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Journal Articles Physical Review A : Atomic, molecular, and optical physics [1990-2015] Year : 2017

Polynomial approximation of non-Gaussian unitaries by counting one photon at a time

Abstract

In quantum computation with continous-variable systems, quantum advantage can only be achieved if some non-Gaussian resource is available. Yet, non-Gaussian unitary evolutions and measurements suited for computation are challenging to realize in the lab. We propose and analyze two methods to apply a polynomial approximation of any unitary operator diagonal in the amplitude quadrature representation, including non-Gaussian operators, to an unknown input state. Our protocols use as a primary non-Gaussian resource a single-photon counter. We use the fidelity of the transformation with the target one on Fock and coherent states to assess the quality of the approximate gate.

Dates and versions

hal-01546054 , version 1 (23-06-2017)

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Francesco Arzani, Nicolas Treps, Giulia Ferrini. Polynomial approximation of non-Gaussian unitaries by counting one photon at a time. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2017, 95 (5), pp.052352. ⟨10.1103/PhysRevA.95.052352⟩. ⟨hal-01546054⟩
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