Non-Markovian dynamics of quantum discord

2009/11/30 by F. F. Fanchini, T. Werlang, Carlos Alexandre Brasil +3 · 8 citations
Computer Science · Mathematics · Physics and Astronomy · #Amplitude damping channel #Dynamics (music) #Markov process #Mathematics #Neural Networks and Reservoir Computing #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum discord #Quantum entanglement #Quantum mechanics #Qubit #Statistical physics #Statistics #Sudden death #quant-ph

paper · pdf · doi:10.1103/physreva.81.052107

published as Phys. Rev. A. 81, 052107 (2010) · 6 pages, 4 figures

arxiv created 2010/05/11 · openalex publication_date 2010/05/11 · arxiv updated 2015/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We evaluate the quantum discord dynamics of two qubits in independent and common non-Markovian environments. We compare the dynamics of entanglement with that of quantum discord. For independent reservoirs the quantum discord vanishes only at discrete instants whereas the entanglement can disappear during a finite time interval. For a common reservoir, quantum discord and entanglement can behave very differently with sudden birth of the former but not of the latter. Furthermore, in this case the quantum discord dynamics presents sudden changes in the derivative of its time evolution which is evidenced by the presence of kinks in its behavior at discrete instants of time.

Citations

• Decoherence of two qubits in non-Markovian reservoirs without the rotating-wave approximation
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Completely positive maps and classical correlations
• Disentanglement and decoherence by open system dynamics
• Finite-Time Disentanglement Via Spontaneous Emission
• Non-Markovian effect on the quantum discord
• Non-Markovian decay of a three-level cascade atom in a structured reservoir
• Sudden Birth versus Sudden Death of Entanglement in Multipartite Systems
• Classical, quantum and total correlations

Cited by

• Geometric measure of quantum discord and the geometry of a class of two-qubit states
• Dissipative dynamics of quantum correlations in the strong-coupling regime
• Purity as a witness for initial system-environment correlations in open-system dynamics
• Creating quantum correlations through local nonunitary memoryless channels
• Quantum discord for two-qubitXstates: Analytical formula with very small worst-case error
• Optimal measurements to access classical correlations of two-qubit states
• Recovering the lost steerability of quantum states within non-Markovian environments by utilizing quantum partially collapsing measurements
• Interpreting quantum discord through quantum state merging