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8 papers · 2 filters
A class of entanglement monotones for general pure multipartite states based on complex projective variety
Hoshang Heydari
We construct a measure of entanglement for general pure multipartite states based on Segre variety. We also construct a class of entanglement monotones based on the Plücker coordin…
Analysis of the generation of photon pairs in periodically poled lithium niobate
Jonas Soderholm, Keiichi Hirano, Shigehiko Mori +2
The process of spontaneous parametric down-conversion (SPDC) in nonlinear crystals makes it fairly easy to generate entangled photon states. It has been known for some time that th…
Berry's phases and topological properties in the Born-Oppenheimer approximation
Kazuo Fujikawa
The level crossing problem is neatly formulated by the second quantized formulation, which exhibits a hidden local gauge symmetry. The analysis of geometric phases is reduced to a…
Entanglement monotones for multi-qubit states based on geometric invariant theory
Hoshang Heydari
We construct entanglement monotones for multi-qubit states based on Plücker coordinate equations of Grassmann variety, which are central notion in geometric invariant theory. As an…
Concurrence classes for general pure multipartite states
Hoshang Heydari
We propose concurrence classes for general pure multipartite states based on an orthogonal complement of a positive operator valued measure on quantum phase. In particular, we cons…
Quantum entanglement and wedge product
Hoshang Heydari
In this paper, I will derive a measure of entanglement that coincides with the generalized concurrence for a general pure bi-and three-partite state based on wedge product. I will…