Quantum error correction with an Ising machine under circuit-level noise

• URL: http://arxiv.org/abs/2308.00369v1
• Date: Tue, 1 Aug 2023 08:21:22 GMT
• Title: Quantum error correction with an Ising machine under circuit-level noise
• Authors: Jun Fujisaki, Kazunori Maruyama, Hirotaka Oshima, Shintaro Sato, Tatsuya Sakashita, Yusaku Takeuchi, Keisuke Fujii
• Abstract summary: We develop a decoder for circuit-level noise that solves the error estimation problems as Ising-type optimization problems. We confirm that the threshold theorem in the surface code under the circuitlevel noise is reproduced with an error threshold of approximately 0.4%.
• Score: 0.4977217779934656
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Efficient decoding to estimate error locations from outcomes of syndrome measurement is the prerequisite for quantum error correction. Decoding in presence of circuit-level noise including measurement errors should be considered in case of actual quantum computing devices. In this work, we develop a decoder for circuit-level noise that solves the error estimation problems as Ising-type optimization problems. We confirm that the threshold theorem in the surface code under the circuitlevel noise is reproduced with an error threshold of approximately 0.4%. We also demonstrate the advantage of the decoder through which the Y error detection rate can be improved compared with other matching-based decoders. Our results reveal that a lower logical error rate can be obtained using our algorithm compared with that of the minimum-weight perfect matching algorithm.

Related papers

• Logical Error Rates for a [[4,2,2]]-Encoded Variational Quantum Eigensolver Ansatz [0.0]
  We quantify how the quantum error detection code improves the logical error rate, accuracy, and precision of an encoded variational quantum eigensolver application. We find that the most aggressive post-selection strategies improve the accuracy and precision of the encoded estimates even at the cost of increasing loss of samples.
  arXiv  Detail & Related papers  (2024-05-05T19:02:58Z)
• Modeling error correction with Lindblad dynamics and approximate channels [0.0]
  We study how different approximations of the noise capture the performance of the five-qubit code. A Pauli approximation going beyond a single-qubit channel, is sensitive to the details of the noise, state, and decoder. We calculate the code pseudo-threshold emerging within this model, and demonstrate how knowledge of the qubit parameters and connectivity can be used to design better decoders.
  arXiv  Detail & Related papers  (2024-02-26T16:48:34Z)
• Extracting Error Thresholds through the Framework of Approximate Quantum Error Correction Condition [0.0]
  robustness of quantum memory against physical noises is measured by two methods. exact and approximate quantum error correction (QEC) conditions for error recoverability. decoder-dependent error threshold which assesses if the logical error rate diminishes with system size.
  arXiv  Detail & Related papers  (2023-12-28T12:37:49Z)
• Testing the Accuracy of Surface Code Decoders [55.616364225463066]
  Large-scale, fault-tolerant quantum computations will be enabled by quantum error-correcting codes (QECC) This work presents the first systematic technique to test the accuracy and effectiveness of different QECC decoding schemes.
  arXiv  Detail & Related papers  (2023-11-21T10:22:08Z)
• The END: An Equivariant Neural Decoder for Quantum Error Correction [73.4384623973809]
  We introduce a data efficient neural decoder that exploits the symmetries of the problem. We propose a novel equivariant architecture that achieves state of the art accuracy compared to previous neural decoders.
  arXiv  Detail & Related papers  (2023-04-14T19:46:39Z)
• 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)
• Improved decoding of circuit noise and fragile boundaries of tailored surface codes [61.411482146110984]
  We introduce decoders that are both fast and accurate, and can be used with a wide class of quantum error correction codes. Our decoders, named belief-matching and belief-find, exploit all noise information and thereby unlock higher accuracy demonstrations of QEC. We find that the decoders led to a much higher threshold and lower qubit overhead in the tailored surface code with respect to the standard, square surface code.
  arXiv  Detail & Related papers  (2022-03-09T18:48:54Z)
• Measuring NISQ Gate-Based Qubit Stability Using a 1+1 Field Theory and Cycle Benchmarking [50.8020641352841]
  We study coherent errors on a quantum hardware platform using a transverse field Ising model Hamiltonian as a sample user application. We identify inter-day and intra-day qubit calibration drift and the impacts of quantum circuit placement on groups of qubits in different physical locations on the processor. This paper also discusses how these measurements can provide a better understanding of these types of errors and how they may improve efforts to validate the accuracy of quantum computations.
  arXiv  Detail & Related papers  (2022-01-08T23:12:55Z)
• Performance of teleportation-based error correction circuits for bosonic codes with noisy measurements [58.720142291102135]
  We analyze the error-correction capabilities of rotation-symmetric codes using a teleportation-based error-correction circuit. We find that with the currently achievable measurement efficiencies in microwave optics, bosonic rotation codes undergo a substantial decrease in their break-even potential.
  arXiv  Detail & Related papers  (2021-08-02T16:12:13Z)
• Optimal noise estimation from syndrome statistics of quantum codes [0.7264378254137809]
  Quantum error correction allows to actively correct errors occurring in a quantum computation when the noise is weak enough. Traditionally, this information is obtained by benchmarking the device before operation. We address the question of what can be learned from only the measurements done during decoding.
  arXiv  Detail & Related papers  (2020-10-05T18:00:26Z)
• Efficiently computing logical noise in quantum error correcting codes [0.0]
  We show that measurement errors on readout qubits manifest as a renormalization on the effective logical noise. We derive general methods for reducing the computational complexity of the exact effective logical noise by many orders of magnitude.
  arXiv  Detail & Related papers  (2020-03-23T19:40:56Z)

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.