Deformed Entropic and Information Inequalities forX-States of Two-Qubit and Single Qudit States

2014/10/06 by V. I. Man'ko, V. I. Man’ko, L. A. Markovich +1
Computer Science · Physics and Astronomy · #Entropic uncertainty #Entropy (arrow of time) #Inequality #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum state #Quantum system #State (computer science) #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.1155/2015/717621

6 pages, 1 figure

arxiv created 2014/10/06 · openalex publication_date 2015/01/01 · arxiv updated 2016/04/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-deformed entropies of quantum and classical systems are discussed. Standard and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-deformed entropic inequalities for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:mi>X</mml:mi></mml:mrow></mml:math>-states of the two-qubit system and the state of single qudit with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>are presented.

Citations

• Generalized Qubit Portrait of the Qutrit-State Density Matrix
• Subadditivity Condition for Spin Tomograms and Density Matrices of Arbitrary Composite and Noncomposite Qudit Systems
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Entropic uncertainty relations—a survey
• Tomographic and Improved Subadditivity Conditions for Two Qubits and a Qudit with j = 3/2
• Quantum entanglement