Error mitigation for short-depth quantum circuits

Abstract

Two schemes are presented that mitigate the effect of errors and decoherence in short depth quantum circuits. The size of the circuits for which these techniques can be applied is limited by the rate at which the errors in the computation are introduced. Near-term applications of early quantum devices, such as quantum simulations, rely on accurate estimates of expectation values to become relevant. Decoherence and gate errors lead to wrong estimates of the expectation values of observables used to evaluate the noisy circuit. The two schemes we discuss are deliberately simple and don't require additional qubit resources, so to be as practically relevant in current experiments as possible. The first method, extrapolation to the zero noise limit, subsequently cancels powers of the noise perturbations by an application of Richardson's deferred approach to the limit. The second method cancels errors by resampling randomized circuits according to a quasi-probability distribution.

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• Quantum Algorithms for Geologic Fracture Networks
• Efficient characterization of qudit logical gates with gate set tomography using an error-free Virtual-Z-gate model
• Concatenating quantum error-correcting codes with decoherence-free subspaces and vice versa
• Practicality of quantum adiabatic algorithm for chemistry applications
• Optimal wire cutting with classical communication
• Error-Mitigated Quantum Simulation of Interacting Fermions with Trapped Ions
• Rademacher complexity of noisy quantum circuits
• Hardware-efficient entangled measurements for variational quantum algorithms
• Dynamical localization simulated on actual quantum hardware
• Estimating Gibbs partition function with quantumClifford sampling
• Quantum algorithm for evaluating operator size with Bell measurements
• Optimal unilocal virtual quantum broadcasting
• Noise-Aware Quantum Amplitude Estimation
• Two-dimensional coherent spectrum of high-spin models via a quantum computing approach
• Improving the Performance of Digitized Counterdiabatic Quantum Optimization via Algorithm-Oriented Qubit Mapping
• Noise-Agnostic Quantum Error Mitigation with Data Augmented Neural Models
• Precision ground-state energy calculation for the water molecule on a superconducting quantum processor
• Reconstructing the ideal results of a perturbed analog quantum simulator
• Demonstration of Algorithmic Quantum Speedup for an Abelian Hidden Subgroup Problem
• Calculating the Green's function of two-site Fermionic Hubbard model in a photonic system
• Equivariant Variational Quantum Eigensolver to detect Phase Transitions through Energy Level Crossings
• Noise-robust exploration of many-body quantum states on near-term quantum devices
• Quantum error cancellation in photonic systems -- undoing photon losses
• Nondestructive classification of quantum states using an algorithmic quantum computer
• Symmetric Clifford twirling for cost-optimal quantum error mitigation in early FTQC regime
• Unlocking early fault-tolerant quantum computing with mitigated magic dilution
• Quantum algorithms for cooling: a simple case study
• SHARC-VQE: Simplified Hamiltonian Approach with Refinement and Correction enabled Variational Quantum Eigensolver for Molecular Simulation
• Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer
• Error mitigated variational algorithm on a photonic processor
• Problem-tailored Simulation of Energy Transport on Noisy Quantum Computers
• Quantum Dynamic Programming
• Characterizing and mitigating coherent errors in a trapped ion quantum processor using hidden inverses
• Sparse Probabilistic Synthesis of Quantum Operations
• Demonstrating Quantum Computation for Quasiparticle Band Structures
• Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range
• Experimenting quantum phenomena on NISQ computers using high level quantum programming
• Qubit-efficient exponential suppression of errors
• Error mitigation, optimization, and extrapolation on a trapped ion testbed
• A Practical Framework for Quantum Error Mitigation
• Error-mitigated deep-circuit quantum simulation of open systems: steady state and relaxation rate problems
• Best-approximation error for parametric quantum circuits
