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W47: Superconducting Bosonic and GKP Qubits


Sponsoring Units: DQIChair: Long Nguyen, University of California, Berkeley

Thu. March 7, 4:48 p.m. – 5:00 p.m. CST


A promising route towards fault-tolerant error correction is the concatenation of a Gottesman-Kitaev-Preskill (GKP) code with a qubit code. Development of such concatenated codes requires simulation tools which realistically model noise, while being able to simulate the dynamics of many modes. However, so far, large-scale simulation tools for concatenated GKP codes have been limited to idealized noise models and GKP code implementations. Here, we introduce the Bosonic Pauli+ model (BP+), which can be simulated efficiently for a large number of modes, while accurately capturing the rich dynamics in the bosonic multi-mode Hilbert space for a realistic finite-energy GKP code stabilized with the sBs protocol, with given physical decoherence rates. BP+ relies on a new decomposition of the GKP Hilbert space into a logical and an error subsystem, which we call the sBs basis. Confidence in the accuracy of BP+ is gained by comparing predictions of BP+ and full time evolution simulations, for several deep quantum circuits of interest. Using BP+, logical error rates of a concatenated code implementation are presented. BP+ may also be applicable to other bosonic codes.

Presented By

  • Florian Hopfmueller (Nord Quantique)


  • Florian Hopfmueller (Nord Quantique)
  • Maxime Tremblay (Nord Quantique)
  • Philippe St-Jean (Nord Quantique)
  • Baptiste Royer (Université de Sherbrooke)
  • Marc-Antoine Lemonde (Nord Quantique)