Quantum strong subadditivity condition for systems without subsystems

Abstract

The strong subadditivity condition for the density matrix of a quantum system, which does not contain subsystems, is derived using the qudit-portrait method. An example of the qudit state in the seven-dimensional Hilbert space corresponding to spin j = 3 is presented in detail. New entropic inequalities in the form of subadditivity condition and strong subadditivity condition for spin tomograms determining the qudit states are obtained and given on examples of j = 2 and 3.

9 pages, submitted to Journal of Physics: Conference Series

References in corpus (2)

• A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and Concavity
• Qubit-portraits of qudit states and quantum correlations

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