Benchmarking quantum gates and circuits
arXiv:2407.09942 · doi:10.1021/acs.chemrev.4c00870
Abstract
Accurate noise characterization in quantum gates and circuits is vital for the development of reliable quantum simulations for chemically relevant systems and fault-tolerant quantum computing. This paper reviews a variety of key benchmarking techniques, including Randomized Benchmarking, Quantum Process Tomography, Gate Set Tomography, Process Fidelity Estimation, Direct Fidelity Estimation, and Cross-Entropy Benchmarking. We evaluate each method's complexities, the resources they require, and their effectiveness in addressing coherent, incoherent, and state preparation and measurement (SPAM) errors. Furthermore, we introduce deterministic benchmarking (DB), a novel protocol that minimizes the number of experimental runs, exhibits resilience to SPAM errors, and effectively characterizes both coherent and incoherent errors. The implementation of DB is experimentally validated using a superconducting transmon qubit, and the results are substantiated with a simple analytical model and master equation simulations. With the addition of DB to the toolkit of available benchmarking methods, this article serves as a practical guide for choosing and applying benchmarking protocols to advance quantum computing technologies.
52 pages, 10 figures
References in corpus (142)
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- A variational eigenvalue solver on a quantum processor
- Charge insensitive qubit design derived from the Cooper pair box
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- The theory of variational hybrid quantum-classical algorithms
- A Quantum Engineer's Guide to Superconducting Qubits
- Noisy intermediate-scale quantum (NISQ) algorithms
- Quantum computational chemistry
- Improved Simulation of Stabilizer Circuits
- Quantum Chemistry in the Age of Quantum Computing
- Simulated Quantum Computation of Molecular Energies
- Characterizing Quantum Supremacy in Near-Term Devices
- The Variational Quantum Eigensolver: a review of methods and best practices
- Randomized Benchmarking of Quantum Gates
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Scalable Quantum Simulation of Molecular Energies
- Coherent Josephson qubit suitable for scalable quantum integrated circuits
- Elucidating Reaction Mechanisms on Quantum Computers
- Robust randomized benchmarking of quantum processes
- Validating quantum computers using randomized model circuits
- Keeping a Quantum Bit Alive by Optimized -Pulse Sequences
- Exact and Approximate Unitary 2-Designs: Constructions and Applications
- Roads towards fault-tolerant universal quantum computation
- Efficient Z-Gates for Quantum Computing
- Noise tailoring for scalable quantum computation via randomized compiling
- Scalable Noise Estimation with Random Unitary Operators
- Direct Fidelity Estimation from Few Pauli Measurements
- Characterizing Quantum Gates via Randomized Benchmarking
- A blueprint for demonstrating quantum supremacy with superconducting qubits
- Quantum chemistry calculations on a trapped-ion quantum simulator
- Quantum Process Tomography: Resource Analysis of Different Strategies
- Efficient measurement of quantum gate error by interleaved randomized benchmarking
- Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography
- Implementation of a Toffoli Gate with Superconducting Circuits
- Simulating chemistry using quantum computers
- Decoherence benchmarking of superconducting qubits
- Practical characterization of quantum devices without tomography
- Characterization of addressability by simultaneous randomized benchmarking
- Self-Consistent Quantum Process Tomography
- Probabilistic error cancellation with sparse Pauli-Lindblad models on noisy quantum processors
- Quantum Adiabatic Markovian Master Equations
- Measuring and Suppressing Quantum State Leakage in a Superconducting Qubit
- Non-Markovian quantum dynamics: local versus non-local
- The XZZX Surface Code
- Tight informationally complete quantum measurements
- Characterizing large-scale quantum computers via cycle benchmarking
- Randomized benchmarking and process tomography for gate errors in a solid-state qubit
- Efficient and Noise Resilient Measurements for Quantum Chemistry on Near-Term Quantum Computers
- Learning the quantum algorithm for state overlap
- Is there evidence for exponential quantum advantage in quantum chemistry?
