model. Our theory offers a new route to design robust and fast control methods for general quantum systems.