• Efficient separate quantification of state preparation errors and measurement errors on quantum computers and their mitigation
• An approach to solve the coarse-grained Protein folding problem in a Quantum Computer
• Scalable quantum measurement error mitigation via conditional independence and transfer learning
• Demonstrating quantum error mitigation on logical qubits
• Empirical learning of dynamical decoupling on quantum processors
• Qubit assignment using time reversal
• Probing the limits of variational quantum algorithms for nonlinear ground states on real quantum hardware: The effects of noise
• Increasing the Measured Effective Quantum Volume with Zero Noise Extrapolation
• Calculation of Gibbs partition function with imaginary time evolution on near-term quantum computers
• Noise Correlations in a 1D Silicon Spin Qubit Array
• Compressed quantum error mitigation
• Full Band Structure Calculation of Semiconducting Materials on a Noisy Quantum Processor
• Quantum computing quantum Monte Carlo algorithm
• Mitigating Quantum Gate Errors for Variational Eigensolvers Using Hardware-Inspired Zero-Noise Extrapolation
• On the unraveling of open quantum dynamics
• Universal noise-precision relations in variational quantum algorithms
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware
• Quantum topological data analysis via the estimation of the density of states
• Folding-Free ZNE: A Comprehensive Quantum Zero-Noise Extrapolation Approach for Mitigating Depolarizing and Decoherence Noise
• Optimized Noise Suppression for Quantum Circuits
• Generalized hydrodynamics of integrable quantum circuits
• Self-consistent tomography of temporally correlated errors
• Network Operations Scheduling for Distributed Quantum Computing
• Quantum algorithm for calculation of transition amplitudes in hybrid tensor networks
• Matrix product state ansatz for the variational quantum solution of the Heisenberg model on Kagome geometries
• Limitations of variational quantum algorithms: a quantum optimal transport approach
• Quantum error mitigation by layerwise Richardson extrapolation
• Variational quantum simulation of critical Ising model with symmetry averaging
• Inverted-circuit zero-noise extrapolation for quantum gate error mitigation
• Unveiling clean two-dimensional discrete time crystals on a digital quantum computer
• QuTracer: Mitigating Quantum Gate and Measurement Errors by Tracing Subsets of Qubits
• Dilution of error in digital Hamiltonian simulation
• Machine learning of quantum channels on NISQ devices
• Quantum computing fidelity susceptibility using automatic differentiation
• Quantum error mitigation in the regime of high noise using deep neural network: Trotterized dynamics
• Efficient Lindblad synthesis for noise model construction
• Preparing Renormalization Group Fixed Points on NISQ Hardware
• Improving the efficiency of learning-based error mitigation
• Computing Electronic Correlation Energies using Linear Depth Quantum Circuits
• Inverse iteration quantum eigensolvers assisted with a continuous variable
• Partitioned Quantum Subspace Expansion
• Enhancing qubit readout with Bayesian Learning
• Multireference error mitigation for quantum computation of chemistry
• Digital quantum simulation of cosmological particle creation with IBM quantum computers
• Learning from physics experiments, with quantum computers: Applications in muon spectroscopy
• QuFeX: Quantum feature extraction module for hybrid quantum-classical deep neural networks
• Hardware-Efficient Preparation of Graph States on Near-Term Quantum Computers
• Synergy between noisy quantum computers and scalable classical deep learning
• Extending Quantum Computing through Subspace, Embedding and Classical Molecular Dynamics Techniques
• Isolated zero mode in a quantum computer from a duality twist
• Characterization of coherent errors in gate layers with robustness to Pauli noise
• Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories
• Braiding fractional quantum Hall quasiholes on a superconducting quantum processor
• Quantum error mitigation for rotation symmetric bosonic codes with symmetry expansion
• Error suppression in multicomponent cat codes with photon subtraction and teleamplification
• Shadow Simulation of Quantum Processes
• Calculation of the moscovium ground-state energy by quantum algorithms
• Cross-Platform Comparison of Arbitrary Quantum Processes
