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Yang–Baxter equation in all dimensions and universal qudit gates

  • A. Pourkia

摘要

Abstract

We construct solutions of the Yang–Baxter equation in any dimension \(d\ge 2\) by directly generalizing the previously found solutions for \(d=2\) . We equip those solutions with unitarity and entangling properties. Being unitary, they can be turned into \(2\) -qudit quantum logic gates for qudit-based systems. The entangling property enables each of those solutions, together with all \(1\) -qudit gates, to form a universal set of quantum logic gates.