Algebraic structures of multipartite quantum systems
Hoshang Heydari
TL;DR
This paper explores the mathematical relationship between multilinear mappings and multipartite quantum states, providing a clear characterization of decomposable states through tensor product isomorphisms.
Contribution
It establishes a rigorous mathematical framework linking multilinear mappings to multipartite quantum states, enhancing understanding of their structure.
Findings
Multilinear mappings are isomorphic to tensor products in quantum systems.
Decomposable multipartite states are characterized by this isomorphism.
The work provides a mathematically precise description of multipartite state structure.
Abstract
We investigate the relation between multilinear mappings and multipartite states. We show that the isomorphism between multilinear mapping and tensor product completely characterizes decomposable multipartite states in a mathematically well-defined manner.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Quantum Information and Cryptography · Quantum Mechanics and Non-Hermitian Physics