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Vuillot, C. (author), Breuckmann, Nikolas P. (author)We introduce quantum pin codes: a class of quantum CSS codes. Quantum pin codes are a generalization of quantum color codes and Reed-Muller codes and share a lot of their structure and properties. Pin codes have gauge operators, an unfolding procedure and their stabilizers form so-called $\ell $ -orthogonal spaces meaning that the joint...journal article 2022
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Terhal, B.M. (author), Conrad, J. (author), Vuillot, C. (author)We review some of the recent efforts in devising and engineering bosonic qubits for superconducting devices, with emphasis on the Gottesman-Kitaev-Preskill (GKP) qubit. We present some new results on decoding repeated GKP error correction using finitely-squeezed GKP ancilla qubits, exhibiting differences with previously studied stochastic...review 2020
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Vuillot, C. (author), Lao, L. (author), Criger, D.B. (author), Almudever, Carmen G. (author), Bertels, K.L.M. (author), Terhal, B.M. (author)The large-scale execution of quantum algorithms requires basic quantum operations to be implemented fault-tolerantly. The most popular technique for accomplishing this, using the devices that can be realized in the near term, uses stabilizer codes which can be embedded in a planar layout. The set of fault-tolerant operations which can be...journal article 2019