Dynamics of coherence-induced state ordering under Markovian channels

Abstract

We study the dynamics of coherence-induced state ordering under incoherent channels, particularly four specific Markovian channels: $-$ amplitude damping channel, phase damping channel, depolarizing channel and bit flit channel for single-qubit states. We show that the amplitude damping channel, phase damping channel, and depolarizing channel do not change the coherence-induced state ordering by $l_1$ norm of coherence, relative entropy of coherence, geometric measure of coherence, and Tsallis relative $\alpha$-entropies, while the bit flit channel does change for some special cases.

arXiv comment7 pages, 21 figures

References in corpus (15)

• Quantifying Coherence
• Measuring Quantum Coherence with Entanglement
• Dephasing assisted transport: Quantum networks and biomolecules
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• Vibrations, Quanta and Biology
• Catalytic Coherence
• Role of quantum coherence in chromophoric energy transport
• Low-temperature thermodynamics with quantum coherence
• Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
• Witnessing Quantum Coherence: from solid-state to biological systems
• A quantitative theory of coherent delocalization
• Increasing thermoelectric performance using coherent transport
• Coherence non-generating channels
• Ordering states with coherence measures
• Ordering states with various coherence measures

Cited by in corpus (2)

• Measures of imaginarity and quantum state order
• The reduction of the number of incoherent Kraus operations for qutrit systems