Fast preparation of Bell state and W state with Rydberg superatom
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Fast preparation of Bell state and W state with Rydberg superatom Y. Q. Ji1
· Y. L. Liu2 · H. Li3 · X. J. Zhou4 · R. J. Xiao1 · L. Dong1 · X. M. Xiu1
Received: 1 July 2020 / Accepted: 30 October 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract In the paper, we propose a scheme for fast preparation of Bell state and W state based on quantum Zeno dynamics and shortcuts to adiabaticity with Rydberg superatom. The quantum information is encoded in the collective state of superatom which contains n individual ladder-type Rydberg atoms. When the Rabi frequencies of classical fields are appropriately regulated, the scheme can be achieved within one step. Moreover, the effects of imperfections induced by leakage of the cavity and atomic spontaneous emission are also taken into account. The numerical simulation result shows that this scheme is robust against both cavity leakage and atomic spontaneous emission. Keywords Entangled states · Quantum Zeno dynamics · Shortcuts to adiabaticity · Rydberg superatom
1 Introduction Acting as a good candidate for quantum information and quantum computing, neutral atoms have many advantages: for example, stable atomic hyperfine energy states are easily controllable and measurable by making use of a resonant laser pulse; in consequence, the neutral atoms are suited for encoding logic qubits. Beyond that,
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Y. Q. Ji [email protected] X. M. Xiu [email protected]
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College of Mathematics and Physics, Bohai University, Jinzhou 121013, China
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Ministry of Education Key Laboratory for Cross-Scale Micro and Nano Manufacturing, Changchun University of Science and Technology, Changchun 130022, China
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Institute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun 130052, China
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Key Laboratory for Photonic and Electronic Bandgap Materials, Ministry of Education, School of Physics and Electronic Engineering, Harbin Normal University, Harbin 150025, China 0123456789().: V,-vol
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when an atom is excited to Rydberg states, the atoms exhibit large dipole moments which leads to strong van der Waals or dipole–dipole interactions [1,2]. This interaction will significantly shift its surrounding atomic energy levels of Rydberg states, consequently inhibiting resonant optical excitation of multiple Rydberg states [3– 7], which is the so-called Rydberg blockade effect. Since two groups independently claimed that the mechanism of Rydberg blockade between a single Rydberg excited atom and a second one located about 4 µm and 10 µm apart have been observed in experiments [8,9], respectively, many schemes in quantum information processing are put forward, for instance, quantum simulators [10–12], quantum logic gate [13–17], quantum repeaters [18,19], quantum entanglement [20–26], and so on. However, for an ensemble that contains n Rydberg atoms, the relevant theoretical description is still a challenge, this is because the dimension of the ensembles increases exponential
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