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Stellar representation of quantum computations
Ulysse Chabaud - Caltech
Wednesday, September 7, 2022, 11:00 am-12:00 pm Calendar
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We study the stellar representation of quantum computations, based on holomorphic functions, which delineates the boundary between discrete- and continuous-variable quantum information theory. This representation provides an elegant characterization of non-Gaussian quantum states that are resourceful for bosonic quantum computing: in the single-mode case, the evolution of a single bosonic mode under a Gaussian Hamiltonian can be described using a dynamical system of classical particles corresponding to the non-Gaussian zeros of the holomorphic function; in the multimode case, this holomorphic representation also induces a faithful and robust non-Gaussian hierarchy of quantum states. From this representation, we obtain a classification of subuniversal bosonic models that are generalisations of Boson Sampling and Gaussian quantum computing.

arXiv:2111.00117, joint work with Saeed Mehraban.

This talk is organized by Andrea F. Svejda