Generation of time-frequency grid state with integrated biphoton frequency combs

Encoding quantum information in continuous variables is intrinsically faulty. Nevertheless, redundant qubits can be used for error correction, as proposed by Gottesman, Kitaev and Preskill in Phys. Rev. A \textbf{64} 012310, (2001). We show how to experimentally implement this encoding using time-fr...

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Bibliographic Details
Published in:arXiv.org 2020-02
Main Authors: Fabre, N, Maltese, G, Appas, F, Felicetti, S, Ketterer, A, Keller, A, Coudreau, T, Baboux, F, Amanti, M I, Ducci, S, Milman, P
Format: Article
Language:English
Subjects:
Continuity (mathematics)
Electromagnetic fields
Error correction
Error correction & detection
Gates (circuits)
Photons
Quantum phenomena
Qubits (quantum computing)
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Summary:Encoding quantum information in continuous variables is intrinsically faulty. Nevertheless, redundant qubits can be used for error correction, as proposed by Gottesman, Kitaev and Preskill in Phys. Rev. A \textbf{64} 012310, (2001). We show how to experimentally implement this encoding using time-frequency continuous degrees of freedom of photon pairs produced by spontaneous parametric down conversion. We experimentally illustrate our results using an integrated AlGaAs photon pairs source. We show how single qubit gates can be implemented and finally propose a theoretical scheme for correcting errors in a circuit-like and in a measurement-based architecture.
ISSN:2331-8422
DOI:10.48550/arxiv.1904.01351