Quantum gates based on two strongly coupled harmonic oscillators in thermal non-equilibrium conditions

Abstract

We consider two strongly coupled harmonic oscillators (TSCHO) exposed by a bosonic bath in thermal non-equilibrium conditions (TNEC). To explain TNEC, we use the Tsallis statistics. To obtain the system's time evolution, we use the Liouville-von Neumann master equation. We find that the q-dependence of the entanglement of formation (EOF) gives EOFq<1 ≤ EOFq=1 ≤ EOFq>1.The effects of squeezing and coupling between two oscillators on EOF are analyzed. We apply our method to obtain the outputs of SWAP and CONT gates in TNEC exposed to the environment. We find that for different q-regions, the squeezing and hopping coefficients affect the amount of entanglement and its death slope after the CNOT-gate operation. © 2024 Elsevier B.V.