Generation of Photonic Matrix Product States with Rydberg Atomic Arrays

TL;DR

This paper presents a method to generate entangled photonic matrix product states using Rydberg atomic arrays, enabling efficient quantum network applications through controlled photon emission.

Contribution

It introduces a universal control scheme combining quantum gates and optimal control to produce high-dimensional photonic states with Rydberg atoms.

Findings

High photon retrieval efficiency demonstrated

Generation of large entangled photon states achieved

Multi-port emission enables distribution in multiple directions

Abstract

We show how one can deterministically generate photonic matrix product states with high bond and physical dimensions with an atomic array if one has access to a Rydberg-blockade mechanism. We develop both a quantum gate and an optimal control approach to universally control the system and analyze the photon retrieval efficiency of atomic arrays. Comprehensive modeling of the system shows that our scheme is capable of generating a large number of entangled photons. We further develop a multi-port photon emission approach that can efficiently distribute entangled photons into free space in several directions, which can become a useful tool in future quantum networks.