High-rate quantum LDPC codes for long-range-connected neutral atom registers

• URL: http://arxiv.org/abs/2404.13010v2
• Date: Thu, 30 Jan 2025 10:11:43 GMT
• Title: High-rate quantum LDPC codes for long-range-connected neutral atom registers
• Authors: Laura Pecorari, Sven Jandura, Gavin K. Brennen, Guido Pupillo,
• Abstract summary: High-rate quantum error correcting (QEC) codes with moderate overheads in qubit number and control complexity are desirable for fault-tolerant quantum computing. We analyze a family of Low-Density Parity-Check (LDPC) codes with limited long-range interactions and outline a near-term implementation in neutral atom registers.
• Score: 0.0
• License:
• Abstract: High-rate quantum error correcting (QEC) codes with moderate overheads in qubit number and control complexity are highly desirable for achieving fault-tolerant quantum computing. Recently, quantum error correction has experienced significant progress both in code development and experimental realizations, with neutral atom qubit architecture rapidly establishing itself as a leading platform in the field. Scalable quantum computing will require processing with QEC codes that have low qubit overhead and large error suppression, and while such codes do exist, they involve a degree of non-locality that has yet to be integrated into experimental platforms. In this work, we analyze a family of high-rate Low-Density Parity-Check (LDPC) codes with limited long-range interactions and outline a near-term implementation in neutral atom registers. By means of circuit-level simulations, we find that these codes outperform surface codes in all respects when the two-qubit nearest neighbour gate error probability is below $\sim 0.1\%$. By using multiple laser colors, we show how these codes can be natively integrated in two-dimensional static neutral atom qubit architectures with open boundaries, where the desired long-range connectivity can be targeted via the Rydberg blockade interaction.

Related papers

• Optimizing compilation of error correction codes for 2xN quantum dot arrays and its NP-hardness [2.7817719859314263]
  Hardware-specific error correction codes can achieve fault-tolerance while respecting other constraints. Recent advancements have demonstrated the shuttling of electron and hole spin qubits through a quantum dot array with high fidelity. We develop a suite of methods for compiling any stabilizer error-correcting code's syndrome-extraction circuit to run with a minimal number of shuttling operations.
  arXiv  Detail & Related papers  (2025-01-15T19:00:00Z)
• Extending Quantum Perceptrons: Rydberg Devices, Multi-Class Classification, and Error Tolerance [67.77677387243135]
  Quantum Neuromorphic Computing (QNC) merges quantum computation with neural computation to create scalable, noise-resilient algorithms for quantum machine learning (QML) At the core of QNC is the quantum perceptron (QP), which leverages the analog dynamics of interacting qubits to enable universal quantum computation.
  arXiv  Detail & Related papers  (2024-11-13T23:56:20Z)
• Non-local resources for error correction in quantum LDPC codes [0.0]
  Surface code suffers from a low encoding rate, requiring a vast number of physical qubits for large-scale quantum computation. hypergraph product codes present a promising alternative, as both their encoding rate and distance scale with block size. Recent advancements have shown how to deterministically perform high-fidelity cavity enabled non-local many-body gates.
  arXiv  Detail & Related papers  (2024-09-09T17:28:41Z)
• 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)
• 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)
• QuantumSEA: In-Time Sparse Exploration for Noise Adaptive Quantum Circuits [82.50620782471485]
  QuantumSEA is an in-time sparse exploration for noise-adaptive quantum circuits. It aims to achieve two key objectives: (1) implicit circuits capacity during training and (2) noise robustness. Our method establishes state-of-the-art results with only half the number of quantum gates and 2x time saving of circuit executions.
  arXiv  Detail & Related papers  (2024-01-10T22:33:00Z)
• Constant-Overhead Fault-Tolerant Quantum Computation with Reconfigurable Atom Arrays [5.542275446319411]
  We propose a hardware-efficient scheme to perform fault-tolerant quantum computation with high-rate qLDPC codes on reconfigurable atom arrays. Our work paves the way for explorations of low-overhead quantum computing with qLDPC codes at a practical scale.
  arXiv  Detail & Related papers  (2023-08-16T19:47:17Z)
• 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)
• Low-overhead fault-tolerant quantum computing using long-range connectivity [2.867517731896504]
  Scheme for low-overhead fault-tolerant quantum computation based on quantum low-density parity-check codes. We estimate order-of-magnitude improvements in the overheads for processing around one hundred logical qubits.
  arXiv  Detail & Related papers  (2021-10-20T21:49:48Z)
• 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 Coding for Quantum Communication [71.206200318454]
  encode and decode circuits to reliably send messages over many uses of a noisy channel. For every quantum channel $T$ and every $eps>0$ there exists a threshold $p(epsilon,T)$ for the gate error probability below which rates larger than $C-epsilon$ are fault-tolerantly achievable. Our results are relevant in communication over large distances, and also on-chip, where distant parts of a quantum computer might need to communicate under higher levels of noise.
  arXiv  Detail & Related papers  (2020-09-15T15:10:50Z)

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.