Non-unital non-Markovianity of quantum dynamics
arXiv:1301.5763 · doi:10.1103/PhysRevA.87.042103
Abstract
We show that Breuer-Laine-Piilo (BLP) non-Markovianity cannot capture the dynamical information in the non-unital aspect of the quantum dynamics. Moreover, we provide a measure on the effect of the non-unitality of quantum processes on the infinitesimal non-divisibility. This measure can be used as a supplement to BLP non-Markovianity for non-unital quantum processes. A measure on the degree of the non-unital behavior of quantum processes is also given in this paper.
arXiv commentaccepted by Phys. Rev. A
References in corpus (23)
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- The Role of Relative Entropy in Quantum Information Theory
- Entanglement and non-Markovianity of quantum evolutions
- Assessing non-Markovian dynamics
- Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
- Quantum Fisher Information Flow in Non-Markovian Processes of Open Systems
- Measure for the Non-Markovianity of Quantum Processes
- General non-Markovian dynamics of open quantum systems
- Dividing Quantum Channels
- On measures of non-Markovianity: divisibility vs. backflow of information
- Non-Markovian quantum dynamics: local versus non-local
- Behavior of Quantum Correlations under Local Noise
- Optimal state pairs for non-Markovian quantum dynamics
- Quantifying non-Markovianity of continuous variable Gaussian dynamical maps
- Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras
- Comparing different non-Markovianity measures: A case study
- An alternative non-Markovianity measure by divisibility of dynamical map
- Exciton-phonon information flow in the energy transfer process of photosynthetic complexes
- Entanglement Detection by Local Orthogonal Observables
- Distance between quantum states in presence of initial qubit-environment correlations: a comparative study
- Quantification of memory effects in the spin-boson model
- Proposed method for direct measurement of non-Markovian character of the qubits coupled to bosonic reservoirs
- Conditions for strictly purity-decreasing quantum Markovian dynamics
Cited by in corpus (33)
- Non-Markovian dynamics in open quantum systems
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Canonical form of master equations and characterization of non-Markovianity
- Non-Markovianity through accessible information
- Non-Markovianity through flow of information between a system and an environment
- Generalized trace distance measure connecting quantum and classical non-Markovianity
- Eternal non-Markovianity: from random unitary to Markov chain realisations
- Non-Markovian dephasing and depolarizing channels
- Fundamental limits on quantum dynamics based on entropy change
- Non-Markovian effects in electronic and spin transport
- Synchronization and Non-Markovianity in open quantum systems
- Non-Markovianity and memory effects in quantum open systems
- Entropic bounds on information backflow
- Quantum non-Markovianity: Overview and recent developments
- Entropic and trace distance based measures of non-Markovianity
- Holevo skew divergence for the characterization of information backflow
- Quantum causal correlations and non-Markovianity of quantum evolution
- Non-divisibility vs backflow of information in understanding revivals of quantum correlations for continuous-variable systems interacting with fluctuating environments
- The role of the total entropy production in dynamics of open quantum systems in detection of non-Markovianity
- Memory effects in quantum dynamics modelled by quantum renewal processes
- Towards Laser Control of Open Quantum Systems: Memory Effects
- Enhancing phase-covariant channel performance with non-unitality
- Complete positivity, positivity and long-time asymptotic behavior in a two-level open quantum system
- Bounds for the divisibility-based and distinguishability-based non-Markovianity measures
- Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation
- Availing non-Markovian dynamics in effective negative temperature-based transient quantum Otto engines
- On the eternal non-Markovianity of non-unital quantum channels
- Non-Markovian dynamics for a two-atom-coupled system interacting with local reservoir at finite temperature
- Frontiers of open quantum system dynamics
- Detecting Markovianity of Quantum Processes via Recurrent Neural Networks
- Learning the non-Markovian features of subsystem dynamics
- On the distinction between distinguishability of states and witness of non-Markovianity of dynamical maps
- Open quantum dynamics with singularities: Master equations and degree of non-Markovianity