New inequality for density matrices of single qudit states

Abstract

Using the monotonity of relative entropy of composite quantum systems we obtain new entropic inequalities for arbitrary density matrices of single qudit states. Example of qutrit state inequalities and the "qubit portrait" bound for the distance between the qutrit states are considered in explicit form.

6 pages

References in corpus (7)

• A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and Concavity
• Quantum strong subadditivity condition for systems without subsystems
• Remainder Terms for Some Quantum Entropy Inequalities
• Tomographic and improved subadditivity conditions for two qubits and qudit with j = 3=2
• Qubit-portraits of qudit states and quantum correlations
• Minkovskii-type inequality for arbitrary density matrix of composite and noncomposite systems
• The maps of matrices and portrait maps of density operators of composite and noncomposite systems

Cited by in corpus (7)

• Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits
• Pseudomode approach and vibronic non-Markovian phenomena in light harvesting complexes
• No signaling and strong subadditivity condition for tomographic q-entropy of single qudit states
• Non-Markovian evolution of multi-level system interacting with several reservoirs. Exact and approximate
• Deformed entropy and information relations for composite and noncomposite systems
• New Minkowski type inequalities and entropic inequalities for quantum states of qudits
• New information and entropic inequalities for Clebsch-Gordan coefficients