Quantum error correction with dissipatively stabilized squeezed cat qubits
Noise-biased qubits are a promising route toward significantly reducing the hardware overhead associated with quantum error correction. The squeezed cat code, a non-local encoding in phase space based on squeezed coherent states, is an example of a noise-biased (bosonic) qubit with exponential error bias. We propose and analyze the error correction performance of a dissipatively stabilized squeezed cat qubit and find that for moderate squeezing the bit-flip error rate gets significantly reduced in comparison with the ordinary cat qubit while leaving the phase flip rate unchanged. Additionally, the squeezing enables faster and higher-fidelity gates but introduces a vulnerability to oscillator Kerr-type nonlinearities.
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