Fast generations of tree-type three-dimensional entanglement via Lewis-Riesenfeld invariants and transitionless quantum driving

Abstract

Recently, a novel three-dimensional entangled state called tree-type entanglement, which is likely to have applications for improving quantum communication security, was prepared via adiabatic passage by Song et al. [Phys. Rev. A 93, 062321 (2016)]. Here we propose two schemes for fast generations of tree-type three-dimensional entanglement among three spatially separated atoms via shortcuts to adiabatic passage. With the help of quantum Zeno dynamics, two kinds of different but equivalent methods, Lewis-Riesenfeld invariants and transitionless quantum driving, are applied to construct shortcuts to adiabatic passage. The comparisons between the two methods are discussed. The strict numerical simulations show that the tree-type three-dimensional entangled states can be fast prepared with quite high fidelities and the two schemes are both robust against the variations in the parameters, atomic spontaneous emissions and the cavity-fiber photon leakages.

arXiv commentarXiv admin note: text overlap with arXiv:1605.06225

References in corpus (20)

• Three qubits can be entangled in two inequivalent ways
• Entanglement of Orbital Angular Momentum States of Photons
• Efficient classical simulation of slightly entangled quantum computations
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Shortcut to adiabatic passage in two and three level atoms
• Ultra-high-Q toroidal microresonators for cavity quantum electrodynamics
• Cavity QED with a Bose-Einstein condensate
• Violations of local realism by two entangled quNits are stronger than for two qubits
• Distributed quantum computation via optical fibres
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Efficient shortcuts to adiabatic passage for the fast populations transfer in multiparticle systems
• N-particle N-level singlet states: Some properties and applications
• Method for constructing shortcuts to adiabaticity by a substitute of counterdiabatic driving terms
• Shortcuts to adiabatic passage for multiqubit controlled phase gate
• Dissipative creation of three-dimensional entangled state in optical cavity via spontaneous emission
• Shortcuts to adiabatic passage for fast generation of three-atom singlet state by transitionless quantum driving
• Shortcuts to adiabatic passage for multiparticle in distant cavities: Applications to fast and noise-resistant quantum population transer, entangled states' preparation and transition
• Generation of three-dimensional entangled states between a single atom and a Bose-Einstein Condensate via adiabatic passage
• Deterministic SWAP gate using shortcuts to adiabatic passage
• Generation of three-dimensional entanglement between two spatially separated atoms via shortcuts to adiabatic passage