A study of coherence based measure of quantumness in (non) Markovian channels

Abstract

We make a detailed analysis of quantumness for various quantum noise channels, both Markovian and non-Markovian. The noise channels considered include dephasing channels like random telegraph noise, non-Markovian dephasing and phase damping, as well as the non-dephasing channels such as generalized amplitude damping and Unruh channels. We make use of a recently introduced witness for quantumness based on the square $l_1$ norm of coherence. It is found that the increase in the degree of non-Markovianity increases the quantumness of the channel.

References in corpus (9)

• Maximally coherent mixed states: Complementarity between maximal coherence and mixedness
• Entanglement oscillations in non-Markovian quantum channels
• The squeezed generalized amplitude damping channel
• Study of coherence and mixedness in meson and neutrino systems
• The l1 Norm of Coherence of Assistance
• Coherence and Entanglement Monogamy in the Discrete Analogue of Analog Grover Search
• Quantumness of quantum channels
• An environment-mediated quantum deleter
• Non-Markovian Dynamics of Discrete-Time Quantum Walks

Cited by in corpus (7)

• Hierarchy of quantum correlations under non-Markovian dynamics
• Singularities, mixing and non-Markovianity of Pauli dynamical maps
• Attainable and usable coherence in X states over Markovian and non-Markovian channels
• Quantum versus classical transport of energy in coupled two-level systems
• (Thermo-)dynamics of the spin-boson model in the weak coupling regime: Application as a quantum battery
• Coherence behavior of strongly coupled bosonic modes
• Time evolution of quantum correlations in presence of state dependent bath