Fault-Tolerant Parity Readout on a Shuttling-Based Trapped-Ion Quantum Computer

Hilder, Janine; Pijn, D. R. M.; Onishchenko, O.; Stahl, A.; Orth, Maximilian; Lekitsch, Bjoern; Blanco, Almudena; Müller, Markus; Schmidt‐Kaler, F.; Poschinger, Ulrich

doi:10.1103/physrevx.12.011032

Cited by 47 publications

(31 citation statements)

References 86 publications

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“…First, there are three types of inequivalent [345] bulk vertices to choose from, Eqs. ( 22), ( 23) and (24). We will begin our construction from the first configuration in each of these inequivalent classes guaranteeing three inequivalent stabilizer codes.…”

Section: B Construction Of [345]-color Codesmentioning

confidence: 99%

“…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%

“…Thus we consider permutations of xyyzzz to build the stabilizers around the [345] bulk vertices.We have three sets of operator pairs that satisfy the anticommuting rule for the xyyzzz configurations, each set given by Eqs. (22), (23),(24) the operator pairs can be obtained from each other by shuffling. Thus each set can be represented by a single pair of operators.…”

mentioning

confidence: 99%

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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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Section: B Construction Of [345]-color Codesmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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

Padmanabhan¹,

Chowdhury²,

Sugino³

et al. 2021

Preprint

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“…Standard qubit-based QEC protocols require measurements of qubits that are coupled to the encoded data, followed by real-time feedback operations. Experimental realizations of quantum error correction have seen great progress and range from repetition [5][6][7] and error detection codes [8,9] to recent fault-tolerant implementations [10][11][12][13]. While performing in-sequence measurements and real-time feedback is experimentally challenging, it has been achieved in various hardware platforms and application contexts [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Quantum Error Correction with Quantum Autoencoders

Locher¹,

Cardarelli²,

Müller³

2022

Preprint

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Active quantum error correction is a central ingredient to achieve robust quantum processors. In this paper we investigate the potential of quantum machine learning for quantum error correction. Specifically, we demonstrate how quantum neural networks, in the form of quantum autoencoders, can be trained to learn optimal strategies for active detection and correction of errors, including spatially correlated computational errors as well as qubit losses. We highlight that the denoising capabilities of quantum autoencoders are not limited to the protection of specific states but extend to the entire logical codespace. We also show that quantum neural networks can be used to discover new logical encodings that are optimally adapted to the underlying noise. Moreover, we find that, even in the presence of moderate noise in the quantum autoencoders themselves, they may still be successfully used to perform beneficial quantum error correction.

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“…Recently, QCCD architectures have been used to demonstrate fault-tolerant quantum computation [18,23,24].…”

Section: Introductionmentioning

confidence: 99%

A high-fidelity quantum matter-link between ion-trap microchip modules

Akhtar¹,

Bonus²,

Lebrun-Gallagher³

et al. 2022

Preprint

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System scalability is fundamental for large-scale quantum computers (QCs) and is being pursued over a variety of hardware platforms [1][2][3][4][5][6]. For QCs based on trapped ions, architectures such as the quantum charge-coupled device (QCCD) are used to scale the number of qubits on a single device [7,8]. However, the number of ions that can be hosted on a single quantum computing module is limited by the size of the chip being used. Therefore, a modular approach is of critical importance and requires quantum connections between individual modules. Here, we present the demonstration of a quantum matter-link in which ion qubits are transferred between adjacent QC modules. Ion transport between adjacent modules is realised at a rate of 2424 s −1 and with an ion-transfer fidelity in excess of 99.999993%. Furthermore, we show that the link does not measurably impact the phase coherence of the qubit. The realisation of the quantum matter-link demonstrates a novel mechanism for interconnecting QCCD devices. This achieves a key milestone for the implementation of modular QCs capable of hosting millions of trapped-ion qubits.

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Fault-Tolerant Parity Readout on a Shuttling-Based Trapped-Ion Quantum Computer

Cited by 47 publications

References 86 publications

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

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

Quantum Error Correction with Quantum Autoencoders

A high-fidelity quantum matter-link between ion-trap microchip modules

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