Realization of real-time fault-tolerant quantum error correction

Ryan-Anderson, Ciarán; Bohnet, Justin; Lee, Kenneth; Gresh, Daniel; Hankin, Aaron; Gaebler, John; Francois, David; Chernoguzov, Alexander; Lucchetti, Dominic; Brown, Natalie; Gatterman, T. M.; Halit, Si Khadir; Gilmore, Kevin; Gerber, Justin; Neyenhuis, Brian; Hayes, David; Stutz, Russell

doi:10.1117/12.2614870

Cited by 8 publications

(8 citation statements)

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“…The 24 pairwise CZ gates have a mean duration of 98 (7) ns, including two conservatively chosen 15-ns-long buffers at the beginning and the end, and display a mean gate error of 0.015 (10). The gate error histogram, displayed as an integrated (cumulative) distribution, shows variations of about a factor of four in two-qubit gate error (Fig 1d).…”

Section: A Distance-three Surface Code In Superconducting Circuitsmentioning

confidence: 99%

“…A metric commonly used to assess the performance of quantum error correction compares the logical error per cycle L to the dominant error on the physical level, typically the two-qubit gate error 2Q [10,51]. Such a comparison is particularly relevant in architectures in which the logical two-qubit gate error is dominated by errors L in the quantum error correction cycles belonging to or following the logical two-qubit gate operation.…”

Section: Performance Assessment and Projectionmentioning

confidence: 99%

“…In our experiments, we demonstrate the viability of realizing quantum error correction in the surface code by detecting errors during the error correction cycle, and decoding the error syndromes and correcting for errors in postprocessing, which is sufficient in a quantum memory setting. Next generation experiments will provide the capability of correcting errors during the cycle using realtime decoding [10] and fast in-sequence feedback [37], implemented with dedicated digital electronics. Feedback will also enable the mid-cycle suppression of leakage [54], for example by auxiliary qubit reset.…”

Section: Performance Assessment and Projectionmentioning

confidence: 99%

“…In singlecycle experiments, fault-tolerant stabilizer measurements and correction of both types of errors have been demonstrated with the five-qubit code and the Bacon-Shor code [19][20][21][22]. Recently, error detection in a distance-two surface code has been realized with seven qubits [7][8][9], and only very recently, repeated stabilizer-based error correction has been demonstrated with a distance-three color code in a trapped ion system [10].…”

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confidence: 99%

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Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code

Krinner,

Lacroix,

Remm

et al. 2021

Preprint

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Quantum computers hold the promise of solving computational problems which are intractable using conventional methods [1]. For fault-tolerant operation quantum computers must correct errors occurring due to unavoidable decoherence and limited control accuracy [2]. Here, we demonstrate quantum error correction using the surface code, which is known for its exceptionally high tolerance to errors [3][4][5][6]. Using 17 physical qubits in a superconducting circuit we encode quantum information in a distance-three logical qubit building up on recent distance-two error detection experiments [7][8][9]. In an error correction cycle taking only 1.1 µs, we demonstrate the preservation of four cardinal states of the logical qubit. Repeatedly executing the cycle, we measure and decode both bit-and phase-flip error syndromes using a minimum-weight perfect-matching algorithm in an error-modelfree approach and apply corrections in postprocessing. We find a low error probability of 3 % per cycle when rejecting experimental runs in which leakage is detected. The measured characteristics of our device agree well with a numerical model. Our demonstration of repeated, fast and highperformance quantum error correction cycles, together with recent advances in ion traps [10], support our understanding that fault-tolerant quantum computation will be practically realizable.

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Section: A Distance-three Surface Code In Superconducting Circuitsmentioning

confidence: 99%

Section: Performance Assessment and Projectionmentioning

confidence: 99%

Section: Performance Assessment and Projectionmentioning

confidence: 99%

mentioning

confidence: 99%

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Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code

Krinner,

Lacroix,

Remm

et al. 2021

Preprint

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“…The color code has seen several interesting generalizations [10][11][12][13][14][15][16][17][18][19][20] and has also been experimentally realized [21][22][23][24][25][26][27]. Apart from direct generalizations several theoretical works have explored the physics and error correction properties of the color code and related models [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47].…”

mentioning

confidence: 99%

Non-CSS color codes on 2D lattices : Models and Topological Properties

Padmanabhan¹,

Chowdhury²,

Sugino³

et al. 2021

Preprint

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The two-dimensional color code is an alternative to the toric code that encodes more logical qubits while maintaining crucial features of the Z2 × Z2 toric code in the long wavelength limit. However its short range physics include single qubit Pauli operations that violate either three or six stabilisers as opposed to the toric code where single qubit Pauli operations violate two or four stabilisers. Exploiting this fact we construct several non-CSS versions of the two-dimensional color code falling into two families -those where either three, four or five stabilisers are violated and those which violate exactly four stabilisers for all the three types of single qubit Pauli operations. These models are not equivalent to the original color code by a local unitary transformation. While several such models are possible, we identify those models that have the same long range properties as the original color code. As a consequence of the non-CSS structure, the logical operators are of a mixed type which in some cases include all the three Pauli operators making them potentially useful for protection against biased Pauli noise.

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