Quantum speed limit and divisibility of the dynamical map
arXiv:2101.11900 · doi:10.3390/e23030331
Abstract
The quantum speed limit (QSL) is the theoretical lower limit of the time for a quantum system to evolve from a given state to another one. Interestingly, it has been shown that non-Markovianity can be used to speed-up the dynamics and to lower the QSL time, although this behavior is not universal. In this paper we further carry on the investigation on the connection between QSL and non-Markovianity by looking at the effects of P- and CP-divisibility of the dynamical map to the quantum speed limit. We show that the speed-up can also be observed under P- and CP-divisible dynamics, and that the speed-up is not necessarily tied to the transition from P-divisible to non-P-divisible dynamics.
arXiv comment9 pages, 5 figures
References in corpus (15)
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Open Quantum Systems. An Introduction
- The maximum speed of dynamical evolution
- Quantum speed limit for physical processes
- Quantum speed limit for non-Markovian dynamics
- Quantum speed limits in open system dynamics
- Quantum limits to dynamical evolution
- The ultimate precision limits for noisy frequency estimation
- Environment assisted speed-up of the field evolution in cavity QED
- Geometric quantum speed limits: a case for Wigner phase space
- Fundamental limits to frequency estimation: A comprehensive microscopic perspective
- Phase covariant qubit dynamics and divisibility
- There is no general connection between the quantum speed limit and non-Markovianity
- Revealing memory effects in phase-covariant quantum master equations
- Complete positivity, finite temperature effects, and additivity of noise for time-local qubit dynamics
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- Enhancing phase-covariant channel performance with non-unitality
- Quantum Speed Limit for Change of Basis
- Quantifying information flow in quantum processes
- Generalized Entropic Quantum Speed Limits
- Quantum speed limits based on Jensen-Shannon and Jeffreys divergences for general physical processes
- Stochastic unravelings for Heisenberg picture and trace-nonpreserving dynamics