Mimicking states with limited resources: passing quantum quiz via global control

TL;DR

This paper introduces a protocol for efficiently simulating unknown quantum states with limited resources, enabling fast quantum state identification and control without requiring full state knowledge.

Contribution

The authors propose a novel protocol that combines elements of quantum identification and shortcuts to adiabaticity for resource-efficient quantum state simulation.

Findings

Protocol allows fast simulation of unknown quantum states.

Avoids orthogonality catastrophe in quantum transitions.

Optimized for minimal information and resource use.

Abstract

Precise control of quantum systems with a moderate number of degrees of freedom, being of interest for application in quantum technologies, becomes experimentally feasible. Various types of quantum scenarios and protocols are being widely discussed in scientific literature. We propose, analyze, and optimize a protocol which allows fast simulation of properties of unknown quantum states relying on minimum relevant information. Our protocol, having common features with quantum identification and shortcuts to adiabaticity, permits avoiding orthogonality catastrophe, where transitions between physically very similar systems are characterized by zero or a very low fidelity.