Single-electron entanglement and nonlocality

Self Cite

We review our recent proposals for the on-demand generation of entangled few-electron states using dynamic single-electron sources. The generation of entanglement can be traced back to the single-electron entanglement produced by quantum point contacts acting as electronic beam splitters. The coherent partitioning of a single electron leads to entanglement between the two outgoing arms of the quantum point contact. We describe our various approaches for generating and certifying entanglement in dynamic electronic conductors and we quantify the influence of detrimental effects such as finite electronic temperatures and other dephasing mechanisms. The prospects for future experiments are discussed and possible avenues for further developments are identified.Comment: Published version, 11 pages, 7 figures, short review for focus issue on 'Single-electron control in solid-state devices'. in Phys. Status Solidi B (2016

“…In the second line, we indicate the number of particles localized with each party, i.e.,

false| 1_{A}, 0_{B} 〉 = false| 1_{A} 〉 \otimes false| 0_{B} 〉

and

false| 0_{A}, 1_{B} 〉 = false| 0_{A} 〉 \otimes false| 1_{B} 〉

Section: Dynamic Entanglement Generationmentioning

confidence: 99%

“…The entanglement in Eq. can nevertheless be detected using a copy of the state . Since two fermions cannot occupy the same state, we introduce an additional degree of freedom that we denote by

σ = \pm

.…”

Section: Dynamic Entanglement Generationmentioning

confidence: 99%

“…Here, as well as in Ref. , we consider the entanglement of formation

E_{F}

which is sub‐additive, i.e.,

E_{F} false[{\overset{ρ}{true}}_{1} \otimes \hat{ρ_{2}} false] \leq E_{F} false[{\overset{ρ}{true}}_{1} false] + E_{F} false[{\overset{ρ}{true}}_{2} false]

. Other measures of entanglement can lead to different conclusions .…”

Section: Dynamic Entanglement Generationmentioning

confidence: 99%

“…The Floquet scattering matrices of the full structure is obtained by combining the amplitudes for the sources with the scattering matrices of half‐transparent QPCs and the phases

ϕ_{A / B}

(for details, see Ref. ).…”

Section: Single‐electron Entanglementmentioning

confidence: 99%

Section: Acknowledgmentsmentioning

confidence: 99%

See 3 more Smart Citations

On‐demand entanglement generation using dynamic single‐electron sources

Hofer

Dasenbrook

Flindt

2016

Self Cite

Two‐particle interferometry in quantum Hall edge channels

Marguerite

Bocquillon

Berroir

et al. 2016

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.

Electron quantum optics as quantum signal processing

Roussel

Cabart

Fève

et al. 2017

The recent developments of electron quantum optics in quantum Hall edge channels have given us new ways to probe the behavior of electrons in quantum conductors. It has brought new quantities called electronic coherences under the spotlight. In this paper, we explore the relations between electron quantum optics and signal processing through a global review of the various methods for accessing single-and two-electron coherences in electron quantum optics. We interpret electron quantum optics interference experiments as analog signal processing, converting quantum signals into experimentally observable quantities such as current averages and correlations.This point of view also gives us a procedure to obtain quantum information quantities from electron quantum optics coherences. We illustrate these ideas by discussing two-mode entanglement in electron quantum optics. We also sketch how signal processing ideas may open new perspectives for representing electronic coherences in quantum conductors and understand the properties of the underlying many-body electronic state.