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The European Physical Journal Plus

Fast generation of GHZ state with Rydberg superatom by transitionless quantum driving

L. P. Yang, J. P. Wang, Yan‐Qiang Ji, Jian Wang, Z. M. Zhang, Y. L. Liu, Li Dong, Xiao‐Ming Xiu

Published Jul 19, 2024• 6 citations
Publisher
DOI
10.1140/epjp/s13360-024-05450-2

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Multiparticle entanglement has important applications in quantum information and quantum computing. Here, we propose two schemes to fuse large-scale entangled W states and GHZ states. In the first fusion scheme, we send two Rydberg superatoms that belong to an n particle W state and an m particle W state, respectively, into a vacuum cavity; an ( n + m −2) particle W state can be obtained by detecting the state of the superatoms after the interaction. In the second fusion scheme, we send two Rydberg superatoms into two separate cavities; with the assistance of a circularly polarized photon, we can obtain a ( k + l ) particle GHZ state after detecting the state of the photon. The numerical simulation analysis shows that both schemes are robust against the spontaneous emission of superatoms and the decay of the cavity. The feasibility analysis indicates that these two schemes can be realized in experiments.

Journal of the Optical Society of America B•Nov 22, 2023•7 citations
Entangled states are of significant importance in the realms of quantum communication and quantum information processing. Fusion technology has been proven as a viable method to prepare large-size entangled states from two or more small-size entangled states in a quantum electrodynamics (QED) system. However, most fusion schemes in QED systems require precise control over the evolution time, thereby amplifying the difficulty in the experiment. Therefore, it is of great importance to find a scheme to fuse entangled states in a QED system without requiring precise control over the evolution time. In this study, we propose a fusion scheme to efficiently prepare large-scale entangled states by transitionless quantum driving (TQD) with Rydberg superatoms. We position an ultracold ensemble of n individual ladder-type Rydberg atoms within the blockade sphere, thereby forming a superatom. Subsequently, we encode quantum information onto the collective state of the Rydberg superatoms. Through the combined use of quantum Zeno dynamics and TQD, the scheme enables the fast fusion of an m -qubits W (GHZ) state and an n -qubits W (GHZ) state into a ( m + n −2)-qubits W (GHZ) state without the requirement for precise control over the evolution time. Moreover, the impact of decoherence factors, operational imperfection, and noise on fidelity is taken into account. Numerical simulations suggest that the proposed method demonstrates high fidelity.
Multiparticle entanglement has important applications in quantum information and quantum computing. Here, we propose two schemes to fuse large-scale entangled W states and GHZ states. In the first fusion scheme, we send two Rydberg superatoms that belong to an n particle W state and an m particle W state, respectively, into a vacuum cavity; an ( n + m −2) particle W state can be obtained by detecting the state of the superatoms after the interaction. In the second fusion scheme, we send two Rydberg superatoms into two separate cavities; with the assistance of a circularly polarized photon, we can obtain a ( k + l ) particle GHZ state after detecting the state of the photon. The numerical simulation analysis shows that both schemes are robust against the spontaneous emission of superatoms and the decay of the cavity. The feasibility analysis indicates that these two schemes can be realized in experiments.