Topological quantum gate entangler for a multi-qubit state

Details Topological quantum gate entangler for a multi-qubit state Topological quantum gate entangler for a multi-qubit state

2007-02-02

arxiv.org/abs/quant-ph/0702015v1

J. Phys. A: Math. Theor. 40 (2007) 9877 - 9882

Physics

Quantum Physics

6 pages

Scientific paper

10.1088/1751-8113/40/32/012

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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