Entanglement increase from local interaction in the absence of initial quantum correlation in the environment and between the system and the environment

Abstract

We consider a bipartite quantum system S=AB such that the part A is isolated from the environment E and only the part B interacts with E. Under such circumstances, entanglement of the system may experience decreases and increases, during the evolution of the system. Here, we show that the entanglement of the system can exceed its initial value, under such local interaction, even though, at the initial moment, there is no entanglement in the environment and the system and the environment are only classically correlated. The case which is studied in this paper possesses another interesting feature too: The reduced dynamics of the system can be modeled as a completely positive map. In addition, we introduce the concept of inaccessible entanglement to explain why entanglement can exceed its initial value, under local interactions, in open quantum systems.

8 pages, 1 figure. References are added. The title is changed

References in corpus (14)

• Entanglement detection
• Finite-Time Disentanglement via Spontaneous Emission
• Sudden Death of Entanglement
• Non-Markovian effects on the dynamics of entanglement
• Structure of states which satisfy strong subadditivity of quantum entropy with equality
• Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
• Sudden Death of Entanglement of Two Jaynes-Cummings Atoms
• Entanglement dynamics of two independent qubits in environments with and without memory
• Completely Positive Maps and Classical Correlations
• Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics
• Increase of entanglement by local PT -symmetric operations
• Entanglement Dynamics of Two Independent Cavity-Embedded Quantum Dots
• Entanglement increase from local interactions with not-completely-positive maps
• Structure of states for which each localized dynamics reduces to a localized subdynamics

Cited by in corpus (3)

• Requiring linearity leads to complete positivity
• Positivity of the assignment map implies complete positivity of the reduced dynamics
• Entanglement revival can occur only when the system-environment state is not a Markov state