Abstract

Photonic platforms represent a promising technology for the realization of several quantum communication protocols and for experiments of quantum simulation. Moreover, large-scale integrated interferometers have recently gained a relevant role in quantum computing, specifically with Boson Sampling devices and the race for quantum supremacy. Indeed, various linear optical schemes have been proposed for the implementation of unitary transformations, each one suitable for a specific task. Notwithstanding, so far a comprehensive analysis of the state of the art under broader and realistic conditions is still lacking. In the present work we fill this gap, providing in a unified framework a quantitative comparison of the three main photonic architectures, namely the ones with triangular and square designs and the so-called fast transformations. All layouts have been analyzed in presence of losses and imperfect control over the internal reflectivities and phases, showing that the square design outperforms the triangular scheme in most operational conditions. Our results represent a further step ahead towards the implementation of quantum information protocols on large-scale integrated photonic devices.

Highlights

  • Several milestone achievements in experimental quantum information are pushing the limits of integrated photonic technologies in numerous relevant applications

  • Second scheme, inspired by the classical algorithm of Cooley and Tukey[40] for the fast Fourier transform, has been proposed in refs[41,42] and implemented experimentally in refs[43,44,45,46] by exploiting the three-dimensional capabilities of femtosecond laser micromachining[47,48]. This layout, though not supporting arbitrary unitary evolutions, allows to implement a significant class of linear optical networks with a substantial reduction in the number of necessary optical elements. Such class of matrices includes the Hadamard ones, with a notable example provided by the Fourier transformation that is widely employed in a large set of quantum information protocols[49,50]

  • A new algorithm (C) for the decomposition of arbitrary unitary transformations has been introduced by Clements et al.[39], which basically presents a higher resilience against propagation losses thanks to the compact and fully symmetric design

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Summary

Introduction

Several milestone achievements in experimental quantum information are pushing the limits of integrated photonic technologies in numerous relevant applications. While keeping the same number of optical elements and the capability of implementing an arbitrary unitary transformation, this scheme presents reduced sensitivity to losses within the interferometer.

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