Generation of Photonic Matrix Product States with Rydberg Atomic Arrays

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.

23 pages, 12 figures

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• Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver
• Optical Properties of Concentric Nanorings of Quantum Emitters
• Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks
• Generation of photonic tensor network states with Circuit QED
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Metalens formed by structured arrays of atomic emitters