Evolution equation for geometric quantum correlation measures
arXiv:1405.5748 · doi:10.1103/PhysRevA.91.052311
Abstract
A simple relation is established for the evolution equation of quantum information processing protocols such as quantum teleportation, remote state preparation, Bell-inequality violation and particularly dynamics of the geometric quantum correlation measures. This relation shows that when the system traverses the local quantum channel, various figures of merit of the quantum correlations for different protocols demonstrate a factorization decay behavior for dynamics. We identified the family of quantum states for different kinds of quantum channels under the action of which the relation holds. This relation simplifies the assessment of many quantum tasks.
7 pages, 2 figures
References in corpus (20)
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Robustness of quantum discord to sudden death
- Classical and quantum correlations under decoherence
- Vanishing quantum discord is necessary and sufficient for completely positive maps
- Operational Significance of Discord Consumption: Theory and Experiment
- Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
- A Factorization Law for Entanglement Decay
- One-norm geometric quantum discord under decoherence
- Measurement-induced nonlocality based on the trace norm
- Hierarchy and dynamics of trace distance correlations
- Evolution equation of entanglement for general bipartite systems
- Dynamics of entropic measurement-induced nonlocality in structured reservoirs
- Experimental Investigation of the Evolution of Gaussian Quantum Discord in an Open System
- Entanglement evolution in finite dimensions
- Lazy states: sufficient and necessary condition for zero quantum entropy rates under any coupling to the environment
- Evolution of entanglement for quantum mixed states
- Evolution equation for entanglement of assistance
- The Dynamics of the Bounds of Squared Concurrence
Cited by in corpus (5)
- Quantum discord and its allies: a review
- Evolution equation for quantum coherence
- A simple analytical expression of quantum Fisher and Skew information and their dynamics under decoherence channels
- Two definitions of the Gell-Mann channels - a comparative analysis
- Robustness of Measurement-Induced Correlations Under Decoherence Effect