Robust, self-consistent, closed-form tomography of quantum logic gates on a trapped ion qubit
arXiv:1310.4492
Abstract
We introduce and demonstrate experimentally: (1) a framework called "gate set tomography" (GST) for self-consistently characterizing an entire set of quantum logic gates on a black-box quantum device; (2) an explicit closed-form protocol for linear-inversion gate set tomography (LGST), whose reliability is independent of pathologies such as local maxima of the likelihood; and (3) a simple protocol for objectively scoring the accuracy of a tomographic estimate without reference to target gates, based on how well it predicts a set of testing experiments. We use gate set tomography to characterize a set of Clifford-generating gates on a single trapped-ion qubit, and compare the performance of (i) standard process tomography; (ii) linear gate set tomography; and (iii) maximum likelihood gate set tomography.
12 pages
References in corpus (1)
Cited by in corpus (50)
- Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography
- Quantum certification and benchmarking
- Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
- Characterizing large-scale quantum computers via cycle benchmarking
- Experimental neural network enhanced quantum tomography
- Randomized Benchmarking with Confidence
- Learning Quantum Systems
- Microwave-driven coherent operations of a semiconductor quantum dot charge qubit
- Demonstration of non-Markovian process characterisation and control on a quantum processor
- Quantum error mitigation as a universal error-minimization technique: applications from NISQ to FTQC eras
- Detector Tomography on IBM 5-qubit Quantum Computers and Mitigation of Imperfect Measurement
- Density-matrix simulation of small surface codes under current and projected experimental noise
- Quantum process tomography via completely positive and trace-preserving projection
- Hardware for Dynamic Quantum Computing
- Introduction to Quantum Gate Set Tomography
- Probing context-dependent errors in quantum processors
- Recovering quantum gates from few average gate fidelities
- Benchmarking a high-fidelity mixed-species entangling gate
- Experimentally bounding deviations from quantum theory in the landscape of generalized probabilistic theories
- Transversality and lattice surgery: exploring realistic routes towards coupled logical qubits with trapped-ion quantum processors
- Robust and efficient in situ quantum control
- Modeling Noisy Quantum Circuits Using Experimental Characterization
- Joint Quantum-State and Measurement Tomography with Incomplete Measurements
- Efficiently improving the performance of noisy quantum computers
- Stochastic Estimation of Dynamical Variables
- Quantum learning of classical stochastic processes: The Completely-Positive Realization Problem
- Complete Quantum-State Tomography with a Local Random Field
- Single-preparation unsupervised quantum machine learning: concepts and applications
- Pauli semigroups and unistochastic quantum channels
- Modular Software for Real-Time Quantum Control Systems
- Relaxation of a Stationary State on a Quantum Computer Yields Unique Spectroscopic Fingerprint of the Computer's Noise
- Operational, gauge-free quantum tomography
- Benchmarking quantum logic operations relative to thresholds for fault tolerance
- Quantum process tomography with unknown single-preparation input states
- Quantum Amplitude Estimation in the Presence of Noise
- Realistic simulation of quantum computation using unitary and measurement channels
- Learning optimal quantum models is NP-hard
- Learning a quantum channel from its steady-state
- On the general constraints in single qubit quantum process tomography
- Functional Simulation of Real-Time Quantum Control Software
- Characterizing and mitigating coherent errors in a trapped ion quantum processor using hidden inverses
- Recommender systems inspired by the structure of quantum theory
- Discrimination of correlated and entangling quantum channels with selective process tomography
- Estimating Coherent Contributions to the Error Profile Using Cycle Error Reconstruction
- Universal framework for simultaneous tomography of quantum states and SPAM noise
- Measuring NISQ Gate-Based Qubit Stability Using a 1+1 Field Theory and Cycle Benchmarking
- Classical certification of quantum gates under the dimension assumption
- Perturbative tomography of small errors in quantum gates
- Detecting correlated errors in twin-field quantum key distribution
- Fermionic Averaged Circuit Eigenvalue Sampling