Qutrit Concurrence and Monogamy Edyharto Yanuwar, Jusak Sali Kosasih
Theoretical Physics Laboratory, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha 10, Bandung 40132, Indonesia
Abstract
It is well known that entanglement is one of many distinctive aspects of the quantum world. The measurement and quantification of entanglement is one of the major problems in understanding and applying this resource. The purpose of this research is to investigate the entanglement measures and their properties in high-dimensional systems. One such property is entanglement monogamy, viz. quantum correlations are not shareable, different from the classical ones. On the other hand, the study of entanglement depends on the definitions of its measure. Here we examine the applicability of concurrence, an entanglement measure known for its effectiveness in the entanglement analysis of qubits. While the entanglement of two-level systems or qubits is widely understood, its extension to higher dimensions remains challenging. Our research establishes equivalence between different concurrence measures for bipartite qubit pure states, as well as extending them to qutrits and qudits. Next, we look into the monogamy relations of these measurements to explore their characteristics. Especially, we define the measures as functions of the superposition coefficients for specific states. This approach might enhance our comprehension of quantum traits in qutrit systems and advance our understanding of entanglement in broader quantum contexts.
