Probabilistic error cancellation with sparse Pauli-Lindblad models on noisy quantum processors
arXiv:2201.09866 · doi:10.1038/s41567-023-02042-2
Abstract
Noise in pre-fault-tolerant quantum computers can result in biased estimates of physical observables. Accurate bias-free estimates can be obtained using probabilistic error cancellation (PEC), which is an error-mitigation technique that effectively inverts well-characterized noise channels. Learning correlated noise channels in large quantum circuits, however, has been a major challenge and has severely hampered experimental realizations. Our work presents a practical protocol for learning and inverting a sparse noise model that is able to capture correlated noise and scales to large quantum devices. These advances allow us to demonstrate PEC on a superconducting quantum processor with crosstalk errors, thereby providing an important milestone in opening the way to quantum computing with noise-free observables at larger circuit volumes.
References in corpus (6)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Strong quantum computational advantage using a superconducting quantum processor
- Hybrid quantum-classical algorithms and quantum error mitigation
- Quantum error correction of coherent errors by randomization
- Quantum error mitigation via matrix product operators
- Quality, Speed, and Scale: three key attributes to measure the performance of near-term quantum computers
Cited by in corpus (166)
- Quantum Error Mitigation
- The Future of Quantum Computing with Superconducting Qubits
- Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group
- Efficient tensor network simulation of IBM's Eagle kicked Ising experiment
- IBM Quantum Computers: Evolution, Performance, and Future Directions
- Efficient Long-Range Entanglement using Dynamic Circuits
- Early Fault-Tolerant Quantum Computing
- Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions
- Purification-based quantum error mitigation of pair-correlated electron simulations
- Machine Learning for Practical Quantum Error Mitigation
- Symmetry Classification of Many-Body Lindbladians: Tenfold Way and Beyond
- Decoding algorithms for surface codes
- Noise-assisted digital quantum simulation of open systems
- Unravelling physics beyond the standard model with classical and quantum anomaly detection
- Large-scale quantum approximate optimization on non-planar graphs with machine learning noise mitigation
- Warm-Started QAOA with Custom Mixers Provably Converges and Computationally Beats Goemans-Williamson's Max-Cut at Low Circuit Depths
- Quantum computing for chemistry and physics applications from a Monte Carlo perspective
- Quantum Error Mitigated Classical Shadows
- Pulse variational quantum eigensolver on cross-resonance based hardware
- Learning quantum states and unitaries of bounded gate complexity
- Enhancing quantum utility: simulating large-scale quantum spin chains on superconducting quantum computers
- A novel approach to noisy gates for simulating quantum computers
- Efficiently improving the performance of noisy quantum computers
- Learning shallow quantum circuits
- Diagonalization of large many-body Hamiltonians on a quantum processor
- Adaptive variational simulation for open quantum systems
- Demonstration of Robust and Efficient Quantum Property Learning with Shallow Shadows
- Adaptive variational quantum minimally entangled typical thermal states for finite temperature simulations
- Provable bounds for noise-free expectation values computed from noisy samples
- Exponentially tighter bounds on limitations of quantum error mitigation
- A Practical Introduction to Benchmarking and Characterization of Quantum Computers
- Comparative study of adaptive variational quantum eigensolvers for multi-orbital impurity models
- Enabling Large-Scale and High-Precision Fluid Simulations on Near-Term Quantum Computers
- Characterizing non-Markovian Off-Resonant Errors in Quantum Gates
- Lie-algebraic classical simulations for quantum computing
- Adaptive quantum error mitigation using pulse-based inverse evolutions
- Probabilistic Interpolation of Quantum Rotation Angles
- Enhanced observable estimation through classical optimization of informationally over-complete measurement data -- beyond classical shadows
- Symmetry breaking in geometric quantum machine learning in the presence of noise
- Synergetic quantum error mitigation by randomized compiling and zero-noise extrapolation for the variational quantum eigensolver
- Suppressing Correlated Noise in Quantum Computers via Context-Aware Compiling
