Quantum speed limits for information and coherence

TL;DR

This paper establishes fundamental quantum speed limits on informational measures like entropy and coherence, determining the minimal evolution time for quantum systems to change these measures, with implications for quantum information processing.

Contribution

It introduces new speed limits for informational measures in quantum systems, linking quantum speed limits to information erasure and quantum computing applications.

Findings

Derived speed limits for von Neumann entropy, maximal information, and coherence.

Established minimum time for quantum information erasure processes.

Linked quantum speed limits to practical quantum computing tasks.

Abstract

The quantum speed limit indicates the maximal evolution speed of the quantum system. In this work, we determine speed limits on the informational measures, namely the von Neumann entropy, maximal information, and coherence of quantum systems evolving under dynamical processes. These speed limits ascertain the fundamental limitations on the evolution time required by the quantum systems for the changes in their informational measures. Erasing of quantum information to reset the memory for future use is crucial for quantum computing devices. We use the speed limit on the maximal information to obtain the minimum time required to erase the information of quantum systems via some quantum processes of interest.