An inequality for entangled qutrits in SU(3) basis

It is well known from the representation theory of particle physics that the tensor product of two fundamental representation of SU(2) and SU(3) group can be decomposed to obtain the desired spectrum of the physical states. In this paper, we apply this tenet in case of two non-local qubits and qutri...

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Bibliographic Details
Published in:Quantum information processing 2024-07, Vol.23 (7), Article 267
Main Authors: Sen, Surajit, Dey, Tushar Kanti
Format: Article
Language:English
Subjects:
Data Structures and Information Theory
Entangled states
Mathematical Physics
Particle physics
Physics
Physics and Astronomy
Quantum Computing
Quantum entanglement
Quantum Information Technology
Quantum Physics
Qubits (quantum computing)
Spintronics
Tensors
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Summary:It is well known from the representation theory of particle physics that the tensor product of two fundamental representation of SU(2) and SU(3) group can be decomposed to obtain the desired spectrum of the physical states. In this paper, we apply this tenet in case of two non-local qubits and qutrits, which leads the complete spectrum of their entangled states in their respective basis. For qutrit system, the study of their properties reveals the existence of a new 2 inequality, in addition to usual Bell-CHSH type 2 2 inequality, which is significant from the experimental point of view.
ISSN:1573-1332
1570-0755
1573-1332
DOI:10.1007/s11128-024-04477-9