Error-mitigated digital quantum simulation

Abstract

Variational algorithms may enable classically intractable simulations on near-future quantum computers. However, their potential is limited by hardware errors. It is therefore crucial to develop efficient ways to mitigate these errors. Here, we propose a stabiliser-like method which enables the detection of up to 60 - 80 % of depolarising errors. Our method is suitable for near-term quantum hardware. Simulations show that our method can significantly benefit calculations subject to both stochastic and correlated noise, especially when combined with existing error mitigation techniques.

Published version

References in corpus (37)

• Quantum Computing in the NISQ era and beyond
• A variational eigenvalue solver on a quantum processor
• Surface codes: Towards practical large-scale quantum computation
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• Barren plateaus in quantum neural network training landscapes
• The theory of variational hybrid quantum-classical algorithms
• Simulated Quantum Computation of Molecular Energies
• Error mitigation for short-depth quantum circuits
• Quantum information processing with superconducting circuits: a review
• Extending the computational reach of a noisy superconducting quantum processor
• Scalable Quantum Simulation of Molecular Energies
• High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
• High-fidelity quantum logic gates using trapped-ion hyperfine qubits
• Elucidating Reaction Mechanisms on Quantum Computers
• Towards Practical Quantum Variational Algorithms
• Large Scale Modular Quantum Computer Architecture with Atomic Memory and Photonic Interconnects
• Efficient variational quantum simulator incorporating active error minimisation
• Roads towards fault-tolerant universal quantum computation
• The Bravyi-Kitaev transformation for quantum computation of electronic structure
• Practical Quantum Error Mitigation for Near-Future Applications
• High-Fidelity Universal Gate Set for ${}^9$Be${}^{+}$ Ion Qubits
• Hybrid Quantum-Classical Hierarchy for Mitigation of Decoherence and Determination of Excited States
• Experimental Comparison of Two Quantum Computing Architectures
• Simulation of Electronic Structure Hamiltonians Using Quantum Computers
• Robust determination of molecular spectra on a quantum processor
• Quantum chemistry calculations on a trapped-ion quantum simulator
• Direct estimations of linear and non-linear functionals of a quantum state
• Universal Quantum Estimator
• Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
• Quantum algorithms for electronic structure calculations: particle/hole Hamiltonian and optimized wavefunction expansions
• Low Depth Quantum Simulation of Electronic Structure
• Low-cost error mitigation by symmetry verification
• From transistor to trapped-ion computers for quantum chemistry
• Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
• Quantum algorithms to simulate many-body physics of correlated fermions
• High Speed, High Fidelity Detection of an Atomic Hyperfine Qubit
• Freely Scalable Quantum Technologies using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links

