Gaussian phase sensitivity of boson-sampling-inspired strategies

Valido, Antonio A.; García-Ripoll, Juan José

doi:10.1103/physreva.103.032613

Cited by 5 publications

(3 citation statements)

References 86 publications

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“…Beyond losses and partial distinguishability, boson sampling has also been investigated under the effects of other sources of noise, such as fabrication imperfections 46 , 47 and Gaussian noise in the output data 48 . Finally, very recently, a tensor network approach for the simulation of noisy quantum circuits has been reported in Ref.…”

Section: Boson Sampling: Theoretical Overviewmentioning

confidence: 99%

Photonic implementation of boson sampling: a review

et al. 2019

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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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Section: Boson Sampling: Theoretical Overviewmentioning

confidence: 99%

Photonic implementation of boson sampling: a review

et al. 2019

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“…For bosonic systems, it is indeed found that a close to optimal Heisenberg scaling is typically achieved. Valido and García-Ripoll (2021) explores the phase sensitivity of generic linear interferometric schemes using Gaussian resources and measurements, in what could be called bosonsampling-inspired strategies. Not quite making use of random bosonic quantum circuits, but rather introducing a new general technique that simplifies the construction of quantum Fourier transform using both path and polarization modes in linear optical interferometers, multi-photon interference in quantum Fourier transform circuits is experimentally studied in Su et al (2017).…”

Section: Exploiting Randomnessmentioning

confidence: 99%

Computational advantage of quantum random sampling

Hangleiter¹,

Eisert²

2022

Preprint

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Quantum random sampling is the leading proposal for demonstrating a computational advantage of quantum computers over classical computers. Recently, first large-scale implementations of quantum random sampling have arguably surpassed the boundary of what can be simulated on existing classical hardware. In this article, we comprehensively review the theoretical underpinning of quantum random sampling in terms of computational complexity and verifiability, as well as the practical aspects of its experimental implementation using superconducting and photonic devices and its classical simulation. We discuss in detail open questions in the field and provide perspectives for the road ahead, including potential applications of quantum random sampling.

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“…Before moving on, one must mention other noteworthy approaches for optimal parameter estimation, including the Bayesian method [9,21] or boson-sampling inspired strategies [22].…”

Section: Introductionmentioning

confidence: 99%

Quantum Fisher information maximization in an unbalanced interferometer

Ataman

2022

Preprint

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In this paper we provide the answer to the following question: given an arbitrary pure input state and a general, unbalanced, Mach-Zehnder interferometer, what transmission coefficient of the first beam splitter maximizes the quantum Fisher information (QFI)? We consider this question for both single-and two-parameter QFI, or, in other words, with or without having access to an external phase reference. We give analytical results for all involved scenarios. It turns out that, for a large class of input states, the balanced (50/50) scenario yields the optimal two-parameter QFI, however this is far from being a universal truth. When it comes to the single-parameter QFI, the balanced scenario is rarely the optimal one and an unbalanced interferometer can bring a significant advantage over the balanced case. We also state the condition imposed upon the input state so that no metrological advantage can be exploited via an external phase reference. Finally, we illustrate and discuss our assertions through a number of examples, including both Gaussian and non-Gaussian input states.

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Gaussian phase sensitivity of boson-sampling-inspired strategies

Cited by 5 publications

References 86 publications

Photonic implementation of boson sampling: a review

Photonic implementation of boson sampling: a review

Computational advantage of quantum random sampling

Quantum Fisher information maximization in an unbalanced interferometer

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