Periodic Reporting for period 1 - FrEQuMP (Frequency-encoded quantum multi-photon interference devices)
Período documentado: 2019-12-01 hasta 2021-11-30
Gaussian boson sampling is a variant on Boson Sampling which replaces the single photon inputs with 'squeezed' light - highly non-classical states which are readily generated using nonlinear optics. Gaussian boson sampling exhibits a quantum advantage, and has a variety of useful applications - these include calculating the vibronic spectra of molecules, and identifying densely connected sub-graphs in networks. Hence Gaussian boson sampling is a practical and useful model for near-term quantum computation. However, current implementations based on free-space optics are bulky, labour-intensive to align, and lack programmability. Approaches based on integrated photonics offer compactness and the potential for programmability, but they are currently limited by lossy components.
This project aims to develop compact and programmable approaches which can quickly and practically be scaled to a useful size - with a focus on frequency-encoding of information onto photons, to reduce the number of separate components required. By leveraging the frequency entanglement generated by a single squeezed-light source powered by a short pump laser, complex multi-mode states can be generated without the need for a large optical circuit. Further, applying pulse-shaping techniques to the pump pulse adds control over the generated state without the need to manipulate the actual quantum light - and hence avoids introducing loss and other imperfections. An experimental demonstration verified the quantum interference between 8 photons distributed across 16 frequency channels - the largest such experiment to be performed in frequency-encoding. The use of commercially available components in a compact setup will make this scheme convenient to scale to still larger experiments.
Another focus has been understanding the classical complexity of Gaussian boson sampling - when assessing the advantage achieved by quantum devices, they are often compared to a simulation on classical hardware, so it is important to have an accurate idea of the classical runtime. New classical algorithms were developed for the simulation of Gaussian boson sampling outperforming previous efforts by nine orders of magnitude, which were benchmarked on high-performance computing hardware up to a scale of 100 modes - comparable to the largest experiments. This will be valuable in assessing and verifying future experiments.
Gaussian boson sampling experiments were performed combining squeezed quantum light with a classical coherent state for the first time, a necessary step for some applications, and new methods of characterising the resulting state were developed. The experiment made use of a 15-mode interferometer on a silicon photonic chip, developed with researchers at Sun Yat-sen University. An article based on these results is in preparation.
An algorithm was developed for classical simulation of Gaussian boson sampling with a run-time scaling quadratically faster than previous algorithms. This was published in PRX Quantum 3, 010306 (2022). Further advances were made speeding up calculations when multiple photons arrive at the same detector, a characteristic of current large-scale experiments. In collaboration with researchers at the University of Bristol and Hewlett Packard Enterprise, this algorithm was benchmarked on a high-performance computer, generating samples as large as 92 photons across 100 modes. This work has been accepted for publication in Science Advances.
To date this has reached a scale of 16 frequency channels. While smaller than the 100 modes achieved by free-space optics, the experimental setup is far more compact and less labour intensive to align, consisting entirely of commercially available components. This will make it easier to reproduce and accelerate scaling. Work on Gaussian boson sampling in silicon photonic circuits has also pushed the state of the art by combining quantum and classical light for the first in such an experiment, which is a requirement in the simulation of molecular vibronic spectra.
This project has progressed beyond the state of the art in the classical simulation of Gaussian boson sampling. Classical simulations are needed to assess the advantage achieved by quantum experiments, and to verify their results. We have developed dramatically faster classical algorithms, improving the runtime of simulating the largest experiments by nine orders of magnitude. This has advanced the understanding of computational complexity in such experiments, and will guide further experimental efforts towards increasing quantum advantage.