Low bit-flip rate probabilistic error cancellation

• URL: http://arxiv.org/abs/2411.06422v1
• Date: Sun, 10 Nov 2024 11:04:16 GMT
• Title: Low bit-flip rate probabilistic error cancellation
• Authors: Mathys Rennela, Harold Ollivier,
• Abstract summary: Noise remains one of the most significant challenges in the development of reliable and scalable quantum processors. In this work, we explore how the unique noise bias of cat-qubits can be harnessed to enhance error mitigation efficiency.
• Score: 0.0
• License:
• Abstract: Noise remains one of the most significant challenges in the development of reliable and scalable quantum processors. While quantum error correction and mitigation techniques offer potential solutions, they are often limited by the substantial hardware overhead required. To address this, tailored approaches that exploit specific hardware characteristics have emerged. In quantum computing architectures utilizing cat-qubits, the inherent exponential suppression of bit-flip errors can significantly reduce the qubit count needed for effective error correction. In this work, we explore how the unique noise bias of cat-qubits can be harnessed to enhance error mitigation efficiency. Specifically, we demonstrate that the sampling cost associated with probabilistic error cancellation (PEC) methods can be substantially lowered when applied to circuits built on cat-qubits, provided the gates used preserve the noise bias. Our error mitigation scheme is benchmarked across various quantum machine learning circuits, showcasing its practical advantages.

Related papers

• Fault-tolerant quantum architectures based on erasure qubits [49.227671756557946]
  We exploit the idea of erasure qubits, relying on an efficient conversion of the dominant noise into erasures at known locations. We propose and optimize QEC schemes based on erasure qubits and the recently-introduced Floquet codes. Our results demonstrate that, despite being slightly more complex, QEC schemes based on erasure qubits can significantly outperform standard approaches.
  arXiv  Detail & Related papers  (2023-12-21T17:40:18Z)
• Fast Flux-Activated Leakage Reduction for Superconducting Quantum Circuits [84.60542868688235]
  leakage out of the computational subspace arising from the multi-level structure of qubit implementations. We present a resource-efficient universal leakage reduction unit for superconducting qubits using parametric flux modulation. We demonstrate that using the leakage reduction unit in repeated weight-two stabilizer measurements reduces the total number of detected errors in a scalable fashion.
  arXiv  Detail & Related papers  (2023-09-13T16:21:32Z)
• 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)
• Quantum error correction with dissipatively stabilized squeezed cat qubits [68.8204255655161]
  We propose and analyze the error correction performance of a dissipatively stabilized squeezed cat qubit. We find that for moderate squeezing the bit-flip error rate gets significantly reduced in comparison with the ordinary cat qubit while leaving the phase flip rate unchanged.
  arXiv  Detail & Related papers  (2022-10-24T16:02:20Z)
• Construction of Bias-preserving Operations for Pair-cat Code [17.34207569961146]
  Multi-level systems can achieve a desirable set of bias-preserving quantum operations. Cat codes are not compatible with continuous quantum error correction against excitation loss error. We generalize the bias-preserving operations to pair-cat codes to be compatible with continuous quantum error correction against both bosonic loss and dephasing errors.
  arXiv  Detail & Related papers  (2022-08-14T20:45:26Z)
• Volumetric Benchmarking of Error Mitigation with Qermit [0.0]
  We develop a methodology to assess the performance of quantum error mitigation techniques. Our benchmarks are volumetric in design, and are performed on different superconducting hardware devices. Qermit is an open source python package for quantum error mitigation.
  arXiv  Detail & Related papers  (2022-04-20T18:13:04Z)
• Probabilistic error cancellation with sparse Pauli-Lindblad models on noisy quantum processors [0.7299729677753102]
  We present a protocol for learning and inverting a sparse noise model that is able to capture correlated noise and scales to large quantum devices. These advances allow us to demonstrate PEC on a superconducting quantum processor with crosstalk errors.
  arXiv  Detail & Related papers  (2022-01-24T18:40:43Z)
• 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)
• Fundamental limits of quantum error mitigation [0.0]
  We show how error-mitigation algorithms can reduce the computation error as a function of their sampling overhead. Our results provide a means to identify when a given quantum error-mitigation strategy is optimal and when there is potential room for improvement.
  arXiv  Detail & Related papers  (2021-09-09T17:56:14Z)
• Qubit Readout Error Mitigation with Bit-flip Averaging [0.0]
  We present a scheme to more efficiently mitigate qubit readout errors on quantum hardware. Our scheme removes biases in the readout errors allowing a general error model to be built with far fewer calibration measurements. Our approach can be combined with, and simplify, other mitigation methods allowing tractable mitigation even for large numbers of qubits.
  arXiv  Detail & Related papers  (2021-06-10T15:08:06Z)
• 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)

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.