Qubit Zoo

Bias-preserving gates with stabilized cat qubits

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Proposes a universal gate set for Kerr-cat qubits that preserves the exponential bit-flip suppression (noise bias) throughout computation. Shows that bias-preserving CNOT gates are achievable via parametric coupling between two cat qubits, enabling concatenation with repetition codes for highly efficient fault tolerance.

Key Results

  • Zα, Xα (single-cat) gates preserve noise bias
  • Bias-preserving CNOT via ZZ coupling between cats
  • Toffoli gate achievable with constant overhead
  • Concatenation with repetition code achieves 10⁻¹⁵ logical error rate with ~1500 physical qubits (vs ~100,000 for surface code with unbiased noise)

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