Implementation of quantum logic gates using coupled Bose-Einstein condensates

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.

References in corpus (9)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum Computing
• Nonlinear atom interferometer surpasses classical precision limit
• Atom chip based generation of entanglement for quantum metrology
• Squeezing and entanglement in a Bose-Einstein condensate
• Macroscopic quantum computation using Bose-Einstein condensates
• Radio-frequency dressing of multiple Feshbach resonances
• Quantum Computation with Diatomic Bits in Optical Lattices
• Dynamics of Two-Component Bose-Einstein Condensates Coupled with Environment

Cited by in corpus (2)

• Quantum dark soliton (qubits) in Bose Einstein condensates
• Protocol for nonlinear state discrimination in rotating condensate