Abstract
We consider a scheme for on-demand teleportation of a dual-rail electron qubit state, based on single-electron sources and detectors. The scheme has a maximal efficiency of 25%, which is limited both by the shared entangled state as well as the Bell-state measurement. We consider two experimental implementations, realizable with current technology. The first relies on surface acoustic waves, where all the ingredients are readily available. The second is based on Lorentzian voltage pulses in quantum Hall edge channels. As single-electron detection is not yet experimentally established in these systems, we consider a tomographic detection of teleportation using current correlators up to (and including) third order. For both implementations we take into account environmental effects.
Highlights
Quantum teleportation was introduced by Bennett et al in 1993 [1] and the first experimental implementations, using photon polarizations, started to appear in the late ’90s [2,3]
While we propose performing full-state tomography on Bob’s postmeasurement state, in Ref. [37] the teleportation is demonstrated by simultaneously teleporting a hole, in a scheme analogous to entanglement swapping [13], and verifying that the resulting electron-hole pair is entangled by measuring low-frequency current correlators
Since single-electron detection is challenging for this type of setup, we provide a way to perform the state tomography measurements by measuring direct currents and zero frequency cross-correlators up to order three
Summary
Quantum teleportation was introduced by Bennett et al in 1993 [1] and the first experimental implementations, using photon polarizations, started to appear in the late ’90s [2,3]. The entanglement required for teleportation is generated by two single-electron sources together with a pair of 50/50 beamsplitters [24,25] and the Bell-state measurement is implemented using beamsplitters and charge detectors. In this scheme, the efficiency of teleportation is restricted for two reasons: First, particle-number superselection renders the entangled state useless in 50% of the cases. Despite promising recent efforts [34,35], singleelectron detection has not been demonstrated yet for this type of setup For this reason, we will theoretically demonstrate how to perform state tomography of Bob’s postmeasurement state by periodically repeating the experiment and measuring zero frequency currents and current cross-correlators up to (and including) order three.
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