q-Deformed three-level quantum logic

Abstract

Three-level information plays an important role in the quantum domain. However, q-deformed three-level quantum logic is missing. Here, we address this problem and following Schwinger representation and using q-deformed harmonic oscillators, we construct three-level quantum system (qutrits), as well as one-, two- and three-qutrit q-deformed quantum logic gates. We believe our findings have a potential to contribute to q-deformed quantum science and technology.