4.6 Article

Multilevel superconducting circuits as two-qubit systems: Operations, state preparation, and entropic inequalities

Journal

PHYSICAL REVIEW A
Volume 91, Issue 4, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.91.042312

Keywords

-

Funding

  1. RFBR
  2. Dynasty Foundation
  3. Council for Grants of the President of the Russian Federation [SP-961.2013.5]

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We theoretically study operations with a four-level superconducting circuit as a two-qubit system. Using a mapping on a two-qubit system, we show how to implement iSWAP gates and Hadamard gates through pulses on transitions between particular pairs of energy levels. Our approach allows one to prepare pure two-qubit entangled states with desired form of reduced density matrices of the same purity and, in particular, arbitrary identical reduced states of qubits. We propose using schemes for the Hadamard gate and two-qubit entangled states with identical reduced density matrices in order to verify logN inequalities for Shannon and Renyi entropies for the considered noncomposite quantum system.

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