Time-Energy Uncertainty Relation for a Quantum Clock as a Control Device

TL;DR

This paper explores the fundamental limits of quantum control devices by establishing uncertainty relations that connect the control process duration and energy to the control quality, using a quantum clock model.

Contribution

It introduces a novel uncertainty relation framework specifically for quantum clocks functioning as control devices, linking control quality, time, and energy.

Findings

Derived uncertainty relations for quantum control processes

Quantified the trade-off between control duration and energy

Provided theoretical bounds on control quality

Abstract

A quantum clock working as a control device is examined. The quality of the control process is characterized by the magnitude of deviation of perturbed state from unperturbed state of the controlled system. Uncertainty relations that relate the time duration of the process and energy of the clock to the quality of the control are presented.