We show experimental procedures based on optical frequency combs and parametric processes able to produce quantum states of light involving large number of modes in the frequency and time domain. The protocols, along with mode selective and multimode homodyne measurements, allow for the implementation of reconfigurable entanglement connections between the involved modes. This can be exploited for fabricating entanglement structures with regular geometry as cluster states[1], which are considered a universal resource for continuous variables measurement-based quantum computing. Also graphs with more complex topology: recently, quantum complex networks, i.e. collections of quantum systems arranged in a non-regular topology, have been explored leading to significant progress in a multitude of diverse contexts including, e.g., quantum transport, open quantum systems, quantum communication, extreme violation of local realism, and quantum gravity theories.
[1] Y. Cai, J. Roslund, G. Ferrini, F. Arzani, X. Xu, C Fabre and N. Treps, Nature Communications 8, 15645 (2017)
[2] J.Nokkala, F. Arzani, F. Galve, R. Zambrini, S. Maniscalco, J. Piilo, N. Treps and V. Parigi, New Journal of Physics 20, 053024 (2018).
[3] M. Walschaers, C. Fabre, V. Parigi and N. Treps, Physical Review Letters 119, 183601 (2017).
[4] M. Walschaers, S. Sarkar, V. Parigi, and N. Treps, Phys. Rev. Lett. 121, 220501(2018)
[5] F. Arzani, A. Ferraro, and V. Parigi, Phys. Rev. A 99, 022342 (2019)
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