Efficient tomography of microwave photonic cluster states

Fuente: arXiv
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Autores principales: Sunada, Yoshiki, Kono, Shingo, Ilves, Jesper, Sugiyama, Takanori, Suzuki, Yasunari, Okubo, Tsuyoshi, Tamate, Shuhei, Tabuchi, Yutaka, Nakamura, Yasunobu
Formato: Preprint
Publicado: 2024
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author Sunada, Yoshiki
Kono, Shingo
Ilves, Jesper
Sugiyama, Takanori
Suzuki, Yasunari
Okubo, Tsuyoshi
Tamate, Shuhei
Tabuchi, Yutaka
Nakamura, Yasunobu
author_facet Sunada, Yoshiki
Kono, Shingo
Ilves, Jesper
Sugiyama, Takanori
Suzuki, Yasunari
Okubo, Tsuyoshi
Tamate, Shuhei
Tabuchi, Yutaka
Nakamura, Yasunobu
contents Entanglement among a large number of qubits is a crucial resource for many quantum algorithms. Such many-body states have been efficiently generated by entangling a chain of itinerant photonic qubits in the optical or microwave domain. However, it has remained challenging to fully characterize the generated many-body states by experimentally reconstructing their exponentially large density matrices. Here, we develop an efficient tomography method based on the matrix-product-operator formalism and demonstrate it on a cluster state of up to 35 microwave photonic qubits by reconstructing its $2^{35} \times 2^{35}$ density matrix. The full characterization enables us to detect the performance degradation of our photon source which occurs only when generating a large cluster state. This tomography method is generally applicable to various physical realizations of entangled qubits and provides an efficient benchmarking method for guiding the development of high-fidelity sources of entangled photons.
format Preprint
id arxiv_https___arxiv_org_abs_2410_03345
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Efficient tomography of microwave photonic cluster states
Sunada, Yoshiki
Kono, Shingo
Ilves, Jesper
Sugiyama, Takanori
Suzuki, Yasunari
Okubo, Tsuyoshi
Tamate, Shuhei
Tabuchi, Yutaka
Nakamura, Yasunobu
Quantum Physics
Entanglement among a large number of qubits is a crucial resource for many quantum algorithms. Such many-body states have been efficiently generated by entangling a chain of itinerant photonic qubits in the optical or microwave domain. However, it has remained challenging to fully characterize the generated many-body states by experimentally reconstructing their exponentially large density matrices. Here, we develop an efficient tomography method based on the matrix-product-operator formalism and demonstrate it on a cluster state of up to 35 microwave photonic qubits by reconstructing its $2^{35} \times 2^{35}$ density matrix. The full characterization enables us to detect the performance degradation of our photon source which occurs only when generating a large cluster state. This tomography method is generally applicable to various physical realizations of entangled qubits and provides an efficient benchmarking method for guiding the development of high-fidelity sources of entangled photons.
title Efficient tomography of microwave photonic cluster states
topic Quantum Physics
url https://arxiv.org/abs/2410.03345