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Quantum Information Processing

Lorentz invariants of pure three-qubit states

  • 01-07-2024
Published in:
Authors
A. R. Usha Devi
Sudha
H. Akshata Shenoy
H. S. Karthik
B. N. Karthik
Published in
Quantum Information Processing | Issue 7/2024

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Abstract

The article delves into the application of Lorentz invariants to study pure three-qubit states in quantum information processing. It highlights the complexity and richness of multipartite entanglement, particularly focusing on the geometric properties and invariants under local symmetry operations. The authors extend the mathematical framework of Ref. [38] to construct Lorentz invariants of pure three-qubit states, uncovering intriguing relationships between these invariants and entanglement measures such as concurrence and three-tangle. The work is illustrated with examples of permutation symmetric three-qubit states, demonstrating the practical utility of the proposed framework. Furthermore, the article introduces a set of five local SL(2,C) invariants, which serve as algebraic counterparts to the existing LU invariants, providing a comprehensive toolkit for entanglement characterization.
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previous article Tree-based quantum anonymous ranking protocol
next article A new attack resistant encryption method based on hybrid chaotic-quantum key distribution (CQKD)
Title
Lorentz invariants of pure three-qubit states
Authors
A. R. Usha Devi
Sudha
H. Akshata Shenoy
H. S. Karthik
B. N. Karthik
Publication date
01-07-2024
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2024
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-024-04454-2
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