Electron quantum optics as quantum signal processing

Roussel, Benjamin; Cabart, C.; Fève, Gwendal; Thibierge, E.; Degiovanni, Pascal

doi:10.1002/pssb.201600621

Cited by 67 publications

(51 citation statements)

References 140 publications

(243 reference statements)

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“…-all the information about coherent dynamics inside the modulated scattering region is encoded in the matrix element τ(t) of the time evolution operator which is time-translation invariant in the gauge expressed by equation (15). This is valid as long as the modulation is spatially flat as expressed by condition (5). Matching equations (14) and (16) at x=−x b and x=+x b , we find…”

Section: Derivation Of the Main Resultsmentioning

confidence: 83%

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Time-energy filtering of single electrons in ballistic waveguides

2019

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Characterizing distinct electron wave packets is a basic task for solid-state electron quantum optics with applications in quantum metrology and sensing. A important circuit element for this task is a non-stationary potential barrier that enables backscattering of chiral particles depending on their energy and time of arrival. Here we solve the quantum mechanical problem of single-particle scattering by a ballistic constriction in an fully depleted quantum Hall system under spatially uniform but time-dependent electrostatic potential modulation. The result describes electrons distributed in time-energy space according to a modified Wigner quasiprobability distribution and scattered with an energy-dependent transmission probability that characterizes constriction in the absence of modulation. Modification of the incoming Wigner distribution due to external time-dependent potential simplifies in case of linear time-dependence and admits semiclassical interpretation. Our results support a recently proposed and implemented method for measuring time and energy distribution of solitary electrons as a quantum tomography technique, and offer new paths for experimental exploration of on-demand sources of coherent electrons. ModelWe consider a constriction with two counterpropagating quantum Hall edge channels. The coordinate x measures the distance along the edge, taking the center of the constriction as the origin, such that points to the left (right) of the constriction have negative (positive) x, see figure 2. The Hamiltonian for the two New J. Phys. 21 (2019) 093042 E Locane et al

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Section: Derivation Of the Main Resultsmentioning

confidence: 83%

“…It offers the prospects of probing the interaction between just a few electrons, as well as studying phenomena on the scale of electron coherence time. The field has potentially promising applications in signal processing [5] and quantum sensing [6].…”

Section: Introductionmentioning

confidence: 99%

Time-energy filtering of single electrons in ballistic waveguides

2019

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“…In Reference [19], the electronic beam splitter is made of the QPC and the Hanbury Brown and Twiss experiment is performed. In Reference [20], how to construct quantum signal processor with the electron quantum optics is discussed comprehensively.…”

Section: Implementation Of the Ifm With The 2degmentioning

confidence: 99%

“…The matrices A and B are given in Equations (7) and (8) and θ = π/(2N). Substitution of Equations (20) and (21) into Equation (22) yields the function of the probability P (N, ∆W ).…”

Section: Changing the Absorption Coefficient Of The Object By Adjustimentioning

confidence: 99%

“…To perform the scheme of Kwiat et al for the IFM in the 2DEG system, we make use of techniques of electron quantum optics for implementation of the single-electron source and the beam splitter [17,18,19,20] and the tunnelling microscope for realizing the absorbing object [21]. The electron quantum optics is a particular perspective on electronic ballistic transport in quantum conductors and it aims a counterpart of orthodox photon quantum optics.…”

Section: Introductionmentioning

confidence: 99%

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Interaction-free measurement with mesoscopic devices on a GaAs/AlGaAs heterostructure

Azuma

2018

Physica E: Low-dimensional Systems and Nanostructures

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In this paper, we propose a method for implementing the interaction-free measurement (IFM) with mesoscopic devices fabricated on a high mobility GaAs/AlGaAs heterostructure, where a two-dimensional electron gas (2DEG) system is buried, at low temperature. The IFM is amazing evidence of nonlocality of the quantum mechanics because the IFM offers us the capability to detect the existence of an object without interaction with it. A scheme of Kwiat et al. for realizing the IFM lets a probability that we fail to recognize the presence of the object be as small as we like, using the quantum Zeno effect. Constructing an interferometer of Kwiat et al. for the IFM, we make use of techniques of electron quantum optics and tunnelling microscopes for the 2DEG. We examine a shot noise of an electric current flowing through the interferometer. Our method for performing the IFM aims at achieving a milestone of quantum information processing in mesoscopic systems.

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Two‐particle interferometry in quantum Hall edge channels

Marguerite

Bocquillon

Berroir

et al. 2016

Physica Status Solidi (b)

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Since pioneering works of Hanbury-Brown and Twiss, intensity-intensity correlations have been widely used in astronomical systems, for example to detect binary stars. They reveal statistics effects and two-particle interference, and offer a decoherence-free probe of the coherence properties of light sources. In the quantum Hall edge channels, the concept of quantum optics can transposed to electrons, and an analogous two-particle interferometry can be developed, in order to characterize single-electron states. We review in this article the recent experimental and theoretical progress on this topic.

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Electron quantum optics as quantum signal processing

Cited by 67 publications

References 140 publications

Time-energy filtering of single electrons in ballistic waveguides

Time-energy filtering of single electrons in ballistic waveguides

Interaction-free measurement with mesoscopic devices on a GaAs/AlGaAs heterostructure

Two‐particle interferometry in quantum Hall edge channels

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