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Quantum Information Processing

Fast generation of GHZ state by designing the evolution operators with Rydberg superatom

J. P. Wang, L. P. Yang, Yan‐Qiang Ji, Y. L. Liu, L. Dong, Xiao‐Ming Xiu

Published Nov 18, 2024• 1 citation
Publisher
DOI
10.1007/s11128-024-04587-4

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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
Abstract W states play an important role in quantum information processing and quantum computing. Here, it proposes a scheme for preparing W states by designing the evolution operators with Rydberg superatoms. It encodes quantum information on the effective energy level of the superatom, and construct shortcuts to adiabatic passages (STAP) by designing the evolution operators. Combined with Quantum Zeno dynamics and STAP, it can prepare three‐particle W states quickly and efficiently. In addition, the Rabi frequency in this scheme can be described as a linear superposition of Gaussian functions, which reduces the difficulty of practical experiment. The numerical simulation shows that the scheme is robust against decoherence, operational imperfection, and noise. At last, it generalizes this scheme to preparation of N ‐particle W states.
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.