Quantum control and the challenge of non-Hermitian model-building

TL;DR

This paper explores the potential of non-Hermitian, PT-symmetric quantum mechanics with a triplet of Hilbert spaces as a novel approach to quantum control model-building, addressing current theoretical challenges.

Contribution

It introduces a non-stationary extension of PT-symmetric quantum mechanics involving a triplet of Hilbert spaces for improved quantum control modeling.

Findings

Proposes a non-stationary PT-symmetric framework for quantum control

Highlights the role of a triplet of Hilbert spaces in the formalism

Suggests this approach as a promising new strategy for model building

Abstract

In the context of traditional quantum-control considerations it is conjectured that one of the promising new strategies of the constructive model building could be sought in a non-stationary upgrade of the formalism of PT-symmetric quantum mechanics. This upgrade is briefly reviewed and characterized by the simultaneous participation of a triplet of Hilbert spaces in the representation of a single quantum system.