Measurement of 'closeness' and Distinguishability of the Quantum States in Yang-Baxter Systems


DURAN D.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.60, sa.8, ss.3087-3102, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 8
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s10773-021-04888-9
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Sayfa Sayıları: ss.3087-3102
  • Anahtar Kelimeler: Fidelity, Trace distance, Yang-Baxter equations, Hamiltonian systems, BODY PROBLEM, ENTANGLEMENT, TELEPORTATION, INEQUALITIES, COMPUTATION, FIDELITY
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

Under the actions of different Hamiltonians on the different two-qubit input states by using the quantum Yang-Baxterization approach, we investigate the behaviors of the fidelity and the trace distance as measures of 'closeness' and distinguishability of two quantum states. The results show that the fidelity that is the main figure of merit for any communication and computing process can be kept to high values depending on the choice of the initial states and the Hamiltonians constructed by the Yang-Baxter equation. On the other hand, by choosing the initial states and Yang-Baxter systems which are the various extensions of the Yang-Baxter equations for several matrices, these quantifiers can be adjusted as desired to achieve many quantum computing and computational tasks. Furthermore, to quantify the performance of quantum teleportation we examine the teleportation fidelity for the outputs that correspond to the different two-qubit X-type states under the actions of the different Hamiltonians. It is possible to obtain high fidelity to use the quantum teleportation process.