q-Deformed three-level quantum logic

Altintas A. A., Ozaydin F., Bayındır C.

QUANTUM INFORMATION PROCESSING, vol.19, no.8, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 8
  • Publication Date: 2020
  • Doi Number: 10.1007/s11128-020-02755-w
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Compendex, INSPEC, zbMATH
  • Keywords: q-deformation, Qutrit, Quantum logic, Quantum gate, HARMONIC-OSCILLATOR, Q-ANALOG, STATES, MODEL, GATES, DYNAMICS, ALGEBRA, FUSION, FORM
  • Istanbul University Affiliated: No


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.