Interplay between entanglement and entropy in two-qubit systems

2009/04/18 by L. Mazzola, Laura Mazzola, Sabrina Maniscalco +5 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Entropy (arrow of time) #Markov process #Mathematics #Multipartite entanglement #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum decoherence #Quantum entanglement #Quantum mechanics #Qubit #Squashed entanglement #Statistical physics #Statistics #W state #quant-ph

paper · pdf · doi:10.1088/0953-4075/43/8/085505

published as J. Phys. B: At. Mol. Opt. Phys. 43 085505 2010 · 10 pages, 7 figures

arxiv created 2009/04/18 · openalex publication_date 2010/04/06 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We study the exact entanglement and entropy dynamics of two qubits interacting with a common zero-temperature non-Markovian reservoir. It is a commonly held view that entanglement loss due to environmental decoherence is accompanied by loss of purity of the state of the system. We demonstrate that such an intuitive picture does not always apply: the deterioration of entanglement and purity does not necessarily come together; i.e. revivals of entanglement can be accompanied by deterioration of purity. To complete our investigation on entanglement–mixedness interplay we consider the case of initial mixed states and study how the entanglement dynamics and its revivals are related to both the initial purity and the initial entanglement.

Citations

• Multiphoton communication in lossy channels with photon-number entangled states
• Concurrence versus purity: Influence of local channels on Bell states of two qubits
• Negative entanglement measure, and what it implies
• Dissipation and entanglement dynamics for two interacting qubits coupled to independent reservoirs
• Discrimination between pure states and mixed states
• From Bell’s Theorem to Secure Quantum Key Distribution
• Decoherence of two qubits in non-Markovian reservoirs without the rotating-wave approximation
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Finite-Time Disentanglement Via Spontaneous Emission
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Sudden Birth versus Sudden Death of Entanglement in Multipartite Systems
• Violation of Bell inequality and entanglement of decaying Werner states
• Sudden Death of Entanglement

Cited by

• Dissipative dynamics of quantum correlations in the strong-coupling regime
• Heisenberg’s Uncertainty Relation and Bell Inequalities in High Energy Physics