The role of coherence during classical and quantum decoherence

Abstract

The total correlations in a bipartite quantum system are measured by the quantum mutual information $\mathcal{I}$, which consists of quantum discord and classical correlation. However, recent results in quantum information shows that coherence, which is a part of total correlation, is more general and more fundamental than discord. The role of coherence in quantum resource theories is worthwhile to investigate. We first study the relation between quantum discord and coherence by reducing the difference between them. And then, we consider the dynamics of quantum discord, classical correlations and quantum coherence under incoherent quantum channels. We discover that coherence indicate the behavior of quantum discord (classical correlation) for times $t<\bar{t}$, and indicate the decoherence of classical correlation (quantum discord) for times $t>\bar{t}$. What is more, the coherence frozen and decay indicate the quantum discord and classical correlation frozen and decay respectively.

arXiv comment7pages, 5figures

References in corpus (30)

• Introducing Quantum Discord
• Quantifying Coherence
• Classical, quantum and total correlations
• Finite-Time Disentanglement via Spontaneous Emission
• The classical-quantum boundary for correlations: discord and related measures
• Necessary and sufficient condition for non-zero quantum discord
• Operational Resource Theory of Coherence
• Quantum discord for two-qubit X-states
• Unified View of Quantum and Classical Correlations
• Quantum Open System Theory: Bipartite Aspects
• Information-theoretic aspects of quantum inseparability of mixed states
• Robustness of quantum discord to sudden death
• Sudden transition between classical and quantum decoherence
• Classical and quantum correlations under decoherence
• Almost all quantum states have non-classical correlations
• No-local-broadcasting theorem for quantum correlations
• Converting Coherence to Quantum Correlations
• Frozen Quantum Coherence
• Quantum coherence in multipartite systems
• Quantum discord for general two--qubit states: Analytical progress
• System-reservoir dynamics of quantum and classical correlations
• Quantum Discord and the Geometry of Bell-Diagonal States
• Coherence depletion in the Grover quantum search algorithm
• Quantum discord and geometry for a class of two-qubit states
• Complementarity relations for quantum coherence
• A Unified View of Quantum Correlations and Quantum Coherence
• Resource Destroying Maps
• Broadcast copies reveal the quantumness of correlations
• Discordlike correlation of bipartite coherence
• Resource Theory of Special Antiunitary Asymmetry

Cited by in corpus (2)

• Based-nonequilibrium-environment non-Markovianity, quantum Fisher information and quantum coherence
• Quantum Coherence Bounds the Distributed Discords