Estimating Coherent Contributions to the Error Profile Using Cycle Error Reconstruction

Abstract

Mitigation and calibration schemes are central to maximize the computational reach of today's Noisy Intermediate Scale Quantum (NISQ) hardware, but these schemes are often specialized to exclusively address either coherent or decoherent error sources. Quantifying the two types of errors hence constitutes a desirable feature when it comes to benchmarking error suppression tools. In this paper, we present a scalable and cycle-centric methodology for obtaining a detailed estimate of the coherent contribution to the error profile of a hard computing cycle. The protocol that we suggest is based on Cycle Error Reconstruction (CER), also known as K-body Noise Reconstruction (KNR). This protocol is similar to Cycle Benchmarking (CB) in that it provides a cycle-centric diagnostic based on Pauli fidelity estimation [1]. We introduce an additional hyper-parameter in CER by allowing the hard cycles to be folded multiple times before being subject to Pauli twirling. Performing CER for different values of our added hyper-parameter allows estimating the coherent error contributions through a generalization of the fidelity decay formula. We confirm the accuracy of our method through numerical simulations on a quantum simulator, and perform proof-of-concept experiments on three IBM chips, namely ibmq_guadalupe, ibmq_manila, and ibmq_montreal. In all three experiments, we measure substantial coherent errors biased in Z.

42 pages, 12 figures, to be published in the journal Quantum

References in corpus (44)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Quantum Computing in the NISQ era and beyond
• Dynamical Decoupling of Open Quantum Systems
• Dynamical suppression of decoherence in two-state quantum systems
• Error mitigation for short-depth quantum circuits
• Keeping a Quantum Bit Alive by Optimized $\pi$-Pulse Sequences
• Efficient variational quantum simulator incorporating active error minimisation
• Fault-Tolerant Quantum Dynamical Decoupling
• Noise tailoring for scalable quantum computation via randomized compiling
• Practical Quantum Error Mitigation for Near-Future Applications
• Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography
• Cloud Quantum Computing of an Atomic Nucleus
• Universal Control of Decoupled Quantum Systems
• Self-Consistent Quantum Process Tomography
• Robust dynamical decoupling with bounded controls
• Characterizing large-scale quantum computers via cycle benchmarking
• Efficient and Noise Resilient Measurements for Quantum Chemistry on Near-Term Quantum Computers
• Gate Set Tomography
• Effective Hamiltonian models of the cross-resonance gate
• Digital zero noise extrapolation for quantum error mitigation
• Randomized Benchmarking with Confidence
• Resource Efficient Zero Noise Extrapolation with Identity Insertions
• Suppression of crosstalk in superconducting qubits using dynamical decoupling
• High fidelity quantum gates via dynamical decoupling
• Exponential Error Suppression for Near-Term Quantum Devices
• Preserving qubit coherence by dynamical decoupling
• Quantum crosstalk analysis for simultaneous gate operations on superconducting qubits
• Robust, self-consistent, closed-form tomography of quantum logic gates on a trapped ion qubit
• Introduction to Quantum Gate Set Tomography
• Multi-exponential Error Extrapolation and Combining Error Mitigation Techniques for NISQ Applications
• Error mitigation via verified phase estimation
• Quantum computation of magnon spectra
• Dual-state purification for practical quantum error mitigation
• Simulating and mitigating crosstalk
• Noise-resilient phase estimation with randomized compiling
• Quantum Circuit Engineering for Correcting Coherent Noise
• Leveraging Randomized Compiling for the QITE Algorithm
• Resource-efficient Purification-based Quantum Error Mitigation
• A universal quantum gate set for transmon qubits with strong ZZ interactions
• The Error Reconstruction and Compiled Calibration of Quantum Computing Cycles
• A Practical Framework for Quantum Error Mitigation
• Concepts and conditions for error suppression through randomized compiling
• Extending the Computational Reach of a Superconducting Qutrit Processor
• Analysis of Error Propagation in Quantum Computers

Cited by in corpus (3)

• A Practical Introduction to Benchmarking and Characterization of Quantum Computers
• Pauli Noise Learning for Mid-Circuit Measurements
• Characterizing physical and logical errors in a transversal CNOT via cycle error reconstruction