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N00N State Generation by Floquet Engineering

Author

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  • Yusef Maleki

    (Institute of Quantum Science and Engineering, Department of Physics and Astronomy, Texas A&M University, College Station, TX 77843-4242, USA)

Abstract

We review quantum architectures for engineering the N00N state, a bipartite maximally entangled state essential in quantum metrology. These schemes transform the initial state | N ⟩ ⊗ | 0 ⟩ into the N00N state, 1 2 ( | N ⟩ ⊗ | 0 ⟩ + | 0 ⟩ ⊗ | N ⟩ ) , where | N ⟩ and | 0 ⟩ are Fock states with N and 0 excitations, respectively. We demonstrate that this state can be generated through superpositions of quantum light modes, hybrid light–matter interactions, or spin ensembles. Our approach also enables the creation of mesoscopic and macroscopic entangled states, including entangled coherent and squeezed states. Furthermore, we show that a broad class of maximally entangled states can be realized within this framework. Extensions to multi-mode state engineering are also explored.

Suggested Citation

  • Yusef Maleki, 2025. "N00N State Generation by Floquet Engineering," Mathematics, MDPI, vol. 13(10), pages 1-28, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:10:p:1667-:d:1659359
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    References listed on IDEAS

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    1. Xiaobo Zhu & Shiro Saito & Alexander Kemp & Kosuke Kakuyanagi & Shin-ichi Karimoto & Hayato Nakano & William J. Munro & Yasuhiro Tokura & Mark S. Everitt & Kae Nemoto & Makoto Kasu & Norikazu Mizuochi, 2011. "Coherent coupling of a superconducting flux qubit to an electron spin ensemble in diamond," Nature, Nature, vol. 478(7368), pages 221-224, October.
    2. Sisi Zhou & Mengzhen Zhang & John Preskill & Liang Jiang, 2018. "Achieving the Heisenberg limit in quantum metrology using quantum error correction," Nature Communications, Nature, vol. 9(1), pages 1-11, December.
    3. Gregor Jotzu & Michael Messer & Rémi Desbuquois & Martin Lebrat & Thomas Uehlinger & Daniel Greif & Tilman Esslinger, 2014. "Experimental realization of the topological Haldane model with ultracold fermions," Nature, Nature, vol. 515(7526), pages 237-240, November.
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