Partially Fault-tolerant Quantum Computing Architecture with Error-corrected Clifford Gates and Space-time Efficient Analog Rotations

• URL: http://arxiv.org/abs/2303.13181v1
• Date: Thu, 23 Mar 2023 11:21:41 GMT
• Title: Partially Fault-tolerant Quantum Computing Architecture with Error-corrected Clifford Gates and Space-time Efficient Analog Rotations
• Authors: Yutaro Akahoshi, Kazunori Maruyama, Hirotaka Oshima, Shintaro Sato, Keisuke Fujii
• Abstract summary: We propose a quantum computing architecture to close the gap between NISQ and FTQC. For early-FTQC devices, we can perform roughly $1.72 times 107$ Clifford operations and $3.75 times 104$ arbitrary rotations on 64 logical qubits.
• Score: 0.5658123802733283
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum computers are expected to bring drastic acceleration to several computing tasks against classical computers. Noisy intermediate-scale quantum (NISQ) devices, which have tens to hundreds of noisy physical qubits, are gradually becoming available, but it is still challenging to achieve useful quantum advantages in meaningful tasks at this moment. On the other hand, the full fault-tolerant quantum computing (FTQC) based on the quantum error correction (QEC) code remains far beyond realization due to its extremely large requirement of high-precision physical qubits. In this study, we propose a quantum computing architecture to close the gap between NISQ and FTQC. Our architecture is based on erroneous arbitrary rotation gates and error-corrected Clifford gates implemented by lattice surgery. We omit the typical distillation protocol to achieve direct analog rotations and small qubit requirements, and minimize the remnant errors of the rotations by a carefully-designed state injection protocol. Our estimation based on numerical simulations shows that, for early-FTQC devices that consist of $10^4$ physical qubits with physical error probability $p = 10^{-4}$, we can perform roughly $1.72 \times 10^7$ Clifford operations and $3.75 \times 10^4$ arbitrary rotations on 64 logical qubits. Such computations cannot be realized by the existing NISQ and FTQC architectures on the same device, as well as classical computers. We hope that our proposal and the corresponding development of quantum algorithms based on it bring new insights on realization of practical quantum computers in future.

Related papers

• Practical quantum advantage on partially fault-tolerant quantum computer [0.6449786007855248]
  We propose an alternative approach to achieve practical quantum advantages on early-FTQC devices. Our framework is based on partially fault-tolerant logical operations to minimize spatial overhead. We present several promising applications that leverage the potential of our framework.
  arXiv  Detail & Related papers  (2024-08-27T07:58:09Z)
• Quantum Compiling with Reinforcement Learning on a Superconducting Processor [55.135709564322624]
  We develop a reinforcement learning-based quantum compiler for a superconducting processor. We demonstrate its capability of discovering novel and hardware-amenable circuits with short lengths. Our study exemplifies the codesign of the software with hardware for efficient quantum compilation.
  arXiv  Detail & Related papers  (2024-06-18T01:49:48Z)
• 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)
• 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)
• Early Fault-Tolerant Quantum Computing [0.0]
  We develop a model for the performance of early fault-tolerant quantum computing (EFTQC) architectures. We show that, for the canonical task of phase estimation, in a regime of moderate scalability and using just over one million physical qubits, the reach'' of the quantum computer can be extended.
  arXiv  Detail & Related papers  (2023-11-24T19:12:47Z)
• 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)
• Averaging gate approximation error and performance of Unitary Coupled Cluster ansatz in Pre-FTQC Era [0.0]
  Fault-tolerant quantum computation (FTQC) is essential to implement quantum algorithms in a noise-resilient way. In FTQC, a quantum circuit is decomposed into universal gates that can be fault-tolerantly implemented. In this paper, we propose that the Clifford+$T$ decomposition error for a given quantum circuit can be modeled as the depolarizing noise.
  arXiv  Detail & Related papers  (2023-01-10T19:00:01Z)
• Iterative Qubits Management for Quantum Index Searching in a Hybrid System [56.39703478198019]
  IQuCS aims at index searching and counting in a quantum-classical hybrid system. We implement IQuCS with Qiskit and conduct intensive experiments. Results demonstrate that it reduces qubits consumption by up to 66.2%.
  arXiv  Detail & Related papers  (2022-09-22T21:54:28Z)
• 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)
• Quantum error mitigation as a universal error-minimization technique: applications from NISQ to FTQC eras [0.9622115055919379]
  In the early years of fault-tolerant quantum computing (FTQC), the available code distance and the number of magic states will be restricted. Here, we integrate quantum error correction and quantum error mitigation into an efficient FTQC architecture. This scheme will dramatically alleviate the required computational overheads and hasten the arrival of the FTQC era.
  arXiv  Detail & Related papers  (2020-10-08T10:27:29Z)
• NISQ+: Boosting quantum computing power by approximating quantum error correction [6.638758213186185]
  We design a method to boost the computational power of near-term quantum computers. By approximating fully-fledged error correction mechanisms, we can increase the compute volume. We demonstrate a proof-of-concept that approximate error decoding can be accomplished online in near-term quantum systems.
  arXiv  Detail & Related papers  (2020-04-09T20:17:28Z)

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.