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arXiv · 2007.05660

Generating W states with braiding operators

Pramod Padmanabhan·Fumihiko Sugino·Diego Trancanelli
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Abstract

Braiding operators can be used to create entangled states out of product states, thus establishing a correspondence between topological and quantum entanglement. This is well-known for maximally entangled Bell and GHZ states and their equivalent states under Stochastic Local Operations and Classical Communication, but so far a similar result for W states was missing. Here we use generators of extraspecial 2-groups to obtain the W state in a four-qubit space and partition algebras to generate the W state in a three-qubit space. We also present a unitary generalized Yang-Baxter operator that embeds the W$_n$ state in a $(2n-1)$-qubit space.

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Pramod Padmanabhan, Fumihiko Sugino, Diego Trancanelli. 2020-07-11. Generating W states with braiding operators. https://doi.org/10.26421/qic20.13-14

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