- Qutrit and Qubit Circuits for Three-Flavor Collective Neutrino Oscillations
- On-Premises Superconducting Quantum Computer for Education and Research
- Dynamical simulations of many-body quantum chaos on a quantum computer
- Quantum State Tomography with Locally Purified Density Operators and Local Measurements
- Learning How to Dynamically Decouple
- Quantum Error Correction resilient against Atom Loss
- Topological transitions in quantum jump dynamics: Hidden exceptional points
- Benchmarking quantum gates and circuits
- Tight bounds on Pauli channel learning without entanglement
- Tensor network noise characterization for near-term quantum computers
- Studying the phase diagram of the three-flavor Schwinger model in the presence of a chemical potential with measurement- and gate-based quantum computing
- Dissipative variational quantum algorithms for Gibbs state preparation
- Comparative study of quantum error correction strategies for the heavy-hexagonal lattice
- Fermionic wave packet scattering: a quantum computing approach
- Adaptive variational low-rank dynamics for open quantum systems
- Adaptive projected variational quantum dynamics
- Optimized noise-assisted simulation of the Lindblad equation with time-dependent coefficients on a noisy quantum processor
- Techniques for learning sparse Pauli-Lindblad noise models
- Experimental virtual distillation of entanglement and coherence
- Quantum subspace expansion in the presence of hardware noise
- Detection of temporal fluctuation in superconducting qubits for quantum error mitigation
- Approximate Quantum Compiling for Quantum Simulation: A Tensor Network based approach
- A generalized cycle benchmarking algorithm for characterizing mid-circuit measurements
- Digital quantum simulation of non-perturbative dynamics of open systems with orthogonal polynomials
- Pauli Noise Learning for Mid-Circuit Measurements
- Quantum State Reconstruction in a Noisy Environment via Deep Learning
- Noise-Robust Detection of Quantum Phase Transitions
- Modeling error correction with Lindblad dynamics and approximate channels
- Quantum error cancellation in photonic systems -- undoing photon losses
- Halving the Cost of Quantum Algorithms with Randomization
- Symmetric Clifford twirling for cost-optimal quantum error mitigation in early FTQC regime
- Noise-Agnostic Quantum Error Mitigation with Data Augmented Neural Models
- Two-dimensional coherent spectrum of high-spin models via a quantum computing approach
- Charge-parity switching effects and optimisation of transmon-qubit design parameters
- Error-Mitigated Quantum Simulation of Interacting Fermions with Trapped Ions
- Learning a quantum channel from its steady-state
- Empirical learning of dynamical decoupling on quantum processors
- Simulating nonlinear optical processes on a superconducting quantum device
- Problem-tailored Simulation of Energy Transport on Noisy Quantum Computers
- Demonstrating quantum error mitigation on logical qubits
- Linear and Non-Linear Response of Quadratic Lindbladians
- Efficient separate quantification of state preparation errors and measurement errors on quantum computers and their mitigation
- Adaptive variational ground state preparation for spin-1 models on qubit-based architectures
- Quantum error mitigation in the regime of high noise using deep neural network: Trotterized dynamics
- Efficient self-consistent learning of gate set Pauli noise
- Inverted-circuit zero-noise extrapolation for quantum gate error mitigation
- Machine learning of quantum channels on NISQ devices
- Compressed quantum error mitigation
- Quantum error mitigation by layerwise Richardson extrapolation
- Unveiling clean two-dimensional discrete time crystals on a digital quantum computer
- Generalized hydrodynamics of integrable quantum circuits
- Efficient Lindblad synthesis for noise model construction
- Ansatz-free Hamiltonian learning with Heisenberg-limited scaling
- QuTracer: Mitigating Quantum Gate and Measurement Errors by Tracing Subsets of Qubits
- Practical techniques for high-precision measurements on near-term quantum hardware and applications in molecular energy estimation
- Deep Circuit Compression for Quantum Dynamics via Tensor Networks
- Error mitigation and circuit division for early fault-tolerant quantum phase estimation
- High-fidelity dimer excitations using quantum hardware
- Synergy between noisy quantum computers and scalable classical deep learning
- Characterization of coherent errors in gate layers with robustness to Pauli noise
- Low-Rank Variational Quantum Algorithm for the Dynamics of Open Quantum Systems
