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arXiv:2610.16719

Realistic simulation of universal multiport interferometers with losses within a Gaussian formalism

Sebastiano Corli, Dario Chemoli, Samuele Altilia, Edoardo Suerra, Dario Tamascelli, Simone Cialdi, Enrico Prati

quant-phSubmitted Oct 12, 2026• Announced Oct 13, 2026• 0 citations
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Abstract

Photonic technologies are among the leading platform contenders for demonstrating quantum advantage. Nevertheless, photon losses represent the major hurdle for the realization of a fault-tolerant optical quantum computer, and the need for an accurate characterization of this phenomenon is crucial for classical simulations of quantum algorithms on noisy backends. The noisy regime would require the simulation of the algorithm on a Fock backend or rather assuming the a priori hypothesis on the uniformity of the optical losses, which may lead to wrong predictions about the outcome from the algorithm on a cerain hardware. We propose a Gaussian model that can reproduce a lossy dynamics through the experimental characterization of imperfect interferometers, yielding the corresponding mean vector and the covariance matrix. Such model can be adapted to any continuous-variable architecture (spatial or time-bin encoded) and for both the Gaussian boson sampling or general-dyne based algorithms. Eventually, we quantify the drift of optical losses from being uniform throughout the multiport interferometer by a numerical simulation. This work proposes a blueprint for future characterizations, tailor-suited for specific devices and architectures, as well as for potential error correction and mitigation techniques, and it paves the way for realistic simulations of quantum algorithms on NISQ optical platforms.

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Photonic technologies are among the leading platform contenders for demonstrating quantum advantage. Nevertheless, photon losses represent the major hurdle for the realization of a fault-tolerant optical quantum computer, and the need for an accurate characterization of this phenomenon is crucial for classical simulations of quantum algorithms on noisy backends. The noisy regime would require the simulation of the algorithm on a Fock backend or rather assuming the a priori hypothesis on the uniformity of the optical losses, which may lead to wrong predictions about the outcome from the algorithm on a cerain hardware. We propose a Gaussian model that can reproduce a lossy dynamics through the experimental characterization of imperfect interferometers, yielding the corresponding mean vector and the covariance matrix. Such model can be adapted to any continuous-variable architecture (spatial or time-bin encoded) and for both the Gaussian boson sampling or general-dyne based algorithms. Eventually, we quantify the drift of optical losses from being uniform throughout the multiport interferometer by a numerical simulation. This work proposes a blueprint for future characterizations, tailor-suited for specific devices and architectures, as well as for potential error correction and mitigation techniques, and it paves the way for realistic simulations of quantum algorithms on NISQ optical platforms.
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To understand quantum optics experiments, we must perform calculations that consider the principal sources of noise, such as losses, spectral impurity, and partial distinguishability. In both discrete and continuous variable systems, these can be modeled as mixed Gaussian states over multiple modes. The modes are not all resolved by photon-number measurements and so require calculations on coarse-grained photon-number distributions. Existing methods can lead to a combinatorial explosion in the time complexity, making this task unfeasible for even moderately sized experiments of interest. We prove that the computation of this type of distribution can be done in exponential time, providing a combinatorial speed-up. We develop numerical techniques that allow us to determine coarse-grained photon number distributions of Gaussian states, as well as density matrix elements of heralded non-Gaussian states prepared in the presence of spectral impurity and partial distinguishability. These results offer significant speed-up and accuracy improvements to validation tests of both Fock and Gaussian boson samplers that rely on binned probability distributions. Moreover, they pave the way to a more efficient simulation of realistic photonic circuits, unlocking the ability to perform exact calculations at scales that were previously out of reach. In addition, our results, including loop Hafnian master theorems, may be of interest to the fields of combinatorics and graph theory.