One-component quantum mechanics and dynamical leakage-free paths

TL;DR

This paper introduces an exact one-component equation for quantum state dynamics, enabling new control methods to suppress decoherence and unify various quantum control techniques.

Contribution

It derives a novel one-component equation of motion that simplifies quantum dynamics and control, revealing leakage-free paths and unifying key quantum control concepts.

Findings

Identifies time-dependent leakage-free paths in quantum systems

Provides a nonperturbative control protocol for decoherence suppression

Unifies concepts like dynamical decoupling, Zeno effect, and adiabatic passage

Abstract

We derive an exact one-component equation of motion for the probability amplitude of a target time-dependent state, and use the equation to reformulate quantum dynamics and control for both closed and open systems. Using the one-component equation, we show that an unexpected time-dependent leakage-free path can be induced and we capture the essential quantity in determining the effect of decoherence suppression. Our control protocol based on the nonperturbative leakage elimination operator provides a unified perspective connecting some subtle, popular and important concepts of quantum control, such as dynamical decoupling, quantum Zeno effect, and adiabatic passage. The resultant one-component equation will promise significant advantages in both quantum mechanics and control.