• BCQQ: Batch-Constraint Quantum Q-Learning with Cyclic Data Re-uploading
• Quantum-enhanced Markov Chain Monte Carlo for systems larger than your Quantum Computer
• Deep variational quantum eigensolver for excited states and its application to quantum chemistry calculation of periodic materials
• Pauli transfer matrix direct reconstruction: channel characterization without full process tomography
• Sequence of penalties method to study excited states using VQE
• Approximate inverse measurement channel for shallow shadows
• Joint Wire Cutting with Non-Maximally Entangled States
• Error mitigation and circuit division for early fault-tolerant quantum phase estimation
• Estimating Coherent Contributions to the Error Profile Using Cycle Error Reconstruction
• Experimental error mitigation using linear rescaling for variational quantum eigensolving with up to 20 qubits
• Optimal compression of constrained quantum time evolution
• Simulating polaritonic ground states on noisy quantum devices
• Quantum Tunneling: From Theory to Error-Mitigated Quantum Simulation
• Readout Error Mitigation for Mid-Circuit Measurements and Feedforward
• Persistent quantum advantage with definite photon-number states in lossy multiple-phase estimation
• Benchmarking the quality of multiplexed qubit readout beyond assignment fidelity
• Resource-efficient Generalized Quantum Subspace Expansion
• More buck-per-shot: Why learning trumps mitigation in noisy quantum sensing
• Noisy Probabilistic Error Cancellation and Generalized Physical Implementability
• Universal framework for simultaneous tomography of quantum states and SPAM noise
• Flux control of superconducting qubits at dynamical sweet spots
• Power of quantum measurement in simulating unphysical operations
• Limitations of Noisy Quantum Devices in Computational and Entangling Power
• Error Mitigation in Quantum Computers subject to Spatially Correlated Noise
• Multiqubit noise deconvolution and characterization
• Sequency Hierarchy Truncation (SeqHT) for Adiabatic State Preparation and Time Evolution in Quantum Simulations
• Echo-evolution data generation for quantum error mitigation via neural networks
• Quantum channel decomposition with pre- and post-selection
• Measuring NISQ Gate-Based Qubit Stability Using a 1+1 Field Theory and Cycle Benchmarking
• Platform tailored co-design of gate-based quantum simulation
• Digital Quantum Simulation of Scalar Yukawa Coupling
• Detecting and Eliminating Quantum Noise of Quantum Measurements
• Error Mitigation Thresholds in Noisy Random Quantum Circuits
• Q-fid: Quantum Circuit Fidelity Improvement with LSTM Networks
• Practical Quantum Computing: The value of local computation
• Error-Mitigated Quantum Routing on Noisy Devices
• Practical limitations of quantum data propagation on noisy quantum processors
• Information theoretic approach to readout error mitigation for quantum computers
• Simulation-assisted learning of open quantum systems
• Automated quantum error mitigation based on probabilistic error reduction
• Density matrix representation of hybrid tensor networks for noisy quantum devices
• Purity-Assisted Zero-Noise Extrapolation for Quantum Error Mitigation
• Ground state energy and magnetization curve of a frustrated magnetic system from real-time evolution on a digital quantum processor
• Enhancing quantum models of stochastic processes with error mitigation
• Low Depth Virtual Distillation of Quantum Circuits by Deterministic Circuit Decomposition
• Dynamics of measurement-induced state transitions in superconducting qubits
• Maximum Likelihood Quantum Error Mitigation for Algorithms with a Single Correct Output
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
• Theory of quantum error mitigation for non-Clifford gates
• Graph Neural Networks for Parameterized Quantum Circuits Expressibility Estimation
• Quantum Software Ecosystem Design
• A Unified Framework for Quantum Supervised Learning
• Accurately Simulating the Time Evolution of an Ising Model with Echo Verified Clifford Data Regression on a Superconducting Quantum Computer
• Representation matching for delegated quantum computing
• A recipe for local simulation of strongly-correlated fermionic matter on quantum computers: the 2D Fermi-Hubbard model
• Qonductor: A Cloud Orchestrator for Quantum Computing
• Agnostic Process Tomography
