Quantum entangled state, resolution of conifold singularity, and toric variety

Hoshang Heydari

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arXiv · 1007.3822

Quantum entangled state, resolution of conifold singularity, and toric variety

Hoshang Heydari

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Abstract

We investigate the geometrical and combinatorial structures of multipartite quantum systems based on conifold and toric variety. In particular, we study the relations between resolution of conifold, toric variety, a separable state, and a quantum entangled state for bipartite and multi-qubit states. For example we show that the resolved or deformed conifold is equivalent with the space of a pure entangled two-qubit state. We also generalize this result into multi-qubit states.

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Hoshang Heydari. 2010-07-22. Quantum entangled state, resolution of conifold singularity, and toric variety. https://arxiv.org/abs/1007.3822

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