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Repetition Cat Qubits for Fault-Tolerant Quantum Computation

Jérémie Guillaud 1 Mazyar Mirrahimi 1
1 QUANTIC - QUANTum Information Circuits
MINES ParisTech - École nationale supérieure des mines de Paris, ENS Paris - École normale supérieure - Paris, SU - Sorbonne Université, Inria de Paris
Abstract : We present a 1D repetition code based on the so-called cat qubits as a viable approach toward hardware-efficient universal and fault-tolerant quantum computation. The cat qubits that are stabilized by a two-photon driven-dissipative process exhibit a tunable noise bias where the effective bit-flip errors are exponentially suppressed with the average number of photons. We propose a realization of a set of gates on the cat qubits that preserve such a noise bias. Combining these base qubit operations, we build, at the level of the repetition cat qubit, a universal set of fully protected logical gates. This set includes single-qubit preparations and measurements, not, controlled-not, and controlled-controlled-not (Toffoli) gates. Remarkably, this construction avoids the costly magic state preparation, distillation, and injection. Finally, all required operations on the cat qubits could be performed with slight modifications of existing experimental setups.
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https://hal.inria.fr/hal-02413978
Contributor : Mazyar Mirrahimi <>
Submitted on : Monday, December 16, 2019 - 2:08:14 PM
Last modification on : Tuesday, July 21, 2020 - 3:22:50 AM

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Jérémie Guillaud, Mazyar Mirrahimi. Repetition Cat Qubits for Fault-Tolerant Quantum Computation. Physical Review X, American Physical Society, 2019, ⟨10.1103/PhysRevX.9.041053⟩. ⟨hal-02413978⟩

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