Controlling the quantum speed limit time for unital maps via filtering operations

TL;DR

This paper investigates how filtering operations influence the quantum speed limit time, revealing that appropriate filtering can either increase or decrease the minimum evolution time between quantum states.

Contribution

It introduces an analysis of filtering operations' effects on quantum speed limit time using a relative purity bound applicable to any initial state.

Findings

Filtering operations can decrease quantum speed limit time in certain parameter intervals.

Adjusting filtering parameters can either increase or decrease the quantum speed limit time.

The study provides insights into controlling quantum evolution speed via filtering.

Abstract

The minimum time a system needs to change from an initial state to a final orthogonal state is called quantum speed limit time. Quantum speed limit time can be used to quantify the speed of the quantum evolution. The speed of the quantum evolution will increase, if the quantum speed limit time decreases. In this work we will use relative purity based bound for quantum speed limit time. It is applicable for any arbitrary initial state. Here, we investigate the effects of filtering operation on quantum speed limit time. It will be observed that for some intervals of filtering operation parameter the quantum speed limit time is decreased by increasing filtering operation parameter and for some other intervals it is decreased by decreasing filtering operation parameter.