Dynamical Casimir Effect for Gaussian Boson Sampling

Boson sampling is a computational problem that has recently been proposed as a candidate to obtain an unequivocal quantum computational advantage. The problem consists in sampling from the output distribution of indistinguishable bosons in a linear interferometer. There is strong evidence that such an experiment is hard to classically simulate, but it is naturally solved by dedicated photonic quantum hardware, comprising single photons, linear evolution, and photodetection. This prospect has stimulated much effort resulting in the experimental implementation of progressively larger devices. We review recent advances in photonic boson sampling, describing both the technological improvements achieved and the future challenges. We also discuss recent proposals and implementations of variants of the original problem, theoretical issues occurring when imperfections are considered, and advances in the development of suitable techniques for validation of boson sampling experiments. We conclude by discussing the future application of photonic boson sampling devices beyond the original theoretical scope.

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“…59,60 Gaussian boson sampling has also been linked to the dynamical Casimir effect in multimode waveguide resonators. 61…”

Section: Gaussian Boson Samplingmentioning

confidence: 99%

Photonic implementation of boson sampling: a review

et al. 2019

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“…[8], where it was shown that it is theoretically possible to produce CV cluster states. Recent work has studied the computational complexity of the generated states, showing that they can be used for classically hard computations such as boson sampling [30]. The method generalizes previous work on squeezing [11], mode-mixing quantum gates [31], and entanglement [32,33] in cavities undergoing relativistic motion.…”

Section: A Generationmentioning

confidence: 90%

Generating Multimode Entangled Microwaves with a Superconducting Parametric Cavity

et al. 2018

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We demonstrate the generation of multimode entangled states of propagating microwaves. The entangled states are generated by our parametrically pumping a multimode superconducting cavity. By combining different pump frequencies, applied simultaneously to the device, we can produce different entanglement structures in a programable fashion. The Gaussian output states are fully characterized by our measuring the full covariance matrices of the modes. The covariance matrices are absolutely calibrated by our using an in situ microwave calibration source, a shot-noise tunnel junction. Applying a variety of entanglement measures, we demonstrate both full inseparability and genuine tripartite entanglement of the states. Our method is easily extensible to more modes.

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“…It is known that, on average in a random network U , the output probability distributions of Eqs. (31) and (33) can be made arbitrarily close in the total variation distance for any finite distinguishability ξ = 1 − ǫ by selecting such a R = O(1) and that the auxiliary Boson Sampling model of Eq. (33) can be efficiently simulated classically for R = O(1) [38].…”

Section: Efficient Classical Simulation Of the Noisy Boson Samplmentioning

confidence: 99%

“…gives an upper bound for the average total variation distance in the no-collision regime (up to a vanishing term O(N 2 /M )) between the distributions in Eqs (31). and(33)…”

mentioning

confidence: 99%

Noise in boson sampling and the threshold of efficient classical simulatability

Shchesnovich

2019

Phys. Rev. A

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We study the quantum to classical transition in Boson Sampling by analysing how N -boson interference is affected by inevitable noise in an experimental setup. We adopt the Gaussian noise model of Kalai and Kindler for Boson Sampling and show that it appears from some realistic experimental imperfections. We reveal a connection between noise in Boson Sampling and partial distinguishability of bosons, which allows us to prove efficient classical simulatability of noisy nocollision Boson Sampling with finite noise amplitude ǫ, i.e., ǫ = Ω(1) as N → ∞. On the other hand, using an equivalent representation of network noise as losses of bosons compensated by random (dark) counts of detectors, it is proven that for noise amplitude inversely proportional to total number of bosons, i.e., ǫ = O(1/N ), noisy no-collision Boson Sampling is as hard to simulate classically as in the noiseless case. Moreover, the ratio of "noise clicks" (lost bosons compensated by dark counts) to the total number of bosons N vanishes as N → ∞ for arbitrarily small noise amplitude, i.e., ǫ = o(1) as N → ∞, hence, we conjecture that such a noisy Boson Sampling is also hard to simulate classically. The results significantly relax sufficient condition on noise in a network components, such as two-mode beam splitters, for classical hardness of experimental Boson Sampling.

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Dynamical Casimir Effect for Gaussian Boson Sampling

Cited by 14 publications

References 36 publications

Photonic implementation of boson sampling: a review

Photonic implementation of boson sampling: a review

Generating Multimode Entangled Microwaves with a Superconducting Parametric Cavity

Noise in boson sampling and the threshold of efficient classical simulatability

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