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Complex projective scheme approach to the geometrical structures of multipartite quantum systems
Hoshang Heydari
In this paper, I will discuss the geometrical structures of multipartite quantum systems based on complex projective schemes. In particular, I will explicitly construct multi-qubit…
General multipartite entangled states and complex projective variety
Hoshang Heydari
We discuss and investigate the geometrical structure of general multipartite states. In particular, we show that a geometrical measure of entanglement for general multipartite stat…
Algebraic structures of multipartite quantum systems
Hoshang Heydari
We investigate the relation between multilinear mappings and multipartite states. We show that the isomorphism between multilinear mapping and tensor product completely characteriz…
Toric varieties: Simple combinatorial and geometrical structure of multipartite quantum systems
Hoshang Heydari
We investigate the geometrical structure of multipartite states based on the construction of toric varieties. We show that the toric variety represents the space of general pure st…
Quantum gate entangler for general multipartite systems
Hoshang Heydari
We construct quantum gate entangler for general multipartite states based on topological unitary operators. We show that these operators can entangle quantum states if they satisfy…
Topological quantum gate entangler for a multi-qubit state
Hoshang Heydari
We establish a relation between topological and quantum entanglement for a multi-qubit state by considering the unitary representations of the Artin braid group. We construct topol…