The quantum speed of evolution for the phase covariant map is investigated. This involves absorption, emission, and dephasing processes. The maps under various combinations of the above processes are considered 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. The rate at which Holevo's information changes and the action quantum speed of evolution for specific cases of the phase covariant map are also investigated.
The quantum speed of evolution for the phase covariant map is investigated. In this context, we consider various combinations of (non)-Markovian, CP-(in)divisible, quantum channels and analyze how they affect the quantum speed limit time. 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 how the combination of (non)-Markovian channels decides the rate at which Holevo's information changes under different purity conditions.
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