Fundamental Speed Limits to the Generation of Quantumness

TL;DR

This paper establishes fundamental speed limits on how quickly nonclassicality and quantumness can be generated in quantum systems, considering various dynamics and initial states.

Contribution

It introduces a quantum speed limit for the generation of quantumness, linking it to initial states and non-Markovian effects, and demonstrates tight bounds under specific conditions.

Findings

The speed limit governs the generation of nonclassicality in quantum evolution.

The bound is tight for pure dephasing dynamics.

Non-Markovian effects influence the timescale for quantumness generation.

Abstract

Quantum physics dictates fundamental speed limits during time evolution. We present a quantum speed limit governing the generation of nonclassicality and the mutual incompatibility of two states connected by time evolution. This result is used to characterize the timescale required to generate a given amount of quantumness under an arbitrary physical process. The bound is shown to be tight under pure dephasing dynamics. More generally, our analysis reveals the dependence on the initial state and non-Markovian effects.