Separability of heterogeneous multipartite quantum systems using Bloch Vectors

Separability of heterogeneous multipartite quantum systems using Bloch Vectors

Refining recent results, we propose an upper bound for the norms of Bloch Vectors for heterogeneous quantum systems containing an arbitrary number of qudits with possibly different numbers of levels. We also generalize recent approaches for tripartite and four-partite heterogeneous systems and for m...

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Bibliographic Details
Published in:Quantum information processing Vol. 19; no. 6
Main Authors: Tănăsescu, Andrei, Popescu, Pantelimon George
Format: Journal Article
Language:English
Published: New York Springer US 01-06-2020
Springer Nature B.V
Subjects:
Data Structures and Information Theory
Mathematical analysis
Mathematical Physics
Norms
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Quantum theory
Spintronics
Upper bounds
Vectors (mathematics)
Separability
Bloch Vectors
Entanglement
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Summary:Refining recent results, we propose an upper bound for the norms of Bloch Vectors for heterogeneous quantum systems containing an arbitrary number of qudits with possibly different numbers of levels. We also generalize recent approaches for tripartite and four-partite heterogeneous systems and for multipartite homogeneous systems. Our results imply a necessary algebraic condition for separability of a general multipartite heterogeneous quantum system under arbitrary partitioning.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-020-02668-8