Implementation of quantum logic gates using coupled Bose-Einstein condensates

TL;DR

This paper demonstrates how to implement single-qubit quantum gates using coupled Bose-Einstein condensates, analyzing their robustness and experimental feasibility based on a two-mode Hamiltonian model.

Contribution

It introduces a method to realize various quantum logic gates with coupled BECs, considering realistic effects and parameter variations.

Findings

Successful implementation of transfer-population and phase gates.

Analysis of gate robustness against physical parameter variations.

Feasibility assessment for experimental realization.

Abstract

In this work, we are interested on the implementation of single-qubit gates on coupled Bose-Einstein condensates (BECs). The system, a feasible candidate for a qubit, consists on condensed atoms of different hyperfine levels coupled by a two-photon transition. It is well established that the dynamics of coupled BECs can be described by the two-mode Hamiltonian which takes into account the confinement potential of the trap and the effects of collisions associated with each condensate. Other effects, as collisions between atoms belonging to different BECs and detuning are included in this approach. We demonstrate how to implement two types of quantum logic gates: \textit{transfer-population} gates (NOT, $\hat{Y}$, and Hadamard), which require inversion of population between hyperfine levels, and \textit{phase} gates ($\hat{Z}$, $\hat{S}$, and $\hat{T}$), which require self-trapping. We also discuss the experimental feasibility, checking the robustness of quantum gates against variations of physical parameters out of the ideal conditions for implementation of each quantum logic gate.