Topological quantum gate entangler for a multi-qubit state
arXiv:quant-ph/0702015 · doi:10.1088/1751-8113/40/32/012
Abstract
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 topological operators that can entangle multi-qubit state. In particular we construct operators that create quantum entanglement for multi-qubit states based on the Segre ideal of complex multi-projective space. We also in detail discuss and construct these operators for two-qubit and three-qubit states.
6 pages