- QCEDA: Using Quantum Computers for EDA
- Approximate inverse measurement channel for shallow shadows
- Optimal compression of constrained quantum time evolution
- Simulation of open quantum systems on universal quantum computers
- Readout Error Mitigation for Mid-Circuit Measurements and Feedforward
- Virtual Z gates and symmetric gate compilation
- Noisy Probabilistic Error Cancellation and Generalized Physical Implementability
- Impact of dynamics, entanglement, and Markovian noise on the fidelity of few-qubit digital quantum simulation
- Accurate and Honest Approximation of Correlated Qubit Noise
- Resource-efficient Generalized Quantum Subspace Expansion
- Power of quantum measurement in simulating unphysical operations
- Almost fault-tolerant quantum machine learning with drastic overhead reduction
- Revealing correlated noise with single-qubit operations
- Digital Quantum Simulation of Spin Transport
- Mitigation of correlated readout errors without randomized measurements
- Purity-Assisted Zero-Noise Extrapolation for Quantum Error Mitigation
- Entanglement signature in quantum work statistics in the slow-driving regime
- A Riemannian Approach to the Lindbladian Dynamics of a Locally Purified Tensor Network
- Dynamics of measurement-induced state transitions in superconducting qubits
- Theory of quantum error mitigation for non-Clifford gates
- Agnostic Process Tomography
- The superadditivity effects of quantum capacity decrease with the dimension for qudit depolarizing channels
- Simulating the Fermi-Hubbard model with long-range hopping on a quantum computer
- Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
- A circuit-differentiation framework for Green's functions on quantum computers
- Achieving computational gains with quantum error-correction primitives: Generation of long-range entanglement enhanced by error detection
- Error Mitigation Thresholds in Noisy Random Quantum Circuits
- Mitigating photon loss in linear optical quantum circuits
- Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
- Noise tolerance via reinforcement: Learning a reinforced quantum dynamics
- Error Crafting in Mixed Quantum Gate Synthesis
- Low bit-flip rate probabilistic error cancellation
- Variational quantum algorithms with invariant probabilistic error cancellation on noisy quantum processors
- Bayesian mitigation of measurement errors in multiqubit experiments
- Robust preparation of ground state phases under noisy imaginary time evolution
- Feasibility of performing quantum chemistry calculations on quantum computers
- Error Mitigation of BQP Computations using Measurement-Based Verification
- Superdiffusion resilience in Heisenberg Chains with 2D interactions on a quantum processor
- Digital Zero-Noise Extrapolation with Quantum Circuit Unoptimization
- Noise-Agnostic Unbiased Quantum Error Mitigation for Logical Qubits
- Exploiting biased noise in variational quantum models
- Error-Mitigated Multi-Layer Quantum Routing
- Structural encoding with classical codes for computational-basis bit-flip correction in the early fault-tolerant regime
- Linear-optical protocols for mitigating and suppressing noise in bosonic systems
- Reduced Sampling Overhead for Probabilistic Error Cancellation by Pauli Error Propagation
- Normal quantum channels and Markovian correlated two-qubit quantum errors
- Resilience-Runtime Tradeoff Relations for Quantum Algorithms
- Jet evolution in a quantum computer: quark and gluon dynamics
- Near-Term Fermionic Simulation with Subspace Noise Tailored Quantum Error Mitigation
- Q-Cluster: Quantum Error Mitigation Through Noise-Aware Unsupervised Learning
- Disambiguating Pauli noise in quantum computers
- Zero-Noise Extrapolation via Cyclic Permutations of Quantum Circuit Layouts
- Moments of Quantum Channel Ensembles
- Scalable Simulation of Fermionic Encoding Performance on Noisy Quantum Computers
- Mitigating errors in state preparation and measurement with noncomputational states
- On the Fundamental Resource for Exponential Advantage in Quantum Channel Learning
- Simulating plasma wave propagation on a superconducting quantum chip
- Error-mitigated inference of quantum network topology
- Learning mixed quantum states in large-scale experiments
- Shift of quantum critical point of discrete time crystal on a noisy quantum simulator
- Globally optimal control of quantum dynamics
- Efficient and operational quantifier of non-divisibility in terms of channel discrimination
- Noise-tailored Constructions for Spin Wigner Function Kernels
- Feed-Forward Probabilistic Error Cancellation with Noisy Recovery Gates