Questions tagged [boson-sampling]
Boson sampling constitutes a restricted model of non-universal quantum computation introduced by S. Aaronson and A. Arkhipov. It consists of sampling from the probability distribution of identical bosons scattered by a linear interferometer. (Wikipedia)
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Is it possible to "calculate" the absolute value of a permanent using Boson Sampling?
In boson sampling, if we start with 1 photon in each of the first $M$ modes of an interferometer, the probability of detecting 1 photon in each output mode is: $|\textrm{Perm}(A)|^2$, where the ...
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How many qubits would be needed to do boson sampling in Qiskit?
In December 2020, there was this claim of quantum advantage/supremacy by a team of UST China using Gaussian boson sampling. Here is the paper and here is an explanatory news article in Nature. To get ...
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What about BosonSampling can be publicly verified?
Boson Sampling, sometimes stylized as BosonSampling, is an attractive candidate problem to establish quantum supremacy; the engineering problems appear more surmountable than those associated with a ...
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Is Gaussian boson sampling (used for showing quantum advantage) a subcategory of the continuous variable approach?
I read about the photonic QC Jiŭzhāng that showed quantum advantage by Gaussian boson sampling. I read that boson sampling itself is a sub-universal technique of QC (where they use single-photon ...
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What is the relationship between the size of the Hilbert space for boson sampling and the complexity of classical simulating it?
My intuition is that the fastest classical algorithm for simulating some kind of noiseless quantum sampling process should scale roughly with the dimension of the Hilbert space: you would need to ...
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Are indistinguishable bosons and fermions computationally equivalent to distinguishable qubits?
From the middle-late decades of the last century, many researchers such as Bennett, Benoif, Deutsch, Feynman, Manin, Wiesner, among others, had some intuition that qubits are computationally more ...
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CS conjecture that Quantum Computer cannot solve NP-complete problems, but Boson Samplers do a #P-hard problem. How is it?
There is something very strange and absurd for me about the power of a quantum computer. Let me briefly states the following facts:
Fact 1: theoretical computer scientists believe (very likely to ...
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What is the HOG test and how would it help proving quantum supremacy?
Proposed experiments in achieving quantum supremacy, such as with BosonSampling or using random circuits, have been described as using a (not necessarily Turing complete) quantum computer to perform ...
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How big is the Hilbert space of a boson sampling experiment?
Boson sampling experiments are typically characterized by two key parameters: the number of photons $M$ and the number of modes $N$.
A recent experimental demonstration (arXiv:2106.15534) with $M = ...
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What are known applications of quantum sampling?
I'm inspired by [1] which clearly lays out near term applications of quantum computing: optimization, simulation and sampling. They claim that quantum sampling is likely to be the first application ...
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Is the pfaffian for gaussian fermions what the hafnian is for gaussian bosons?
In some recent papers, e.g. Phys. Rev. Lett. 119, 170501, the problem of gaussian boson sampling is shown to be related to the hafnian of a certain matrix. When applied to the adjacency matrix of a ...
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Boson Sampling with a single beamsplitter
In Boson Sampling as first proposed by Aaronson and Arkhipov in arxiv.org/abs/1011.3245, the interferometer is made up of phase shifters and beamsplitters. As these gates are universal, drawing the ...
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Are there practical uses for boson sampling?
Boson sampling is a computation that is not doable on classical machines but quite doable on quantum photonic machines.
(https://www.researchgate.net/figure/Experimental-results-for-3-and-4-boson-...
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Commutation of bosonic operators on finite Hilbert space
I'm checking this article of R. Somma about quantum simulations
https://arxiv.org/abs/quant-ph/0512209
I understand the common commutation relations for creationd and annihilation operators, given ...
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I was solving matrix of beam splitter in python but got stuck in understanding the library
What does this command physically mean?
block_diag([[1]], BSunitaries[2], [[1]])
Can any one tell me in matrix form?
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Can one simulate Gaussian Boson Sampling using Fock Boson Sampling or vice versa?
In Fock Boson Sampling, one starts with a particle-number state $|n_1, ..., n_m\rangle$ of $m$ modes, sends it to an interferometer effecting a unitary operation $U$ on the creation operators, and ...
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