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.5 MoreReceived 13 November 2020Accepted 7 March 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.023021Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasEntanglement productionAtomic, Molecular & OpticalQuantum Information
Highlights
The generation of multiphoton quantum states is at the core of many quantum technologies, including computing [1], cryptography [2], networks [3], or sensing [4]
The class of states that can be generated in this way coincides with the set of matrix product states (MPS) [14], a class of tensor network states that have been extensively studied in condensed matter physics [15,16,17,18]
III, we develop both a quantum gate approach and a quantum optimal control approach [57,58] to implement arbitrary unitaries in our system, illustrate their usage by constructing unitaries required for generating the cluster state and the generalized GHZ state, and analyze the impact of imperfections during the unitary evolution process
Summary
The generation of multiphoton quantum states is at the core of many quantum technologies, including computing [1], cryptography [2], networks [3], or sensing [4]. While very successful in several scenarios, this method possesses certain limitations, notably the exponential dependence of the success probability on the number of photons These limitations can be overcome, for instance, by using emitters coupled to photonic waveguides, where one first prepares an entangled state of the emitters, which is mapped into the multiphoton state using collective decay [6,7]. We show how, in a similar setup, it is possible to generate quantum photonic states in a sequential way, where the output states consist of many wave packets outgoing in predetermined directions and whose quantum state is an arbitrary MPS This generalizes the class of states that can be produced on a similar setup [12] (a subclass of MPS with D = 2) with a simpler atomic level scheme.
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