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• A Theory of Trotter Error
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• A Review on Quantum Approximate Optimization Algorithm and its Variants
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• Efficient and Noise Resilient Measurements for Quantum Chemistry on Near-Term Quantum Computers
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• Variational quantum simulation of general processes
• Efficient Symmetry-Preserving State Preparation Circuits for the Variational Quantum Eigensolver Algorithm
• Virtual Distillation for Quantum Error Mitigation
• Scalable error mitigation for noisy quantum circuits produces competitive expectation values
• The prospects of quantum computing in computational molecular biology
• Solving nonlinear differential equations with differentiable quantum circuits
• Challenges and Opportunities of Near-Term Quantum Computing Systems
• Emerging quantum computing algorithms for quantum chemistry
• Variational algorithms for linear algebra
• Mitigating depolarizing noise on quantum computers with noise-estimation circuits
• Fundamental limits of quantum error mitigation
• Fermionic partial tomography via classical shadows
• A Non-Orthogonal Variational Quantum Eigensolver
• Exponential Error Suppression for Near-Term Quantum Devices
• Quantum computers as universal quantum simulators: state-of-art and perspectives
• Error Mitigation by Symmetry Verification on a Variational Quantum Eigensolver
• Reducing qubit requirements for quantum simulation using molecular point group symmetries
• Decoding quantum errors with subspace expansions
• Efficient measure for the expressivity of variational quantum algorithms
• Mitiq: A software package for error mitigation on noisy quantum computers
• Quantum Computation of Finite-Temperature Static and Dynamical Properties of Spin Systems Using Quantum Imaginary Time Evolution
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• Near-Term Quantum Computing Techniques: Variational Quantum Algorithms, Error Mitigation, Circuit Compilation, Benchmarking and Classical Simulation
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• Biology and medicine in the landscape of quantum advantages
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• Calculation of the Green's function on near-term quantum computers
• Symmetry-adapted variational quantum eigensolver
• Generalized quantum subspace expansion
• Multi-exponential Error Extrapolation and Combining Error Mitigation Techniques for NISQ Applications
• Orbital-optimized pair-correlated electron simulations on trapped-ion quantum computers
• Error mitigation via verified phase estimation
• Provably accurate simulation of gauge theories and bosonic systems
• Quantum Filter Diagonalization with Double-Factorized Hamiltonians
• Variational Quantum Singular Value Decomposition
• Purification-based quantum error mitigation of pair-correlated electron simulations
• Measurement Error Mitigation in Quantum Computers Through Classical Bit-Flip Correction
• Optimal resource cost for error mitigation
• Demonstration of Adiabatic Variational Quantum Computing with a Superconducting Quantum Coprocessor
• Error mitigation for variational quantum algorithms through mid-circuit measurements
• Demonstrating a long-coherence dual-rail erasure qubit using tunable transmons
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• Resource Estimation for Quantum Variational Simulations of the Hubbard Model
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• Towards quantum advantage via topological data analysis
• Stabilizing multiple topological fermions on a quantum computer
• Non-unitary operations for ground-state calculations in near term quantum computers
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• Resolving Correlated States of Benzyne on a Quantum Computer with an Error-Mitigated Quantum Contracted Eigenvalue Solver
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• Artificial Intelligence for Quantum Computing
• Toward convergence of effective field theory simulations on digital quantum computers
• Unifying and benchmarking state-of-the-art quantum error mitigation techniques
• Exact and approximate symmetry projectors for the electronic structure problem on a quantum computer
• Quantum Error Mitigated Classical Shadows
• Error detection on quantum computers improves accuracy of chemical calculations
• High-fidelity realization of the AKLT state on a NISQ-era quantum processor
• Algorithmic Error Mitigation Scheme for Current Quantum Processors
• Variational circuit compiler for quantum error correction
• Accelerated quantum Monte Carlo with mitigated error on noisy quantum computer
• Error statistics and scalability of quantum error mitigation formulas
• Preserving Symmetries for Variational Quantum Eigensolvers in the Presence of Noise
• Quantum expectation-value estimation by computational basis sampling
• Observation of higher-order topological states on a quantum computer
• A brief introduction to quantum algorithms
• Symmetry breaking/symmetry preserving circuits and symmetry restoration on quantum computers: A quantum many-body perspective
• Statistical phase estimation and error mitigation on a superconducting quantum processor
• Error Mitigation for Deep Quantum Optimization Circuits by Leveraging Problem Symmetries
• Noise-resilient phase estimation with randomized compiling
• Quantum-Selected Configuration Interaction: classical diagonalization of Hamiltonians in subspaces selected by quantum computers
• Boltzmann machine learning with a variational quantum algorithm
• Generic detection-based error-mitigation using quantum autoencoders
• Error mitigation with Clifford quantum-circuit data
• Towards a variational Jordan-Lee-Preskill quantum algorithm
• Group-theoretic error mitigation enabled by classical shadows and symmetries
• AGP-based unitary coupled cluster theory for quantum computers
• Quantum Error Mitigation by Pauli Check Sandwiching
• Benchmarking Noise Extrapolation with OpenPulse
• Optimization of Richardson extrapolation for quantum error mitigation
• Post-Hartree-Fock method in Quantum Chemistry for Quantum Computer
• Optimizing the information extracted by a single qubit measurement
• Berry Phase Estimation in Gate-Based Adiabatic Quantum Simulation
• Activation of metrologically useful genuine multipartite entanglement
• Towards the real-time evolution of gauge-invariant ${\mathbb{Z}}_2$ and $U(1)$ quantum link models on NISQ Hardware with error-mitigation
• Variational Quantum-Neural Hybrid Error Mitigation
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• Error mitigation on a near-term quantum photonic device
• Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computer
• General error mitigation for quantum circuits
• Quantum State Tomography with Locally Purified Density Operators and Local Measurements
• Lowering Tomography Costs in Quantum Simulation with a Symmetry Projected Operator Basis
• Leveraging Randomized Compiling for the QITE Algorithm
• Contextual Subspace Variational Quantum Eigensolver Calculation of the Dissociation Curve of Molecular Nitrogen on a Superconducting Quantum Computer
• NISQ: Error Correction, Mitigation, and Noise Simulation
• Numerical hardware-efficient variational quantum simulation of a soliton solution
• Resource-efficient Purification-based Quantum Error Mitigation
• Efficient Assessment of Process Fidelity
• Benchmarking Noisy Intermediate Scale Quantum Error Mitigation Strategies for Ground State Preparation of the HCl Molecule
• Robustness of Noether's principle: Maximal disconnects between conservation laws and symmetries in quantum theory
• Enabling High Performance Debugging for Variational Quantum Algorithms using Compressed Sensing
• Identification of topological phases using classically-optimized variational quantum eigensolver
• Quantum Error Mitigation via Quantum-Noise-Effect Circuit Groups
• Quantifying fermionic nonlinearity of quantum circuits
• Mitigating Quantum Errors via Truncated Neumann Series
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• Virtual quantum error detection
• Prog-QAOA: Framework for resource-efficient quantum optimization through classical programs
• Error-Mitigated Quantum Simulation of Interacting Fermions with Trapped Ions
• Time-Optimal Quantum Driving by Variational Circuit Learning
• Error mitigated variational algorithm on a photonic processor
• Energy risk analysis with Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling
• A Practical Framework for Quantum Error Mitigation
• QuTracer: Mitigating Quantum Gate and Measurement Errors by Tracing Subsets of Qubits
• Generalized hydrodynamics of integrable quantum circuits
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• Digital Quantum Simulation and Circuit Learning for the Generation of Coherent States
• Limitations of variational quantum algorithms: a quantum optimal transport approach
• Deep variational quantum eigensolver for excited states and its application to quantum chemistry calculation of periodic materials
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