Extending quantum probabilistic error cancellation by noise scaling

Abstract

We propose a general framework for quantum error mitigation that combines and generalizes two techniques: probabilistic error cancellation (PEC) and zero-noise extrapolation (ZNE). Similarly to PEC, the proposed method represents ideal operations as linear combinations of noisy operations that are implementable on hardware. However, instead of assuming a fixed level of hardware noise, we extend the set of implementable operations by noise scaling. By construction, this method encompasses both PEC and ZNE as particular cases and allows us to investigate a larger set of hybrid techniques. For example, gate extrapolation can be used to implement PEC without requiring knowledge of the device's noise model, e.g., avoiding gate set tomography. Alternatively, probabilistic error reduction can be used to estimate expectation values at intermediate virtual noise strengths (below the hardware level), obtaining partially mitigated results at a lower sampling cost. Moreover, multiple results obtained with different noise reduction factors can be further post-processed with ZNE to better approximate the zero-noise limit.

Code repository: https://github.com/unitaryfund/research/tree/main/nepec

References in corpus (2)

• Hybrid quantum-classical algorithms and quantum error mitigation
• Unifying and benchmarking state-of-the-art quantum error mitigation techniques

Cited by in corpus (17)

• The Variational Quantum Eigensolver: a review of methods and best practices
• Quantum Error Mitigation
• Near-Term Quantum Computing Techniques: Variational Quantum Algorithms, Error Mitigation, Circuit Compilation, Benchmarking and Classical Simulation
• Universal Sampling Lower Bounds for Quantum Error Mitigation
• Error-Mitigated Simulation of Quantum Many-Body Scars on Quantum Computers with Pulse-Level Control
• Can Error Mitigation Improve Trainability of Noisy Variational Quantum Algorithms?
• Computationally Efficient Zero Noise Extrapolation for Quantum Gate Error Mitigation
• Unifying and benchmarking state-of-the-art quantum error mitigation techniques
• Analyzing the impact of time-correlated noise on zero-noise extrapolation
• Variational Quantum-Based Simulation of Waveguide Modes
• Testing platform-independent quantum error mitigation on noisy quantum computers
• Optimization of Richardson extrapolation for quantum error mitigation
• Qubit noise deconvolution
• Volumetric Benchmarking of Error Mitigation with Qermit
• A Practical Framework for Quantum Error Mitigation
• Improving the efficiency of learning-based error mitigation
• Automated quantum error mitigation based on probabilistic error reduction