Shortcuts to adiabaticity for open quantum systems and a mixed-state inverse engineering scheme

TL;DR

This paper introduces a robust, fast control scheme for open quantum systems that uses shortcuts to adiabaticity to efficiently transfer states along designed trajectories, applicable to current experimental setups.

Contribution

It develops a novel mixed-state control method based on dynamical invariants and shortcuts to adiabaticity for open quantum systems, enabling rapid and robust state transfer.

Findings

Scheme is robust to decoherence noises.

Applicable to nitrogen-vacancy centers in diamond.

Potential for experimental implementation with current technology.

Abstract

We propose a fast mixed-state control scheme to transfer the quantum state along designable trajectories in Hilbert space, which is robust to multiple decoherence noises. Starting with the dynamical invariants of open quantum systems, we present the shortcuts to adiabaticity (STAs) of open quantum systems at first, then apply the STAs to speed up the adiabatic steady process. Our scheme drives open systems from a initial steady state to a target steady state by a controlled Liouvillian that possesses the same form as the reference (original) one which is accessible in present-day experiments. The experimental observation with current available parameters for the nitrogen-vacancy (NV) center in diamond is suggested and discussed.