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In this work, we study the generation of non-Gaussian quantum states of light using multimode quantum resources. We first propose a theoretical framework to describe photon subtraction operation - a well known non-Gaussian operation - applied to a multimode Gaussian state. We apply this framework to the case of Schrödinger kitten state generation using a multimode squeezed vacuum as input state. We show that a monomode non-Gaussian state with high purity can be generated by a better choice of the different experimental parameters. Then, we propose a new protocol to generate high amplitude non-Gaussian states using spectral multiplexing of input states and Gaussian operations. We show that this protocol can implement the cat breeding operation with less complexity. We show also that this protocol can be used for the generation of approximated GKP state.
M. F. Melalkia,J. Huynh,L. Brunel,S. Tanzilli,V. D’Auria, andJ. Etesse
"Optical quantum state engineering with multimode resources: between a drawback to be circumvented and an advantage to be exploited", Proc. SPIE 12133, Quantum Technologies 2022, 1213309 (31 May 2022); https://doi.org/10.1117/12.2621373
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M. F. Melalkia, J. Huynh, L. Brunel, S. Tanzilli, V. D’Auria, J. Etesse, "Optical quantum state engineering with multimode resources: between a drawback to be circumvented and an advantage to be exploited," Proc. SPIE 12133, Quantum Technologies 2022, 1213309 (31 May 2022); https://doi.org/10.1117/12.2621373