• Analog simulation of noisy quantum circuits
• Expressivity of deterministic quantum computation with one qubit
• Single-Copy Certification of Two-Qubit Gates without Entanglement
• Mitigation of correlated readout errors without randomized measurements
• No Practical Quantum Broadcasting: Even Virtually
• Time-resolved tomography of a driven adiabatic quantum simulation
• Perspectives on Utilization of Measurements in Quantum Algorithms
• Quantum Computing Beyond Ground State Electronic Structure: A Review of Progress Toward Quantum Chemistry Out of the Ground State
• Decoherence-free propagation and ramification of a solitary pulse
• Quantum error mitigation for parametric circuits
• The Accuracy vs. Sampling Overhead Trade-off in Quantum Error Mitigation Using Monte Carlo-Based Channel Inversion
• Modelling for Quantum Error Mitigation
• A low-circuit-depth quantum computing approach to the nuclear shell model
• Symmetric channel verification for purifying noisy quantum channels
• Post-selection-free preparation of high-quality physical qubits
• Quantum computational advantage of noisy boson sampling with partially distinguishable photons
• Enhancing Quantum Algorithms for Quadratic Unconstrained Binary Optimization via Integer Programming
• Direct Analysis of Zero-Noise Extrapolation: Polynomial Methods, Error Bounds, and Simultaneous Physical-Algorithmic Error Mitigation
• Evolution of Entanglement Witness of Dicke State under Noise and Error Mitigation
• Digital Zero-Noise Extrapolation with Quantum Circuit Unoptimization
• Quantum Machine Learning for Identifying Transient Events in X-ray Light Curves
• Hardware-efficient quantum annealing with error mitigation via classical shadow
• Noise-Agnostic Unbiased Quantum Error Mitigation for Logical Qubits
• Simulating sparse SYK model with a randomized algorithm on a trapped-ion quantum computer
• Error Mitigation in Quantum Computers through Instruction Scheduling
• Perturbative tomography of small errors in quantum gates
• Revealing quantum operator scrambling via measuring Holevo information on digital quantum simulators
• Circuit cutting with classical side information
• Study of noise in virtual distillation circuits for quantum error mitigation
• Dynamic thermalization on noisy quantum hardware
• Qubit Readout Error Mitigation with Bit-flip Averaging
• Virtual Quantum Markov Chains
• Ancilla-Assisted Protection of Information: Application to Atom-Cavity Systems
• Diabatic quantum annealing for training energy-based generative models
• Circuit-Noise-Resilient Virtual Distillation
• Quantum Utility in Simulating the Real-time Dynamics of the Fermi-Hubbard Model using Superconducting Quantum Computers
• Quantum Algorithm for Green's Functions Measurements in the Fermi-Hubbard Model
• State preparation and evolution in quantum computing: a perspective from Hamiltonian moments
• Mitigating photon loss in linear optical quantum circuits
• Error Crafting in Mixed Quantum Gate Synthesis
• Mitigating Errors in Analog Quantum Simulation by Hamiltonian Reshaping or Hamiltonian Rescaling
• Suppressing decoherence in quantum state transfer with unitary operations
• Dual Map Framework for Noise Characterization of Quantum Computers
• Feasibility of performing quantum chemistry calculations on quantum computers
• Bayesian mitigation of measurement errors in multiqubit experiments
• Error Mitigation of BQP Computations using Measurement-Based Verification
• Chasing shadows with Gottesman-Kitaev-Preskill codes
• Recurrence in discrete-time quantum stochastic walks
• Distributing Quantum Computations, Shot-wise
• Multi-channel convolutional neural quantum embedding
• Noise Mitigation with Delay Pulses in the IBM Quantum Experience
• Realizing non-trivial doublon formation using a quantum computer
• Variational quantum algorithms with invariant probabilistic error cancellation on noisy quantum processors
• Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
• Efficient Estimation and Sequential Optimization of Cost Functions in Variational Quantum Algorithms
• Low bit-flip rate probabilistic error cancellation
• Real-time adaptation of quantum noise channel estimates
• Extension of the Jordan-Wigner mapping to nonorthogonal spin orbitals for quantum computing application to valence bond approaches
• Robust Error Accumulation Suppression for Quantum Circuits
