A fault-tolerant continuous-variable measurement-based quantum computation architecture

• URL: http://arxiv.org/abs/2101.03014v3
• Date: Sat, 28 Aug 2021 12:02:11 GMT
• Title: A fault-tolerant continuous-variable measurement-based quantum computation architecture
• Authors: Mikkel V. Larsen, Christopher Chamberland, Kyungjoo Noh, Jonas S. Neergaard-Nielsen, Ulrik L. Andersen
• Abstract summary: Continuous variable measurement-based quantum computation on cluster states has great potential for scalable, universal, and fault-tolerant quantum computation. No complete fault-tolerant architecture exists that includes everything from cluster state generation with finite squeezing to gate implementations with realistic noise and error correction. We propose a simple architecture for the preparation of a cluster state in three dimensions in which gates by gate teleportation can be efficiently implemented.
• Score: 0.9786690381850356
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Continuous variable measurement-based quantum computation on cluster states has in recent years shown great potential for scalable, universal, and fault-tolerant quantum computation when combined with the Gottesman-Kitaev-Preskill (GKP) code and quantum error correction. However, no complete fault-tolerant architecture exists that includes everything from cluster state generation with finite squeezing to gate implementations with realistic noise and error correction. In this work, we propose a simple architecture for the preparation of a cluster state in three dimensions in which gates by gate teleportation can be efficiently implemented. To accommodate scalability, we propose architectures that allow for both spatial and temporal multiplexing, with the temporal encoded version requiring as little as two squeezed light sources. Due to its three-dimensional structure, the architecture supports topological qubit error correction, while GKP error correction is efficiently realized within the architecture by teleportation. To validate fault-tolerance, the architecture is simulated using surface-GKP codes, including noise from GKP-states as well as gate noise caused by finite squeezing in the cluster state. We find a fault-tolerant squeezing threshold of 12.7 dB with room for further improvement.

Related papers

• Towards early fault tolerance on a 2$\times$N array of qubits equipped with shuttling [0.0]
  Two-dimensional grid of locally-interacting qubits is promising platform for fault tolerant quantum computing. In this paper, we show that such constrained architectures can also support fault tolerance. We demonstrate that error correction is possible and identify the classes of codes that are naturally suited to this platform.
  arXiv  Detail & Related papers  (2024-02-19T23:31:55Z)
• A complete continuous-variable quantum computation architecture based on the 2D spatiotemporal cluster state [5.00127829918438]
  Continuous repetition-based quantum computation is a promising candidate for practical, scalable, universal, and fault-tolerant quantum computation. In this work, a complete architecture including cluster state preparation, gate implementations, and error correction is demonstrated.
  arXiv  Detail & Related papers  (2023-12-21T14:21:33Z)
• Optimizing quantum gates towards the scale of logical qubits [78.55133994211627]
  A foundational assumption of quantum gates theory is that quantum gates can be scaled to large processors without exceeding the error-threshold for fault tolerance. Here we report on a strategy that can overcome such problems. We demonstrate it by choreographing the frequency trajectories of 68 frequency-tunablebits to execute single qubit while superconducting errors.
  arXiv  Detail & Related papers  (2023-08-04T13:39:46Z)
• Deep Quantum Error Correction [73.54643419792453]
  Quantum error correction codes (QECC) are a key component for realizing the potential of quantum computing. In this work, we efficiently train novel emphend-to-end deep quantum error decoders. The proposed method demonstrates the power of neural decoders for QECC by achieving state-of-the-art accuracy.
  arXiv  Detail & Related papers  (2023-01-27T08:16:26Z)
• Streamlined quantum computing with macronode cluster states [0.0]
  We show that a Clifford gate and GKP error correction can be simultaneously implemented in a single teleportation step. We find that logical error rates of $10-2$-$10-3$, compatible with the thresholds of topological codes, can be achieved with squeezing of 11.9-13.7 dB.
  arXiv  Detail & Related papers  (2021-09-10T05:07:34Z)
• Realization of arbitrary doubly-controlled quantum phase gates [62.997667081978825]
  We introduce a high-fidelity gate set inspired by a proposal for near-term quantum advantage in optimization problems. By orchestrating coherent, multi-level control over three transmon qutrits, we synthesize a family of deterministic, continuous-angle quantum phase gates acting in the natural three-qubit computational basis.
  arXiv  Detail & Related papers  (2021-08-03T17:49:09Z)
• Single-shot quantum error correction with the three-dimensional subsystem toric code [77.34726150561087]
  We introduce a new topological quantum code, the three-dimensional subsystem toric code (3D STC) The 3D STC can be realized by measuring geometrically-local parity checks of weight at most three on the cubic lattice with open boundary conditions.
  arXiv  Detail & Related papers  (2021-06-04T17:35:00Z)
• Engineering fast bias-preserving gates on stabilized cat qubits [64.20602234702581]
  bias-preserving gates can significantly reduce resource overhead for fault-tolerant quantum computing. In this work, we apply a derivative-based leakage suppression technique to overcome non-adiabatic errors.
  arXiv  Detail & Related papers  (2021-05-28T15:20:21Z)
• Hardware-Efficient, Fault-Tolerant Quantum Computation with Rydberg Atoms [55.41644538483948]
  We provide the first complete characterization of sources of error in a neutral-atom quantum computer. We develop a novel and distinctly efficient method to address the most important errors associated with the decay of atomic qubits to states outside of the computational subspace. Our protocols can be implemented in the near-term using state-of-the-art neutral atom platforms with qubits encoded in both alkali and alkaline-earth atoms.
  arXiv  Detail & Related papers  (2021-05-27T23:29:53Z)
• Fault-tolerant quantum computation with static linear optics [0.0]
  In this work we propose a topologically error-corrected architecture that does away with these elements at no cost. Our computer consists of three modules: a 2D array of probabilistic sources of GKP states; a depth-four circuit of static beamsplitters, phase shifters, and single-time-step delay lines. The symmetry of our proposed circuit allows us to combine the effects of finite squeezing and uniform photon loss within the noise model, resulting in more comprehensive threshold estimates.
  arXiv  Detail & Related papers  (2021-04-07T16:43:34Z)
• Architecture and noise analysis of continuous-variable quantum gates using two-dimensional cluster states [0.0]
  We propose a measurement-based quantum computing architecture for the implementation of a universal set of gates on two-dimensional cluster states. We compare the four different states and find that, although they all allow for universal computation, the quad-rail lattice cluster state performs better than the other three states.
  arXiv  Detail & Related papers  (2020-05-27T17:42:42Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.