Atom-atom entanglement by single-photon detection
L. Slodi\v{c}ka, G. H\'etet, N. R\"ock, P. Schindler, M. Hennrich, R., Blatt

TL;DR
This paper demonstrates a practical scheme for entangling distant atoms using single-photon detection, achieving high rate and fidelity, and controlling the entangled state phase via interferometer path length adjustments.
Contribution
It experimentally implements a protocol for atom-atom entanglement via single-photon detection, confirming theoretical predictions and showcasing control over entangled states.
Findings
High-rate entanglement of distant ions achieved
Fidelity limited mainly by atomic motion
Phase control demonstrated through interferometer adjustments
Abstract
A scheme for entangling distant atoms is realized, as proposed in the seminal paper by Cabrillo et al. [Phys. Rev. A 59, 1025 (1999)]. The protocol is based on quantum interference and detection of a single photon scattered from two effectively one meter distant laser-cooled and trapped atomic ions. The detection of a single photon heralds entanglement of two internal states of the trapped ions with high rate and with a fidelity limited mostly by atomic motion. Control of the entangled state phase is demonstrated by changing the path length of the single-photon interferometer.
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