Two-photon quantum walk in a multimode fiber

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Abstract

Control of a two-photon quantum walk in a complex multimode system by wavefront shaping.

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Measuring the Transmission Matrix in Optics: An Approach to the Study and Control of Light Propagation in Disordered Media

S. Popoff, G Lerosey, R. Carminati … (2010)

We introduce a method to experimentally measure the monochromatic transmission matrix of a complex medium in optics. This method is based on a spatial phase modulator together with a full-field interferometric measurement on a camera. We determine the transmission matrix of a thick random scattering sample. We show that this matrix exhibits statistical properties in good agreement with random matrix theory and allows light focusing and imaging through the random medium. This method might give important insight into the mesoscopic properties of a complex medium.

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Photonic Boson Sampling in a Tunable Circuit

M. A. Broome, A Fedrizzi, S Rahimi-Keshari … (2013)

Quantum computers are unnecessary for exponentially efficient computation or simulation if the Extended Church-Turing thesis is correct. The thesis would be strongly contradicted by physical devices that efficiently perform tasks believed to be intractable for classical computers. Such a task is boson sampling: sampling the output distributions of n bosons scattered by some passive, linear unitary process. We tested the central premise of boson sampling, experimentally verifying that three-photon scattering amplitudes are given by the permanents of submatrices generated from a unitary describing a six-mode integrated optical circuit. We find the protocol to be robust, working even with the unavoidable effects of photon loss, non-ideal sources, and imperfect detection. Scaling this to large numbers of photons should be a much simpler task than building a universal quantum computer.

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Universal computation by quantum walk.

Andrew M. Childs (2009)

In some of the earliest work on quantum computing, Feynman showed how to implement universal quantum computation with a time-independent Hamiltonian. I show that this remains possible even if the Hamiltonian is restricted to be the adjacency matrix of a low-degree graph. Thus quantum walk can be regarded as a universal computational primitive, with any quantum computation encoded in some graph. The main idea is to implement quantum gates by scattering processes.

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PubMed ID:: 27152325

PMC ID:: 4846436

DOI:: 10.1126/sciadv.1501054

ArXiv ID:: 1504.03178

License:

http://creativecommons.org/licenses/by-nc/4.0/

Keywords: random medium,scattering medium,quantum walks,wavefront shaping,transmission matrix,photon pairs,quantum interferences,multimode fiber,spatial light modulator

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Keywords: random medium, scattering medium, quantum walks, wavefront shaping, transmission matrix, photon pairs, quantum interferences, multimode fiber, spatial light modulator

Two-photon quantum walk in a multimode fiber

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Abstract

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Most cited references 38

Measuring the Transmission Matrix in Optics: An Approach to the Study and Control of Light Propagation in Disordered Media

Photonic Boson Sampling in a Tunable Circuit

Universal computation by quantum walk.

Author and article information

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