Realization of real-time fault-tolerant quantum error correction

Ryan-Anderson, C.; Bohnet, J. G.; Lee, K.; Gresh, D.; Hankin, A.; Gaebler, J. P.; Francois, D.; Chernoguzov, A.; Lucchetti, D.; Brown, N. C.; Gatterman, T. M.; Halit, S. K.; Gilmore, K.; Gerber, J.; Neyenhuis, B.; Hayes, D.; Stutz, R. P.

doi:10.48550/arxiv.2107.07505

Cited by 33 publications

(42 citation statements)

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“…Other applications of interactive quantum protocols include certifiable random number generation, remote state preparation and the verification of arbitrary quantum computations 15,19,20 . Finally, the advent of mid-circuit measurement capabilities in a number of platforms 27,28,42,43 , enables the exploration of new phenomena such as entanglement phase transitions [44][45][46] as well as the demonstration of coherent feedback protocols including quantum error correction 26 .…”

Section: Beating the Classical Thresholdmentioning

confidence: 99%

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Interactive Protocols for Classically-Verifiable Quantum Advantage

Zhu¹,

Kahanamoku–Meyer²,

Lewis³

et al. 2021

Preprint

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Section: Beating the Classical Thresholdmentioning

confidence: 99%

“…In this work, we implement two complementary interactive protocols, involving up to 11 trapped ion qubits and 145 gates; interactions are enabled by mid-circuit measurements on a portion of the one dimensional ion chain (Fig. 2) [26][27][28] .…”

mentioning

confidence: 99%

Interactive Protocols for Classically-Verifiable Quantum Advantage

Zhu¹,

Kahanamoku–Meyer²,

Lewis³

et al. 2021

Preprint

View full text Add to dashboard Cite

“…Progress towards scalable fault-tolerant quantum computation relies on exploiting quantum error correction (QEC) to protect quantum systems against inevitable noises [1][2][3][4][5][6][7]. Notable experimental implementations on a variety of QEC architectures include surface code [8][9][10][11], repetition code [9], Bosonic code [12][13][14], Shor code [15,16], color code [17,18], [ [5,1,3]] code [19] etc. [20,21].…”

Section: Introductionmentioning

confidence: 99%

Realization of an Error-Correcting Surface Code with Superconducting Qubits

Zhao,

Ye,

Huang

et al. 2021

Preprint

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Quantum error correction is a critical technique for transitioning from noisy intermediate-scale quantum (NISQ) devices to fully fledged quantum computers. The surface code, which has a high threshold error rate, is the leading quantum error correction code for two-dimensional grid architecture. So far, the repeated error correction capability of the surface code has not been realized experimentally. Here, we experimentally implement an error-correcting surface code, the distance-3 surface code which consists of 17 qubits, on the Zuchongzhi 2.1 superconducting quantum processor. By executing several consecutive error correction cycles, the logical error can be significantly reduced after applying corrections, achieving the repeated error correction of surface code for the first time. This experiment represents a fully functional instance of an error-correcting surface code, providing a key step on the path towards scalable fault-tolerant quantum computing.

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“…One effective way is storing redundant information in qubit-based quantum systems where logical qubits are encoded by a large amount of physical qubits. Many experiments have demonstrated quantum error correction with multiple qubits in various platforms such as superconducting [4][5][6][7][8][9][10], ion traps [11][12][13] and nuclear magnetic resonance (NMR) [14,15] systems. However, scaling up the number of qubits in these systems is extremely challenging [16].…”

Section: Introductionmentioning

confidence: 99%

Quantum error correction with the color-Gottesman-Kitaev-Preskill code

Zhang,

Zhao,

et al. 2021

Preprint

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The Gottesman-Kitaev-Preskill (GKP) code is an important type of bosonic quantum errorcorrecting code. Since the GKP code only protects against small shift errors in p and q quadratures, it is necessary to concatenate the GKP code with a stabilizer code for the larger error correction. In this paper, we consider the concatenation of the single-mode GKP code with the two-dimension (2D) color code (color-GKP code) on the square-octagon lattice. We use the Steane type scheme with a maximum-likelihood estimation (ME-Steane scheme) for GKP error correction and show its advantage for the concatenation. In our main work, the minimum-weight perfect matching (MWPM) algorithm is applied to decode the color-GKP code. Complemented with the continuous-variable information from the GKP code, the threshold of 2D color code is improved. If only data GKP qubits are noisy, the threshold reaches σ ≈ 0.59 (p ≈ 13.3%) compared with p = 10.2% of the normal 2D color code. If measurements are also noisy, we introduce the generalized Restriction Decoder on the three-dimension space-time graph for decoding. The threshold reaches σ ≈ 0.46 when measurements in the GKP error correction are noiseless, and σ ≈ 0.24 when all measurements are noisy. Lastly, the good performance of the generalized Restriction Decoder is also shown on the normal 2D color code giving the threshold at 3.1% under the phenomenological error model.

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Realization of real-time fault-tolerant quantum error correction

Cited by 33 publications

References 0 publications

Interactive Protocols for Classically-Verifiable Quantum Advantage

Interactive Protocols for Classically-Verifiable Quantum Advantage

Realization of an Error-Correcting Surface Code with Superconducting Qubits

Quantum error correction with the color-Gottesman-Kitaev-Preskill code

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