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Quantum Information Processing

Entanglement and separability of graph Laplacian quantum states

  • 01-04-2022
Published in:
Authors
Anoopa Joshi
Parvinder Singh
Atul Kumar
Published in
Quantum Information Processing | Issue 4/2022

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Abstract

The article delves into the intricate relationship between entanglement and separability in graph Laplacian quantum states, focusing on multi-qubit systems. It leverages graph-theoretical interpretations to address the complexities of entanglement in multi-particle networks, particularly in weighted, block, and star graphs. The study introduces conditions for the Laplacian of weighted graphs to be positive semi-definite and explores the implications for entanglement and separability in quantum states. The analysis highlights interesting conditions to characterize entanglement properties, such as the relationship between graph structure and quantum state entanglement. The article concludes by emphasizing the importance of these findings for effectively addressing entanglement and separability problems in various types of graphs, offering a valuable contribution to the field of quantum information science.
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previous article Quantum Byzantine Agreement for Any Number of Dishonest Parties
next article Euclidean and hyperbolic asymmetric topological quantum codes
Title
Entanglement and separability of graph Laplacian quantum states
Authors
Anoopa Joshi
Parvinder Singh
Atul Kumar
Publication date
01-04-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 4/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03483-z
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