Subadditivity Condition for Spin Tomograms and Density Matrices of Arbitrary Composite and Noncomposite Qudit Systems

2014/03/10 by V. N. Chernega, Vladimir N. Chernega, O. V. Man'ko +3 · 4 citations
Computer Science · Physics and Astronomy · #Bipartite graph #Multipartite #Nonlinear system #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum system #Separable space #Separable state #Subadditivity #quant-ph

paper · pdf · doi:10.1007/s10946-014-9424-5

published as J Russ Laser Res (2014) 35: 278

arxiv created 2014/03/10 · openalex publication_date 2014/05/01 · openalex created_date 2016/06/24 · arxiv updated 2019/02/12 · openalex updated_date 2026/08/05

Abstract

New quantum entropic inequality for states of system of n >_ 1 qudits is obtained. The inequality has the form of quantum subadditivity condition of bipartite qudit system and coincides with this subadditivity condition for the system of two qudits. The general statement on existence of the subadditivity condition for arbitrary probability distribution and arbitrary qudit-system tomogram is formulated. The nonlinear quantum channels creating the entangled states from separable ones are discussed.

Citations

• Qubit portraits of qudit states and quantum correlations
• A Mathematical Theory of Communication
• Stochastic Dynamics of Quantum-Mechanical Systems
• Tomographic and Improved Subadditivity Conditions for Two Qubits and a Qudit with j = 3/2

Cited by

• 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
• Separability and Entanglement of a Spin-1 Particle
• Deformed Entropic and Information Inequalities forX-States of Two-Qubit and Single Qudit States