Simple Mitigation of Global Depolarizing Errors in Quantum Simulations

• URL: http://arxiv.org/abs/2101.01690v2
• Date: Wed, 28 Apr 2021 11:43:37 GMT
• Title: Simple Mitigation of Global Depolarizing Errors in Quantum Simulations
• Authors: Joseph Vovrosh, Kiran E. Khosla, Sean Greenaway, Christopher Self, Myungshik Kim and Johannes Knolle
• Abstract summary: We present a simple but effective error mitigation technique based on the assumption that noise in a deep quantum circuit is well described by global depolarizing error channels. By measuring the errors directly on the device, we use an error model ansatz to infer error-free results from noisy data.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: To get the best possible results from current quantum devices error mitigation is essential. In this work we present a simple but effective error mitigation technique based on the assumption that noise in a deep quantum circuit is well described by global depolarizing error channels. By measuring the errors directly on the device, we use an error model ansatz to infer error-free results from noisy data. We highlight the effectiveness of our mitigation via two examples of recent interest in quantum many-body physics: entanglement measurements and real time dynamics of confinement in quantum spin chains. Our technique enables us to get quantitative results from the IBM quantum computers showing signatures of confinement, i.e. we are able to extract the meson masses of the confined excitations which were previously out of reach. Additionally, we show the applicability of this mitigation protocol in a wider setting with numerical simulations of more general tasks using a realistic error model. Our protocol is device-independent, simply implementable and leads to large improvements in results if the global errors are well described by depolarization.

Related papers

• Bounding the systematic error in quantum error mitigation due to model violation [0.0]
  We develop a methodology to efficiently compute upper bounds on the impact of error-model inaccuracy in error mitigation. Our protocols require no additional experiments, and instead rely on comparisons between the error model and the error-learning data. We show that our estimated upper bounds are typically close to the worst observed performance of error mitigation on random circuits.
  arXiv  Detail & Related papers  (2024-08-20T16:27:00Z)
• 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)
• Transition Role of Entangled Data in Quantum Machine Learning [51.6526011493678]
  Entanglement serves as the resource to empower quantum computing. Recent progress has highlighted its positive impact on learning quantum dynamics. We establish a quantum no-free-lunch (NFL) theorem for learning quantum dynamics using entangled data.
  arXiv  Detail & Related papers  (2023-06-06T08:06:43Z)
• 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)
• 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)
• Characterizing quantum instruments: from non-demolition measurements to quantum error correction [48.43720700248091]
  In quantum information processing quantum operations are often processed alongside measurements which result in classical data. Non-unitary dynamical processes can take place on the system, for which common quantum channel descriptions fail to describe the time evolution. Quantum measurements are correctly treated by means of so-called quantum instruments capturing both classical outputs and post-measurement quantum states.
  arXiv  Detail & Related papers  (2021-10-13T18:00:13Z)
• Error metric for non-trace-preserving quantum operations [3.6492255655113395]
  We study the problem of measuring errors in non-trace-preserving quantum operations. We propose an error metric that efficiently provides an upper bound on the trace distance between the normalized output states.
  arXiv  Detail & Related papers  (2021-10-05T18:54:14Z)
• 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)
• 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)
• Crosstalk Suppression for Fault-tolerant Quantum Error Correction with Trapped Ions [62.997667081978825]
  We present a study of crosstalk errors in a quantum-computing architecture based on a single string of ions confined by a radio-frequency trap, and manipulated by individually-addressed laser beams. This type of errors affects spectator qubits that, ideally, should remain unaltered during the application of single- and two-qubit quantum gates addressed at a different set of active qubits. We microscopically model crosstalk errors from first principles and present a detailed study showing the importance of using a coherent vs incoherent error modelling and, moreover, discuss strategies to actively suppress this crosstalk at the gate level.
  arXiv  Detail & Related papers  (2020-12-21T14:20:40Z)
• Multi-exponential Error Extrapolation and Combining Error Mitigation Techniques for NISQ Applications [0.0]
  Noise in quantum hardware remains the biggest roadblock for the implementation of quantum computers. Error extrapolation is an error mitigation technique that has been successfully implemented experimentally. We extend this to multi-exponential error extrapolation and provide more rigorous proof for its effectiveness under Pauli noise.
  arXiv  Detail & Related papers  (2020-07-02T17:18:47Z)

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.