Abstract
The quantum speed limit (QSL) sets a bound on the minimum time required for a quantum system to evolve between two states. For open quantum systems this quantity depends on the dynamical map describing the time evolution in presence of the environment, on the evolution time τ, and on the initial state of the system. We consider a general single qubit open dynamics and show that there is no simple relationship between memory effects and the tightness of the QSL bound. We prove that only for specific classes of dynamical evolutions and initial states, there exists a link between non-Markovianity and the QSL. Our results shed light on the connection between information back-flow between system and environment and the speed of quantum evolution.
Highlights
The idea of the possible existence of a fundamental limit, dictated by the principles of quantum mechanics, for the speed of evolution of quantum states was firstly discussed in [1]
Our main goal is to tackle the question of the connection between non-Markovianity and the quantum speed limit (QSL) not starting from a specific model but in full generality, looking in detail at the role played by the dynamical map, the evolution time τ, and the initial state, in the achievement of the QSL bound
We have studied the connection between the QSL, the evolution time, non-Markovianity, and the initial state for a qubit system undergoing generic and several large subclasses of dynamics
Summary
The quantum speed limit (QSL) sets a bound on the minimum time required for a quantum system to. For open quantum systems this quantity depends on the dynamical map this work must maintain attribution to the describing the time evolution in presence of the environment, on the evolution time τ, and on the author(s) and the title of initial state of the system. We consider a general single qubit open dynamics and show that there is no the work, journal citation and DOI. Simple relationship between memory effects and the tightness of the QSL bound. We prove that only for specific classes of dynamical evolutions and initial states, there exists a link between non-. Our results shed light on the connection between information back-flow between system and environment and the speed of quantum evolution
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
