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

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

2010-07-22

arxiv.org/abs/1007.3822v1

Physics

Quantum Physics

9 pages, 3 figures

Scientific paper

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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