Phase covariant channel: Quantum speed limit of evolution

TL;DR

This paper analyzes the quantum speed limit for phase covariant channels, considering various noise processes and their effects on evolution speed, coherence, and information rate, including non-Markovian dynamics and temperature effects.

Contribution

It provides a comprehensive study of quantum speed limits for phase covariant maps under different noise combinations, highlighting the influence of coherence, temperature, and non-Markovianity.

Findings

Coherence-mixedness balance affects speed limit time.

Non-Markovian effects can modify quantum speed limits.

Finite temperature influences the evolution speed and information rate.

Abstract

The quantum speed of evolution for the phase covariant map is investigated. This involves absorption, emission and dephasing processes. We consider the maps under various combinations of the above processes to investigate the effect of phase covariant maps on quantum speed limit time. For absorption-free phase covariant maps, combinations of dissipative and CP-(in)divisible (non)-Markovian dephasing noises are considered. The role of coherence-mixedness balance on the speed limit time is checked in the presence of both vacuum and finite temperature effects. We also investigate the rate at which Holevo's information changes and the action quantum speed of evolution for specific cases of the phase covariant map.