# Quantum entanglement, supersymmetry, and the generalized Yang-Baxter equation.

@article{Padmanabhan2020QuantumES, title={Quantum entanglement, supersymmetry, and the generalized Yang-Baxter equation.}, author={Pramod Padmanabhan and Fumihiko Sugino and Diego Trancanelli}, journal={Quantum Information and Computation}, year={2020} }

Entangled states, such as the Bell and GHZ states, are generated from separable states using matrices known to satisfy the Yang-Baxter equation and its generalization. This remarkable fact hints at the possibility of using braiding operators as quantum entanglers, and is part of a larger speculated connection between topological and quantum entanglement. We push the analysis of this connection forward, by showing that supersymmetry algebras can be used to construct large families of solutions…

## 4 Citations

Braiding quantum gates from partition algebras

- MathematicsQuantum
- 2020

A solution-generating technique is introduced to solve the $(d,m,l)$-generalized Yang-Baxter equation, for $m/2\leq l \leq m$, which allows to systematically construct families of unitary and non-unitary braiding operators that generate the full braid group.

Generating W states with braiding operators

- PhysicsQuantum Inf. Comput.
- 2020

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…

Yang-Baxter and the Boost: splitting the difference

- MathematicsSciPost Physics
- 2021

In this paper we continue our classification of regular solutions of
the Yang-Baxter equation using the method based on the spin chain boost
operator developed in [1]. We provide details on how to…

Introduction to classical and quantum integrability

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2022

In these lecture notes we aim for a pedagogical introduction to both classical and quantum integrability. Starting from Liouville integrability and passing through Lax pair and r-matrix we discuss…

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