- Demonstrating a Driven Reset Protocol of a Superconducting Qubit
- Universal Lindblad equation for open quantum systems
- Erasure conversion for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays
- Fault-tolerant quantum computation against biased noise
- Gate Set Tomography
- Fast adiabatic qubit gates using only control
- Estimating the Coherence of Noise
- Quantum information scrambling in a trapped-ion quantum simulator with tunable range interactions
- Random decoupling schemes for quantum dynamical control and error suppression
- Quantification and Characterization of Leakage Errors
- Completely Positive Post-Markovian Master Equation via a Measurement Approach
- Randomized Benchmarking with Confidence
- Preparing random states and benchmarking with many-body quantum chaos
- Suppression of crosstalk in superconducting qubits using dynamical decoupling
- Measuring the Capabilities of Quantum Computers
- Microwave-driven coherent operations of a semiconductor quantum dot charge qubit
- Direct Characterization of Quantum Dynamics
- High-Fidelity Qutrit Entangling Gates for Superconducting Circuits
- Correcting coherent errors with surface codes
- Arbitrarily Accurate Pulse Sequences for Robust Dynamical Decoupling
- A general framework for randomized benchmarking
- Comparing Experiments to the Fault-Tolerance Threshold
- Approximate unitary -designs by short random quantum circuits using nearest-neighbor and long-range gates
- Removing leakage-induced correlated errors in superconducting quantum error correction
- Machine learning of noise-resilient quantum circuits
- Efficient Long-Range Entanglement using Dynamic Circuits
- Completely positive master equation for arbitrary driving and small level spacing
- Operation and intrinsic error budget of a two-qubit cross-resonance gate
- Error-Mitigated Quantum Gates Exceeding Physical Fidelities in a Trapped-Ion System
- Time Dependent Markovian Quantum Master Equation
- Detecting and tracking drift in quantum information processors
- Randomized benchmarking with gate-dependent noise
- Parametric-resonance entangling gates with a tunable coupler
- Classical Simulation of Quantum Supremacy Circuits
- Restless Tuneup of High-Fidelity Qubit Gates
- Scalable randomized benchmarking of quantum computers using mirror circuits
- Demonstration of a Parametrically-Activated Entangling Gate Protected from Flux Noise
- Non-exponential Fidelity Decay in Randomized Benchmarking with Low-Frequency Noise
- Fault-tolerant quantum computation versus Gaussian noise
- Universal Leakage Elimination
- Characterization of Leakage Errors via Randomized Benchmarking
- Probing quantum processor performance with pyGSTi
- Quantum Crosstalk Robust Quantum Control
- Optimization of a solid-state electron spin qubit using Gate Set Tomography
- Enhanced Convergence and Robust Performance of Randomized Dynamical Decoupling
- Experimental Estimation of Average Fidelity of a Clifford Gate on a 7-qubit Quantum Processor
- Demonstrating a long-coherence dual-rail erasure qubit using tunable transmons
- Completely Positive, Simple, and Possibly Highly Accurate Approximation of the Redfield Equation
- Leakage detection for a transmon-based surface code
- Neural-network quantum state tomography
- Demonstration of algorithmic quantum speedup
- Direct Characterization of Quantum Dynamics: General Theory
- Dynamical control of qubit coherence: Random versus deterministic schemes
- Recovering quantum gates from few average gate fidelities
- Experimental quantum verification in the presence of temporally correlated noise
- Asymmetric quantum error correction via code conversion
- Fault-tolerant quantum computation with asymmetric Bacon-Shor codes
- Efficient unitary designs with a system-size independent number of non-Clifford gates
- Boundaries of quantum supremacy via random circuit sampling
- Quantum Fourier Transform using Dynamic Circuits
- Quantum algorithms: A survey of applications and end-to-end complexities
- Effective quantum volume, fidelity and computational cost of noisy quantum processing experiments
- Limitations of Linear Cross-Entropy as a Measure for Quantum Advantage
- Randomized Benchmarking with Restricted Gate Sets
- Predicting non-Markovian superconducting qubit dynamics from tomographic reconstruction
- High-threshold topological quantum error correction against biased noise
- Hyperentanglement-enabled Direct Characterization of Quantum Dynamics
- Entanglement assisted probe of the non-Markovian to Markovian transition in open quantum system dynamics
- Quantum error correction failure distributions: comparison of coherent and stochastic error models
- Optimal strategies for estimating the average fidelity of quantum gates
- Qudit Dynamical Decoupling on a Superconducting Quantum Processor
- Dissipative Dynamics of Graph-State Stabilizers with Superconducting Qubits
- Geometric-Arithmetic Master Equation in Large and Fast Open Quantum Systems
- Relaxation times in an open interacting two-qubit system
- Error Reduction in Quantum Annealing using Boundary Cancellation: Only the End Matters
- Compilation of algorithm-specific graph states for quantum circuits
- Modeling low- and high-frequency noise in transmon qubits with resource-efficient measurement
- Direct Estimation of Single- and Two-Qubit Hamiltonians and Relaxation Rates
- Validating and Certifying Stabilizer States
- Benchmarking quantum gates and circuits
- Benchmarking quantum logic operations relative to thresholds for fault tolerance
- Benchmarking universal quantum gates via channel spectrum
- SPAM-Robust Multi-axis Quantum Noise Spectroscopy in Temporally Correlated Environments
- SQuADDS: A validated design database and simulation workflow for superconducting qubit design
- Characterizing Coherent Errors using Matrix-Element Amplification
- Direct estimation of minimum gate fidelity
- Theory of versatile fidelity estimation with confidence
- Experimental characterization of quantum dynamics through many-body interactions
- Versatile fidelity estimation with confidence
- Which differential equations correspond to the Lindblad equation?
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