Entropic inequalities for noncomposite quantum systems realized by superconducting circuits

  1. A.K. Fedorov,
  2. E.O. Kiktenko,
  3. O.V. Man'ko,
  4. and V.I. Man'ko
We study a class of entropic inequalities obtained for noncomposite quantum systems realized by a superconducting circuit with the Josephson junction. By using a mapping on a bipartite
quantum state, we discuss possible realizations of various quantum logic gates for noncomposite quantum systems. In this framework, we consider logN entropic inequalities for Shannon and R\’eniy entropies based on the quantum Fourier transform. Implementation of the quantum Fourier transform algorithm on a quantum processor based on superconducting circuits opens a way for experimental verification of these inequalities.