A Photon-Photon Quantum Gate Based on Rydberg Interactions
Daniel Tiarks, Steffen Schmidt-Eberle, Thomas Stolz, Gerhard Rempe,, and Stephan D\"urr

TL;DR
This paper demonstrates a photon-photon quantum gate using Rydberg interactions, achieving high-fidelity quantum operations and showcasing potential for quantum communication and networking applications.
Contribution
It introduces a method to realize a photon-photon quantum gate via Rydberg interactions, with experimental validation of gate fidelity and entanglement.
Findings
Achieved a controlled-NOT gate fidelity of 70(8)%
Demonstrated an entangling-gate fidelity of 63.7(4.5)%
Post-selected measurements confirm effective photon-photon interactions
Abstract
The interaction between Rydberg states of neutral atoms is strong and long-range, making it appealing to put it to use in the context of quantum technologies. Recently, first applications of this idea have been reported in the fields of quantum computation and quantum simulation. Furthermore, electromagnetically induced transparency allows to map these Rydberg interactions to light. Here we exploit this mapping and the resulting interaction between photons to realize a photon-photon quantum gate, demonstrating the potential of Rydberg systems as a platform also for quantum communication and quantum networking. We measure a controlled-NOT truth table with a fidelity of 70(8)% and an entangling-gate fidelity of 63.7(4.5)%, both post-selected upon detection of a control and a target photon. The level of control reached here is an encouraging step towards exploring novel many-body states of…
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