Dynamical Scheme for Interferometric Measurements of Full-Counting Statistics

Dasenbrook, David; Flindt, Christian

doi:10.1103/physrevlett.117.146801

Cited by 13 publications

(10 citation statements)

References 78 publications

(127 reference statements)

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“…Up to now, only cumulants up to third order have been accessible for mesoscopic conductors [203][204][205] . Using a dynamical scheme, however, it has been proposed that by simply measuring the average current, the FCS should be accessible 206 . This can be realised by injecting periodic voltage pulses into a quantum conductor and a MZ interferometer which are capacitively coupled through one arm of the interferometer.…”

Section: Outlook and Future Developmentsmentioning

confidence: 99%

Coherent control of single electrons: a review of current progress

et al. 2018

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In this report we review the present state of the art of the control of propagating quantum states at the single-electron level and its potential application to quantum information processing. We give an overview of the different approaches that have been developed over the last few years in order to gain full control over a propagating single-electron in a solid-state system. After a brief introduction of the basic concepts, we present experiments on flying qubit circuits for ensemble of electrons measured in the low frequency (DC) limit. We then present the basic ingredients necessary to realise such experiments at the single-electron level. This includes a review of the various single-electron sources that have been developed over the last years and which are compatible with integrated single-electron circuits. This is followed by a review of recent key experiments on electron quantum optics with single electrons. Finally we will present recent developments in the new physics that has emerged using ultrashort voltage pulses. We conclude our review with an outlook and future challenges in the field.

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Section: Outlook and Future Developmentsmentioning

confidence: 99%

Coherent control of single electrons: a review of current progress

et al. 2018

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“…density of states is recovered for the Fermi liquid case ν = 1, in accordance with the assumption of linear dispersion typical of the Luttinger liquid paradigm. At θ = 0 we resort to the asymptotic limit of the gamma function[77] to obtain Eq (15). representations for e 2νG(τ ) and e −iϕ(t) we obtainJ C (t) = |λ| 2 e * l,m p * l p m e i(l−m)ωt × P 2ν [(q + m)ω] −P 2ν [−(q + m)ω] , p m e i(l−m)ωt (q + m)ω × P 2ν [(q + m)ω] −P 2ν [−(q + m)ω] .…”

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confidence: 99%

Minimal excitation states for heat transport in driven quantum Hall systems

et al. 2017

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We investigate minimal excitation states for heat transport into a fractional quantum Hall system driven out of equilibrium by means of time-periodic voltage pulses. A quantum point contact allows for tunneling of fractional quasi-particles between opposite edge states, thus acting as a beam splitter in the framework of the electron quantum optics. Excitations are then studied through heat and mixed noise generated by the random partitioning at the barrier. It is shown that levitons, the singleparticle excitations of a filled Fermi sea recently observed in experiments, represent the cleanest states for heat transport, since excess heat and mixed shot noise both vanish only when Lorentzian voltage pulses carrying integer electric charge are applied to the conductor. This happens in the integer quantum Hall regime and for Laughlin fractional states as well, with no influence of fractional physics on the conditions for clean energy pulses. In addition, we demonstrate the robustness of such excitations to the overlap of Lorentzian wavepackets. Even though mixed and heat noise have nonlinear dependence on the voltage bias, and despite the non-integer power-law behavior arising from the fractional quantum Hall physics, an arbitrary superposition of levitons always generates minimal excitation states.

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“…However, the underlying KQPD can in principle be reconstructed tomographically by coupling the observables of interest to qubits and performing state tomography on the qubits. This has been discussed extensively for the FCS [13,17,19,69,70].…”

Section: Discussionmentioning

confidence: 99%

Quasi-probability distributions for observables in dynamic systems

Hofer

2017

Quantum

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We develop a general framework to investigate fluctuations of non-commuting observables. To this end, we consider the Keldysh quasi-probability distribution (KQPD). This distribution provides a measurement-independent description of the observables of interest and their time-evolution. Nevertheless, positive probability distributions for measurement outcomes can be obtained from the KQPD by taking into account the effect of measurement back-action and imprecision. Negativity in the KQPD can be linked to an interference effect and acts as an indicator for non-classical behavior. Notable examples of the KQPD are the Wigner function and the full counting statistics, both of which have been used extensively to describe systems in the absence as well as in the presence of a measurement apparatus. Here we discuss the KQPD and its moments in detail and connect it to various time-dependent problems including weak values, fluctuating work, and Leggett-Garg inequalities. Our results are illustrated using the simple example of two subsequent, non-commuting spin measurements.

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Dynamical Scheme for Interferometric Measurements of Full-Counting Statistics

Cited by 13 publications

References 78 publications

Coherent control of single electrons: a review of current progress

Coherent control of single electrons: a review of current progress

Minimal excitation states for heat transport in driven quantum Hall systems

Quasi-probability distributions for observables in dynamic systems

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