Integrated multimode interferometers with arbitrary designs for photonic boson sampling

Crespi, Andrea; Osellame, Roberto; Ramponi, Roberta; Brod, Daniel J.; Galvão, Ernesto F.; Spagnolo, Nicolò; Vitelli, Chiara; Maiorino, Enrico; Mataloni, Paolo; Sciarrino, Fabio

doi:10.1038/nphoton.2013.112

Cited by 645 publications

(632 citation statements)

References 26 publications

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“…1a). While several groups have already realized small-scale versions of boson sampling [13][14][15][16], to challenge the ECT one also has to demonstrate the scalability of the experimental architecture [17,18].…”

Section: Introductionmentioning

confidence: 99%

Boson sampling for molecular vibronic spectra

et al. 2015

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Quantum computers are expected to be more efficient in performing certain computations than any classical machine. Unfortunately, the technological challenges associated with building a fullscale quantum computer have not yet allowed the experimental verification of such an expectation. Recently, boson sampling has emerged as a problem that is suspected to be intractable on any classical computer, but efficiently implementable with a linear quantum optical setup. Therefore, boson sampling may offer an experimentally realizable challenge to the Extended Church-Turing thesis and this remarkable possibility motivated much of the interest around boson sampling, at least in relation to complexity-theoretic questions. In this work, we show that the successful development of a boson sampling apparatus would not only answer such inquiries, but also yield a practical tool for difficult molecular computations. Specifically, we show that a boson sampling device with a modified input state can be used to generate molecular vibronic spectra, including complicated effects such as Duschinsky rotations.

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Section: Introductionmentioning

confidence: 99%

Boson sampling for molecular vibronic spectra

et al. 2015

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“…Unitary transformations on optical modes have been used to implement single-particle quantum gates [1,2], quantum simulations [3], and boson sampling [4][5][6][7][8][9][10][11]. Traditionally, these transformations are implemented on spatial modes using a system of beam splitters.…”

Section: Introductionmentioning

confidence: 99%

High-dimensional unitary transformations and boson sampling on temporal modes using dispersive optics

Pant

Englund

2016

Phys. Rev. A

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A major challenge for postclassical boson sampling experiments is the need for a large number of coupled optical modes, detectors, and single-photon sources. Here we show that these requirements can be greatly eased by time-bin encoding and dispersive optics-based unitary transformations. Detecting consecutively heralded photons after time-independent dispersion performs boson sampling from unitaries for which an efficient classical algorithm is lacking. We also show that time-dependent dispersion can implement general single-particle unitary operations. More generally, this scheme promises an efficient architecture for a range of other linear optics experiments.

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“…However, largescale universal quantum computers are yet to be built. Boson sampling 1 is a rudimentary quantum algorithm tailored to the platform of linear optics, which has sparked interest as a rapid way to demonstrate such quantum supremacy [2][3][4][5][6] . Photon statistics are governed by intractable matrix functions, which suggests that sampling from the distribution obtained by injecting photons into a linear optical network could be solved more quickly by a photonic experiment than by a classical computer.…”

mentioning

confidence: 99%

Classical boson sampling algorithms with superior performance to near-term experiments

et al. 2017

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It is predicted that quantum computers will dramatically outperform their conventional counterparts. However, largescale universal quantum computers are yet to be built. Boson sampling 1 is a rudimentary quantum algorithm tailored to the platform of linear optics, which has sparked interest as a rapid way to demonstrate such quantum supremacy 2-6 . Photon statistics are governed by intractable matrix functions, which suggests that sampling from the distribution obtained by injecting photons into a linear optical network could be solved more quickly by a photonic experiment than by a classical computer. The apparently low resource requirements for large boson sampling experiments have raised expectations of a near-term demonstration of quantum supremacy by boson sampling 7,8 . Here we present classical boson sampling algorithms and theoretical analyses of prospects for scaling boson sampling experiments, showing that near-term quantum supremacy via boson sampling is unlikely. Our classical algorithm, based on Metropolised independence sampling, allowed the boson sampling problem to be solved for 30 photons with standard computing hardware. Compared to current experiments, a demonstration of quantum supremacy over a successful implementation of these classical methods on a supercomputer would require the number of photons and experimental components to increase by orders of magnitude, while tackling exponentially scaling photon loss.It is believed that new types of computing machines will be constructed to exploit quantum mechanics for an exponential speed advantage in solving certain problems compared with classical computers 9 . Recent large state and private investments in developing quantum technologies have increased interest in this challenge. However, it is not yet experimentally proven that a large computationally useful quantum system can be assembled, and such a task is highly non-trivial given the challenge of overcoming the effects of errors in these systems.Boson sampling is a simple task which is native to linear optics and has captured the imagination of quantum scientists because it seems possible that the anticipated supremacy of quantum machines could be demonstrated by a near-term experiment. The advent of integrated quantum photonics 10 has enabled large, complex, stable and programmable optical circuitry 11,12 , while recent advances in photon generation [13][14][15] and detection 16,17 have also been impressive. The possibility to generate many photons, evolve them under a large linear optical unitary transformation, then detect them, seems feasible, so the role of a boson sampling machine as a rudimentary but legitimate computing device is particularly appealing. Compared to a universal digital quantum computer, the resources required for experimental boson sampling appear much less demanding. This approach of designing quantum algorithms to demonstrate computational supremacy with nearterm experimental capabilities has inspired a raft of proposals suited to different hardware platforms [18]...

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Integrated multimode interferometers with arbitrary designs for photonic boson sampling

Cited by 645 publications

References 26 publications

Boson sampling for molecular vibronic spectra

Boson sampling for molecular vibronic spectra

High-dimensional unitary transformations and boson sampling on temporal modes using dispersive optics

Classical boson sampling algorithms with superior performance to near-term experiments

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