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Quantum Foundations

Generating W states with braiding operators

arXiv

Authors: Pramod Padmanabhan, Fumihiko Sugino, Diego Trancanelli

Year

2020

Paper ID

22313

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

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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This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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Braiding operators can be used to create entangled states out of product states, thus establishing a correspondence between topological and quantum entanglement.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2007.05660 [2] arXiv https://arxiv.org/abs/2007.05660 [3] Publisher https://arxiv.org/abs/2007.05660

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