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Journal of Physics B Atomic Molecular and Optical Physics

Conditional STIRAP based on Rydberg blockade: entanglement fidelities in three- and four-level schemes

Daniel Cano

Published Jan 22, 2021• 2 citations
Publisher

Abstract

Abstract This paper investigates the generation of quantum entanglement by means of conditional stimulated Raman adiabatic passage (STIRAP) based on Rydberg blockade. The paper compares the entanglement fidelities in three-level and four-level schemes and analyzes the adiabatic conditions in both cases. In particular, Green–Horne–Zeilinger states can be deterministically generated in an atomic ensemble interacting with a single control atom.

DOI
10.1088/1361-6455/abdf18

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Rydberg atoms based mesoscopic CNOTN\text{CNOT}^{\text{N}}CNOTN gate using STIRAP
Schemes for implementation of CNOT gates in atomic ensembles are important for realization of quantum computing. Here, a theoretical scheme for a CNOTN\text{CNOT}^{\text{N}}CNOTN gate implemented on a target ensemble of N, Λ\LambdaΛ three-level Rydberg atoms and a single Rydberg atom as a control using Stimulated Raman Adiabatic Passage (STIRAP) is presented. We work in the Rydberg blockade regime for the ensemble atoms induced due to excitation of the control atom to a high lying Rydberg level. It is shown that using STIRAP, atoms from one ground state of the ensemble can be adiabatically transferred to the other ground state, depending on the state of the control atom, with high fidelity. A thorough analysis of adiabatic conditions for this scheme and the influence of radiative decay from the excited Rydberg levels is provided. We show that the CNOTN\text{CNOT}^{\text{N}}CNOTN process is immune to the decay rate of the excited level in ensemble atoms.
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Abstract We propose a mechanism of ground-state antiblockade of Rydberg atoms, which is then exploited to prepare two-atom entangled state via three different kinds of pulses. First we use the pulses in the form of sin2 and cos2 functions and obtain a maximally entangled state at an accurate interaction time. Then the method of stimulated Raman adiabatic passage (STIRAP) is adopted for the entanglement generation, which is immune to the fluctuations of revelent parameters but requires a long time. Finally we capitalize the advantages of the former two methods and employ shortcuts to adiabatic passage (STAP) to generate the maximal entanglement. The strictly numerical simulation reveals that the current scheme is robust against spontaneous emission of atoms due to the virtual excitation of Rydberg states, and all of the above methods favor a high fidelity with the present experimental technology.
Abstract We review methods for coherently controlling Rydberg quantum states of atomic ensembles using adiabatic rapid passage and stimulated Raman adiabatic passage. These methods are commonly used for population inversion in simple two-level and three-level systems. We show that adiabatic techniques allow us to control population and phase dynamics of complex entangled states of mesoscopic atomic ensembles for quantum information processing with Rydberg atoms. We also propose several schemes of single-qubit and two-qubit gates based on adiabatic passage, Rydberg blockade and Förster resonances in Rydberg atoms.
Inspired by a recently experiment by M. Lettner et al. [Phys. Rev. Lett. 106, 210503 (2011)], we propose a robust scheme to prepare three-dimensional entanglement state between a single atom and a Bose-Einstein condensate (BEC) via stimulated Raman adiabatic passage (STIRAP) technique. The atomic spontaneous radiation, the cavity decay, and the fiber loss are efficiently suppressed by the engineering adiabatic passage. Our strictly numerical simulation shows our proposal is good enough to demonstrate the generation of three-dimensional entanglement with high fidelity and within the current experimental technology.