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Generating W states with braiding operators

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arxiv 2007.05660 v2 pith:UD34BQAT submitted 2020-07-11 quant-ph hep-thmath-phmath.MPnlin.SI

classification quant-phhep-thmath-phmath.MPnlin.SI
keywords statesspacestatebraidingentangledoperatorsalgebrasbell
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Hidden Ising models from the generalized Yang-Baxter equation

    cond-mat.stat-mech 2026-05 unverdicted novelty 6.0 of 10

    Introduces a local multi-site spin-1/2 Hamiltonian that is free-fermionic with degeneracy from local conserved quantities, derived from a multi-site generalization of the Yang-Baxter equation using extraspecial 2-groups.

  2. Symmetries of the Generalized Yang--Baxter Equations

    nlin.SI 2026-06 unverdicted novelty 4.0 of 10

    Symmetries of generalized multi-site Yang-Baxter equations depend on site count and frequently outnumber those of the standard equation, heavily constraining inequivalent integrable models.

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