• Calculation of $\pi$ on the IBM quantum computer and the accuracy of one-qubit operations
• Simplifying errors by symmetry and randomisation
• Schrödinger cat states of a macroscopic charged particle co-trapped with an ion
• Quantum statistical effect induced through conditioned post-processing procedures with unitary $t$-designs
• Dimensional Expressivity Analysis, best-approximation errors, and automated design of parametric quantum circuits
• The Virtual Quantum Device (VQD): A tool for detailed emulation of quantum computers
• Data-driven Quantum Dynamical Embedding Method for Long-term Prediction on Near-term Quantum Computers
• Reduced Sampling Overhead for Probabilistic Error Cancellation by Pauli Error Propagation
• Nonlinear path-following via the asymptotic numerical method on a quantum processor
• A loop Quantum Approximate Optimization Algorithm with Hamiltonian updating
• Quantum Computing Demonstration of the Polaron-Molecule Transition on a NISQ Device
• Error-Mitigated Multi-Layer Quantum Routing
• BBGKY hierarchy for quantum error mitigation
• Digit quantum simulation of a fermion field in an expanding universe
• Jet evolution in a quantum computer: quark and gluon dynamics
• Calibration of syndrome measurements in a single experiment
• Ideal stochastic process modeling with post-quantum quasiprobabilistic theories
• Circuit connectivity boosts by quantum-classical-quantum interfaces
• A Useful Metric for the NISQ Era: Qubit Error Probability and Its Role in Zero Noise Extrapolation
• Near-Term Fermionic Simulation with Subspace Noise Tailored Quantum Error Mitigation
• Direct entanglement ansatz learning (DEAL) with ZNE on error-prone superconducting qubits
• iSwitch: QEC on Demand via In-Situ Encoding of Bare Qubits for Ion Trap Architectures
• Hybrid quantum recurrent neural network for remaining useful life prediction of turbofan engines
• Feed-Forward Probabilistic Error Cancellation with Noisy Recovery Gates
• Unbiased observable estimation with approximate channels in fault-tolerant quantum computation
• Disambiguating Pauli noise in quantum computers
• Efficient Characterization of Coherent and Correlated Low-Degree Noise in Layers of Gates
• Simulating plasma wave propagation on a superconducting quantum chip
• Sampling (noisy) quantum circuits through randomized rounding
• Error-Mitigated Quantum Random Access Memory
• Quantum Gate Pattern Recognition and Circuit Optimization for Scientific Applications
• Two Variations of Quantum Phase Estimation for Reducing Circuit Error Rates: Application to the Harrow--Hassidim--Lloyd Algorithm
• Simulating collider physics on quantum computers using effective field theories
• Error-mitigated inference of quantum network topology
• Noise-Resilient Quantum Reinforcement Learning
• Power and limitations of distributed quantum state purification
• (2+1)D quantum electrodynamics at finite density on a quantum computer
• Locally Purified Maximally Mixed States At Scale: Entanglement Pruning and Symmetries
• A Time Optimization Framework for the Implementation of Robust and Low-latency Quantum Circuits
• Shift of quantum critical point of discrete time crystal on a noisy quantum simulator
• Quantum-Stable Robust Principal Component Analysis: Theory and Evidence from NISQ Regimes
• Exploiting biased noise in variational quantum models
• Structural encoding with classical codes for computational-basis bit-flip correction in the early fault-tolerant regime
• Molecular resonance identification in complex absorbing potentials via integrated quantum computing and high-throughput computing
• Zero-Noise Extrapolation via Cyclic Permutations of Quantum Circuit Layouts
• Constrained Shadow Tomography for Molecular Simulation on Quantum Devices
• Virtual phase-covariant quantum broadcasting for qubits
• Noisy Monitored Quantum Circuits
• Learning agent-based approach to the characterization of open quantum systems
• Robust Negativity in the Quantum-to-Classical Transition of Kerr Dynamics
• Active Sampling Sample-based Quantum Diagonalization from Finite-Shot Measurements
• Error Mitigation in Dynamic Circuits for Hamiltonian Simulation
• Prime Number Identification Demonstrated with Quantum Processors Using a New Rescaling-Based Noise Mitigation Technique
• Physics-Guided Linear Mapper for Quantum Error Mitigation
• Virtual Cloning of Quantum States