Related papers: Universal Braiding Quantum Gates

Universal Braiding Quantum Gates

URL: http://arxiv.org/abs/2304.00710v1
Date: Mon, 3 Apr 2023 04:03:23 GMT
Title: Universal Braiding Quantum Gates
Authors: David Lovitz
Abstract summary: Unitary solutions of the Yang-Baxter equation are of particular interest as quantum gates for topological quantum computers. We classify a family of solutions to certain generalized Yang-Baxter equations and prove that certain instances of the equation only have solutions that are scalar multiples of the identity.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The Yang-Baxter equation and it's various forms have applications in many fields, including statistical mechanics, knot theory, and quantum information. Unitary solutions of the braided Yang-Baxter equation are of particular interest as quantum gates for topological quantum computers. We demonstrate a simple construction for solutions in any dimension, which are both unitary and universal for quantum computation. We also fully classify a family of solutions to certain generalized Yang-Baxter equations and prove that certain instances of the equation only have solutions that are scalar multiples of the identity.

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