Numerical studies of entangled PPT states in composite quantum systems
Jon Magne Leinaas, Jan Myrheim, Per Oyvind Sollid
TL;DR
This paper presents numerical analysis of entangled PPT states in low-dimensional bipartite quantum systems, identifying extremal states and exploring rank bounds, revealing regularities across different system sizes.
Contribution
It introduces a systematic numerical approach to identify extremal PPT states with specific ranks and analyzes their properties across various low-dimensional systems.
Findings
Identified extremal PPT states at specific ranks
Discovered regularities in PPT states across different dimensions
Established bounds on ranks of extremal PPT states
Abstract
We report here on the results of numerical searches for PPT states with specified ranks for density matrices and their partial transpose. The study includes several bipartite quantum systems of low dimensions. For a series of ranks extremal PPT states are found. The results are listed in tables and charted in diagrams. Comparison of the results for systems of different dimensions reveal several regularities. We discuss lower and upper bounds on the ranks of extremal PPT states.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Mechanics and Applications · Quantum Computing Algorithms and Architecture