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arXiv · 1911.03628

Entangled States of Qutrit Bipartite System

Surajit Sen·Tushar Kanti Dey
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Abstract

We develop a systematic method to construct the Bell states of a qubit bipartite system while taking $SU(2)$ group as the basis group. An alternative formulation of fidelity, called $SU(2)$ fidelity, is proposed which gives the Bell-CHSH inequality. Taking analogy from the octet theory governed by the $SU(3)$ group, it is shown that the method can be easily generalized to derive all possible entangled states and the $SU(3)$ fidelity of the higher dimensional bipartite qutrit system. The properties of these states are studied which reveal the existence of some inequalities for the qutrit bipartite system.

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Surajit Sen, Tushar Kanti Dey. 2019-11-09. Entangled States of Qutrit Bipartite System. https://arxiv.org/abs/1911.03628

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