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Entropic and information inequality for nonlinearly transformed two-qubit X-states

2014/10/11 by V. I. Manʹko, V. I. Man'ko, Roman S. Puzko +1
Computer Science · Mathematics · Physics and Astronomy · #Action (physics) #Algorithm #Discrete mathematics #Laser-Matter Interactions and Applications #Mathematics #Nonlinear system #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum entanglement #Quantum information #Quantum mechanics #Qubit #State (computer science) #Subadditivity #Von Neumann architecture #Von Neumann entropy #quant-ph

paper · pdf · doi:10.1209/0295-5075/109/50005

12 pages, 6 figures

arxiv created 2014/10/11 · openalex publication_date 2015/03/01 · arxiv updated 2015/06/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The entropic and information inequalities for two qubit X-states transformed by the nonlinear channels are given in explicit form. The subadditivity condition and nonnegativity of von Neumann quantum information are studied for both initial X-state and the state after action of the nonlinear channel. Partial case of Werner state is considered in detail. We shown that the von Neumann information increases due to action of the nonlinear channel. We generalize the results obtained for Werner state in our earlier article [J. Russ. Laser Res., 35, iss. 3 (2014)] to the case of X-state of two qubit system. We study the influence of nonlinear channel acting on X-state of two qubit system onto von Neumann mutual information.

Citations