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Generation of photonic tensor network states with Circuit QED

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Wei,  Zhiyuan
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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Cirac,  J. Ignacio
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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Malz,  Daniel
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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2109.06781v1.pdf
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6253.pdf
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Citation

Wei, Z., Cirac, J. I., & Malz, D. (2022). Generation of photonic tensor network states with Circuit QED. Physical Review A, 105(2): 022611. doi:10.1103/PhysRevA.105.022611.


Cite as: https://hdl.handle.net/21.11116/0000-0009-777B-8
Abstract
We propose a circuit QED platform and protocol to deterministically generate microwave photonic tensor network states. We first show that using a microwave cavity as ancilla and a transmon qubit as emitter is a favorable platform to produce photonic matrix-product states. The ancilla cavity combines a large controllable Hilbert space with a long coherence time, which we predict translates into a high number of entangled photons and states with a high bond dimension. Going beyond this paradigm, we then consider a natural generalization of this platform, in which several cavity--qubit pairs are coupled to form a chain. The photonic states thus produced feature a two-dimensional entanglement structure and are readily interpreted as $\textit{radial plaquette}$ projected entangled pair states, which include many paradigmatic states, such as the broad class of isometric tensor network states, graph states, string-net states.