Stroboscopic small-Big-small sequences with an auxiliary qubit stabilize cat and squeezed-cat manifolds, preserve bit-flip bias, and partially correct single-photon loss without reservoir engineering.
Encoding qubits in multimode grid states
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abstract
Encoding logical quantum information in harmonic oscillator modes is a promising and hardware-efficient approach to the realization of a quantum computer. In this work, we propose to encode logical qubits in grid states of an ensemble of harmonic oscillator modes. We first discuss general results about these multimode bosonic codes; how to design them, how to practically implement them in different experimental platforms and how lattice symmetries can be leveraged to perform logical non-Clifford operations. We then introduce in detail two two-mode grid codes based on the hypercubic and D4 lattices, respectively, showing how to perform a universal set of logical operations. We demonstrate numerically that multimode grid codes have, compared to their single-mode counterpart, increased robustness against propagation of errors from ancillas used for error correction. Finally, we highlight some interesting links between multidimensional lattices and single-mode grid codes concatenated with qubit codes.
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quant-ph 1years
2026 1verdicts
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Stroboscopic Stabilization of Cat Qubits
Stroboscopic small-Big-small sequences with an auxiliary qubit stabilize cat and squeezed-cat manifolds, preserve bit-flip bias, and partially correct single-photon loss without reservoir engineering.