A framework for randomized benchmarking over compact groups
arXiv:2111.10357
Abstract
Characterization of experimental systems is an essential step in developing and improving quantum hardware. A collection of protocols known as Randomized Benchmarking (RB) was developed in the past decade, which provides an efficient way to measure error rates in quantum systems. In a recent paper (arxiv:2010.07974), a general framework for RB was proposed, which encompassed most of the known RB protocols and overcame the limitation on error models in previous works. However, even this general framework has a restriction: it can only be applied to a finite group of gates. This does not meet the need posed by experiments, in particular the demand for benchmarking non-Clifford gates and continuous gate sets on quantum devices. In this work we generalize the RB framework to continuous groups of gates and show that as long as the noise level is reasonably small, the output can be approximated as a linear combination of matrix exponential decays. As an application, we numerically study the fully randomized benchmarking protocol (i.e. RB with the entire unitary group as the gate set) enabled by our proof. This provides a unified way to estimate the gate fidelity for any quantum gate in an experiment.
References in corpus (13)
- A variational eigenvalue solver on a quantum processor
- A Quantum Approximate Optimization Algorithm
- Coupling Superconducting Qubits via a Cavity Bus
- Robust randomized benchmarking of quantum processes
- Exact and Approximate Unitary 2-Designs: Constructions and Applications
- Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
- Generation of Three-Qubit Entangled States using Superconducting Phase Qubits
- Demonstrating a Continuous Set of Two-qubit Gates for Near-term Quantum Algorithms
- Quantum Process Tomography of a Universal Entangling Gate Implemented with Josephson Phase Qubits
- Characterization of a two-transmon processor with individual single-shot qubit readout
- Efficient error characterization in Quantum Information Processing
- Optimal quantum circuit synthesis from Controlled-U gates
- Estimating the fidelity of T gates using standard interleaved randomized benchmarking