Towards early fault tolerance on a 2$\times$N array of qubits equipped with shuttling

• URL: http://arxiv.org/abs/2402.12599v3
• Date: Tue, 26 Nov 2024 10:23:16 GMT
• Title: Towards early fault tolerance on a 2$\times$N array of qubits equipped with shuttling
• Authors: Adam Siegel, Armands Strikis, Michael Fogarty,
• Abstract summary: 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.
• Score: 0.0
• License:
• Abstract: It is well understood that a two-dimensional grid of locally-interacting qubits is a promising platform for achieving fault tolerant quantum computing. However in the near-future, it may prove less challenging to develop lower dimensional structures. In this paper, we show that such constrained architectures can also support fault tolerance; specifically we explore a 2$\times$N array of qubits where the interactions between non-neighbouring qubits are enabled by shuttling the logical information along the rows of the array. Despite the apparent constraints of this setup, we demonstrate that error correction is possible and identify the classes of codes that are naturally suited to this platform. Focusing on silicon spin qubits as a practical example of qubits believed to meet our requirements, we provide a protocol for achieving full universal quantum computation with the surface code, while also addressing the additional constraints that are specific to a silicon spin qubit device. Through numerical simulations, we evaluate the performance of this architecture using a realistic noise model, demonstrating that both surface code and more complex qLDPC codes efficiently suppress gate and shuttling noise to a level that allows for the execution of quantum algorithms within the classically intractable regime. This work thus brings us one step closer to the execution of quantum algorithms that outperform classical machines.

Related papers

• A Fast and Adaptable Algorithm for Optimal Multi-Qubit Pathfinding in Quantum Circuit Compilation [0.0]
  This work focuses on multi-qubit pathfinding as a critical subroutine within the quantum circuit compilation mapping problem. We introduce an algorithm, modelled using binary integer linear programming, that navigates qubits on quantum hardware optimally with respect to circuit SWAP-gate depth. We have benchmarked the algorithm across a variety of quantum hardware layouts, assessing properties such as computational runtimes, solution SWAP depths, and accumulated SWAP-gate error rates.
  arXiv  Detail & Related papers  (2024-05-29T05:59:15Z)
• A Quantum-Classical Collaborative Training Architecture Based on Quantum State Fidelity [50.387179833629254]
  We introduce a collaborative classical-quantum architecture called co-TenQu. Co-TenQu enhances a classical deep neural network by up to 41.72% in a fair setting. It outperforms other quantum-based methods by up to 1.9 times and achieves similar accuracy while utilizing 70.59% fewer qubits.
  arXiv  Detail & Related papers  (2024-02-23T14:09:41Z)
• Comparative study of quantum error correction strategies for the heavy-hexagonal lattice [44.99833362998488]
  Topological quantum error correction is a milestone in the scaling roadmap of quantum computers. The square-lattice surface code has become the workhorse to address this challenge. In some platforms, however, the connectivities are kept even lower in order to minimise gate errors.
  arXiv  Detail & Related papers  (2024-02-03T15:28:27Z)
• 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)
• Quantum Gate Optimization for Rydberg Architectures in the Weak-Coupling Limit [55.05109484230879]
  We demonstrate machine learning assisted design of a two-qubit gate in a Rydberg tweezer system. We generate optimal pulse sequences that implement a CNOT gate with high fidelity. We show that local control of single qubit operations is sufficient for performing quantum computation on a large array of atoms.
  arXiv  Detail & Related papers  (2023-06-14T18:24:51Z)
• Pipeline quantum processor architecture for silicon spin qubits [0.0]
  Noisy intermediate-scale quantum (NISQ) devices seek to achieve quantum advantage over classical systems. We propose a NISQ processor architecture using a qubit pipeline' in which all run-time control is applied globally. This is achieved by progressing qubit states through a layered physical array of structures.
  arXiv  Detail & Related papers  (2023-06-13T10:35:01Z)
• Hardness of braided quantum circuit optimization in the surface code [0.1759008116536278]
  Large-scale quantum information processing requires the use of quantum error codes to mitigate the effects of noise in quantum devices. Topological error-correcting codes, such as surface codes, are promising candidates as they can be implemented using only local interactions in a two-dimensional array of physical qubits. However, error correction also introduces a significant overhead in time, the number of physical qubits, and the number of physical gates.
  arXiv  Detail & Related papers  (2023-02-01T06:35:50Z)
• 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)
• 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)
• Space-efficient binary optimization for variational computing [68.8204255655161]
  We show that it is possible to greatly reduce the number of qubits needed for the Traveling Salesman Problem. We also propose encoding schemes which smoothly interpolate between the qubit-efficient and the circuit depth-efficient models.
  arXiv  Detail & Related papers  (2020-09-15T18:17:27Z)
• 2D Qubit Placement of Quantum Circuits using LONGPATH [1.6631602844999722]
  Two algorithms are proposed to optimize the number of SWAP gates in any arbitrary quantum circuit. Our approach has a significant reduction in number of SWAP gates in 1D and 2D NTC architecture.
  arXiv  Detail & Related papers  (2020-07-14T04:09:52Z)

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.