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arxiv: quant-ph/0702015 · v1 · submitted 2007-02-02 · 🪐 quant-ph

Topological quantum gate entangler for a multi-qubit state

classification 🪐 quant-ph
keywords multi-qubitconstructoperatorsquantumstatetopologicalentanglementstates
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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.

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