Quantum Error Mitigation
- URL: http://arxiv.org/abs/2210.00921v3
- Date: Thu, 28 Dec 2023 21:06:16 GMT
- Title: Quantum Error Mitigation
- Authors: Zhenyu Cai, Ryan Babbush, Simon C. Benjamin, Suguru Endo, William J.
Huggins, Ying Li, Jarrod R. McClean, Thomas E. O'Brien
- Abstract summary: In the coming era of NISQ' machines we must seek to mitigate errors rather than completely remove them.
This review surveys the diverse methods that have been proposed for quantum error mitigation.
We discuss the prospects for realising mitigation-based devices that can deliver quantum advantage with an impact on science and business.
- Score: 2.970233400756714
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: For quantum computers to successfully solve real-world problems, it is
necessary to tackle the challenge of noise: the errors which occur in
elementary physical components due to unwanted or imperfect interactions. The
theory of quantum fault tolerance can provide an answer in the long term, but
in the coming era of `NISQ' machines we must seek to mitigate errors rather
than completely remove them. This review surveys the diverse methods that have
been proposed for quantum error mitigation, assesses their in-principle
efficacy, and then describes the hardware demonstrations achieved to date. We
identify the commonalities and limitations among the methods, noting how
mitigation methods can be chosen according to the primary type of noise
present, including algorithmic errors. Open problems in the field are
identified and we discuss the prospects for realising mitigation-based devices
that can deliver quantum advantage with an impact on science and business.
Related papers
- Quantum algorithms: A survey of applications and end-to-end complexities [90.05272647148196]
The anticipated applications of quantum computers span across science and industry.
We present a survey of several potential application areas of quantum algorithms.
We outline the challenges and opportunities in each area in an "end-to-end" fashion.
arXiv Detail & Related papers (2023-10-04T17:53:55Z) - Hypothesis Testing for Error Mitigation: How to Evaluate Error
Mitigation [0.9405458160620533]
We introduce hypothesis testing within the framework of quantum error mitigation.
We propose an inclusive figure of merit that accounts for both resource requirement and mitigation efficiency.
We experimentally evaluate $16$ error mitigation pipelines composed of singular methods.
arXiv Detail & Related papers (2023-01-06T19:16:08Z) - Quantum Error Correction: Noise-adapted Techniques and Applications [2.122752621320654]
Theory of quantum error correction provides a scheme by which the effects of such noise on quantum states can be mitigated.
We focus on recent theoretical advances in the domain of noise-adapted QEC, and highlight some key open questions.
We conclude with a review of the theory of quantum fault tolerance which gives a quantitative estimate of the physical noise threshold below which error-resilient quantum computation is possible.
arXiv Detail & Related papers (2022-07-31T05:23:50Z) - Boosting the Performance of Quantum Annealers using Machine Learning [0.0]
Quantum annealers are the only ones currently offering real world, commercial applications on as many as 5000 qubits.
The size of problems that can be solved by quantum annealers is limited mainly by errors caused by environmental noise and intrinsic imperfections of the processor.
We address the issue of intrinsic imperfections with a novel error correction approach, based on machine learning methods.
arXiv Detail & Related papers (2022-03-04T14:52:10Z) - 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) - Mitigating Quantum Errors via Truncated Neumann Series [10.04862322536857]
We propose a unified framework that can mitigate quantum gate and measurement errors in computing quantum expectation values.
The essential idea is to cancel the effect of quantum error by approximating its inverse via linearly combining quantum errors of different orders.
We test this framework for different quantum errors and find that the computation accuracy is substantially improved.
arXiv Detail & Related papers (2021-11-01T04:16:49Z) - 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) - Neural Error Mitigation of Near-Term Quantum Simulations [0.0]
We introduce $textitneural error mitigation$, a novel method that uses neural networks to improve estimates of ground states and ground-state observables.
Our results show that neural error mitigation improves the numerical and experimental VQE computation to yield low-energy errors.
Our method is a promising strategy for extending the reach of near-term quantum computers to solve complex quantum simulation problems.
arXiv Detail & Related papers (2021-05-17T18:00:57Z) - 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) - An Application of Quantum Annealing Computing to Seismic Inversion [55.41644538483948]
We apply a quantum algorithm to a D-Wave quantum annealer to solve a small scale seismic inversions problem.
The accuracy achieved by the quantum computer is at least as good as that of the classical computer.
arXiv Detail & Related papers (2020-05-06T14:18:44Z) - Deterministic correction of qubit loss [48.43720700248091]
Loss of qubits poses one of the fundamental obstacles towards large-scale and fault-tolerant quantum information processors.
We experimentally demonstrate the implementation of a full cycle of qubit loss detection and correction on a minimal instance of a topological surface code.
arXiv Detail & Related papers (2020-02-21T19:48:53Z)
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.