Multilevel superconducting circuits as two-qubit systems: Operations, state preparation, and entropic inequalities
E. O. Kiktenko, A. K. Fedorov, O. V. Man'ko, V. I. Man'ko
DOI 10.1103/PhysRevA.91.042312 · Physical Review A
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Abstract
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 Rényi entropies for the considered noncomposite quantum system.
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