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Quantum error correction of a qubit encoded in grid states of an oscillator

Philippe Campagne-Ibarcq 1, 2 Alec Eickbusch 1 Steven Touzard 1 Evan Zalys-Geller 1 Nicholas E. Frattini 1 Volodymyr V. Sivak 1 Philip Reinhold 1 Shruti Puri 1 Shyam Shankar 1 Robert J. Schoelkopf 1 Luigi Frunzio 1 Mazyar Mirrahimi 2 Michel H. Devoret 1
2 QUANTIC - QUANTum Information Circuits
ENS Paris - École normale supérieure - Paris, MINES ParisTech - École nationale supérieure des mines de Paris, SU - Sorbonne Université, Inria de Paris
Abstract : Quantum bits are more robust to noise when they are encoded non-locally. In such an encoding, errors affecting the underlying physical system can then be detected and corrected before they corrupt the encoded information. In 2001, Gottesman, Kitaev and Preskill (GKP) proposed a hardware-efficient instance of such a qubit, which is delocalised in the phase-space of a single oscillator. However, implementing measurements that reveal error syndromes of the oscillator while preserving the encoded information has proved experimentally challenging: the only realisation so far relied on post-selection, which is incompatible with quantum error correction (QEC). The novelty of our experiment is precisely that it implements these non-destructive error-syndrome measurements for a superconducting microwave cavity. We design and implement an original feedback protocol that incorporates such measurements to prepare square and hexagonal GKP code states. We then demonstrate QEC of an encoded qubit with unprecedented suppression of all logical errors, in quantitative agreement with a theoretical estimate based on the measured imperfections of the experiment. Our protocol is applicable to other continuous variable systems and, in contrast with previous implementations of QEC, can mitigate all logical errors generated by a wide variety of noise processes, and open a way towards fault-tolerant quantum computation.
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https://hal.inria.fr/hal-03084673
Contributor : Mazyar Mirrahimi <>
Submitted on : Monday, December 21, 2020 - 12:00:12 PM
Last modification on : Wednesday, December 23, 2020 - 3:37:47 AM

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  • HAL Id : hal-03084673, version 1
  • ARXIV : 1907.12487

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Philippe Campagne-Ibarcq, Alec Eickbusch, Steven Touzard, Evan Zalys-Geller, Nicholas E. Frattini, et al.. Quantum error correction of a qubit encoded in grid states of an oscillator. Nature, Nature Publishing Group, 2020, 584. ⟨hal-03084673⟩

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