arXiv:1007.3822

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

Hoshang Heydari

Published Jul 22, 2010• 0 citations

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.

DOI: 10.48550/arxiv.1007.3822

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