Generating W states with braiding operators

• URL: http://arxiv.org/abs/2007.05660v2
• Date: Tue, 17 Nov 2020 06:38:43 GMT
• Title: Generating W states with braiding operators
• Authors: Pramod Padmanabhan, Fumihiko Sugino, Diego Trancanelli
• Abstract summary: Braiding operators can be used to create entangled states out of product states. We present a unitary Yang-Baxter operator that embeds the W$_n$ state in a $(2n-1)$-qubit space.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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