Acceleration and deceleration of quantum dynamics based on inter-trajectory travel with fast-forward scaling theory

TL;DR

This paper introduces a method to accelerate and decelerate quantum dynamics using inter-trajectory travel and fast-forward scaling theory, enabling faster quantum state preparation and more feasible experimental control.

Contribution

It develops a novel approach to speed up quantum evolution and addresses practical limitations in control parameter variation for quantum systems.

Findings

Successfully accelerates quantum state preparation in coupled qubits

Enables decelerated dynamics to reach target states with slower control changes

Provides a practical framework for implementing fast-forward quantum control

Abstract

Quantum information processing requires fast manipulations of quantum systems in order to overcome dissipative effects. We propose a method to accelerate quantum dynamics and obtain a target state in a shorter time relative to unmodified dynamics, and apply the theory to a system consisting of two linearly coupled qubits. We extend the technique to accelerate quantum adiabatic evolution in order to rapidly generate a desired target state, thereby realizing a shortcut to adiabaticity. Further, we address experimental limitations to the rate of change of control parameters for quantum devices which often limit one's ability to generate a desired target state with high fidelity. We show that an initial state following decelerated dynamics can reach a target state while varying control parameters more slowly, enabling more experimentally feasible driving schemes.