Tomographic and Improved Subadditivity Conditions for Two Qubits and a Qudit with j = 3/2

2014/01/01 by V. N. Chernega, Vladimir N. Chernega, O. V. Man'ko +1 · 30 citations
Computer Science · Mathematics · Physics and Astronomy · #Inequality #Information theory #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum computer #Quantum information #Qubit #Spectral Theory in Mathematical Physics #Spin (aerodynamics) #Subadditivity #quant-ph

paper · pdf · doi:10.1007/s10946-014-9397-4

published in Journal of Russian Laser Research 35(1), 27-38 (Springer Science+Business Media) · 12 pages, submitted to Journal of Russian Laser Research

openalex publication_date 2014/01/01 · arxiv created 2014/01/25 · openalex created_date 2017/03/16 · arxiv updated 2019/02/12 · openalex updated_date 2026/08/06

Abstract

New entropic inequality for quantum and tomographic Shannon information for system of two qubits is obtained. The inequality relating quantum information and spin-tomographic information for particle with spin j = 3=2 is found. The method to extend the obtained new entropic and information inequalities for one qudit and arbitrary composite system of qudits is suggested.

Citations

• A Mathematical Theory of Communication
• Generalized Qubit Portrait of the Qutrit-State Density Matrix
• Star products, duality and double Lie algebras

Cited by

• Subadditivity Condition for Spin Tomograms and Density Matrices of Arbitrary Composite and Noncomposite Qudit Systems
• Entropic and information inequality for nonlinearly transformed two-qubit X-states
• Steering and Correlations for a Single Qudit State on the Example of Spin j =3/2
• Deformed Entropic and Information Inequalities forX-States of Two-Qubit and Single Qudit States
• New information-entropic relations for Clebsch–Gordan coefficients