Error Rates and Resource Overheads of Repetition Cat Qubits

• URL: http://arxiv.org/abs/2009.10756v2
• Date: Wed, 31 Mar 2021 13:32:28 GMT
• Title: Error Rates and Resource Overheads of Repetition Cat Qubits
• Authors: J\'er\'emie Guillaud and Mazyar Mirrahimi
• Abstract summary: We analyze the error rates and the resource overheads of the repetition cat qubit approach to universal and fault-tolerant quantum computation. Using only bias-preserving gates on the cat-qubits, it is possible to build a universal set of fault-tolerant logical gates.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We estimate and analyze the error rates and the resource overheads of the repetition cat qubit approach to universal and fault-tolerant quantum computation. The cat qubits stabilized by two-photon dissipation exhibit an extremely biased noise where the bit-flip error rate is exponentially suppressed with the mean number of photons. In a recent work, we suggested that the remaining phase-flip error channel could be suppressed using a 1D repetition code. Indeed, using only bias-preserving gates on the cat-qubits, it is possible to build a universal set of fault-tolerant logical gates at the level of the repetition cat qubit. In this paper, we perform Monte-Carlo simulations of all the circuits implementing the protected logical gates, using a circuit-level error model. Furthermore, we analyze two different approaches to implement a fault-tolerant Toffoli gate on repetition cat qubits. These numerical simulations indicate that very low logical error rates could be achieved with a reasonable resource overhead, and with parameters that are within the reach of near-term circuit QED experiments.

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