[GS_C_QI] Exploiting symmetries in bosonic codes for quantum error mitigation and correction
ABSTRACT
Abstract: Continuous-Variable Quantum Error-Correcting Codes (CV-QECCs) have garnered significant attention as a promising approach for combating decoherence in quantum information processing [1]. In this talk, I will present an overview of the fundamental properties of CV-QECCs—namely, their inherent translational and rotational symmetries [2, 3]—and discuss how these features can be leveraged to develop new error mitigation and correction protocols [4,5,6]. I will also highlight a conceptual link between non-Markovian dynamics and autonomous bosonic QEC procedures [7].
[1] W. Cai, Y. Ma, W. Wang, C. L. Zou, and L. Sun, “Bosonic quantum error correction codes in superconducting quantum circuits,” Fundamental Research 1, 50 (2021).
[2] A. L. Grimsmo, J. Combes, and B. Q. Baragiola, “Quantum Computing with Rotation-Symmetric Bosonic Codes,” Phys. Rev. X 10, 011058 (2020).
[3] D. Gottesman, A. Kitaev, and J. Preskill, “Encoding a qubit in an oscillator,” Phys. Rev. A 64, 012310 (2001).
[4] S. Endo, Y. Suzuki, K. Tsubouchi, R. Asaoka, K. Yamamoto, Y. Matsuzaki, and Y. Tokunaga, “Quantum error mitigation for rotation-symmetric bosonic codes with symmetry expansion,” Phys. Rev. A 111, 062402 (2025).
[5] S. Endo, K. Anai, Y. Matsuzaki, Y. Tokunaga, and Y. Suzuki, “Projective squeezing for translation symmetric bosonic codes,” arXiv:2403.14218 [quant-ph] (2024)
[6] T. Shitara, G. Mintzer, Y. Tokunaga, and S. Endo, “Exploiting Translational Symmetry for Quantum Computing with Squeezed Cat Qubits,” arXiv:2510.00497 [quant-ph] (2025).
[7] S. Endo, H. Hakoshima, and T. Shitara, “Non-Markovianity in Quantum Information Processing: Interplay with Quantum Error Mitigation,” arXiv:2510.20224 [quant-ph] (2025).
