Barren plateaus in quantum neural network training landscapes
arXiv:1803.11173 · doi:10.1038/s41467-018-07090-4
Abstract
Many experimental proposals for noisy intermediate scale quantum devices involve training a parameterized quantum circuit with a classical optimization loop. Such hybrid quantum-classical algorithms are popular for applications in quantum simulation, optimization, and machine learning. Due to its simplicity and hardware efficiency, random circuits are often proposed as initial guesses for exploring the space of quantum states. We show that the exponential dimension of Hilbert space and the gradient estimation complexity make this choice unsuitable for hybrid quantum-classical algorithms run on more than a few qubits. Specifically, we show that for a wide class of reasonable parameterized quantum circuits, the probability that the gradient along any reasonable direction is non-zero to some fixed precision is exponentially small as a function of the number of qubits. We argue that this is related to the 2-design characteristic of random circuits, and that solutions to this problem must be studied.
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- A Hyperparameter Study for Quantum Kernel Methods
- Replacing neural networks by optimal analytical predictors for the detection of phase transitions
- Trainability and Expressivity of Hamming-Weight Preserving Quantum Circuits for Machine Learning
- Quantum Gaussian filter for exploring ground-state properties
- Assessment of the variational quantum eigensolver: application to the Heisenberg model
- Multiobjective variational quantum optimization for constrained problems: an application to Cash Management
- Encoding trade-offs and design toolkits in quantum algorithms for discrete optimization: coloring, routing, scheduling, and other problems
- Guaranteed efficient energy estimation of quantum many-body Hamiltonians using ShadowGrouping
- Incremental Data-Uploading for Full-Quantum Classification
- Playing Atari with Hybrid Quantum-Classical Reinforcement Learning
- A stabilizer framework for Contextual Subspace VQE and the noncontextual projection ansatz
- Dynamical mean-field theory for the Hubbard-Holstein model on a quantum device
- Quantum Circuit Evolution on NISQ Devices
- Mixer-Phaser Ansätze for Quantum Optimization with Hard Constraints
- Diabatic Quantum Annealing for the Frustrated Ring Model
- Quantifying scrambling in quantum neural networks
- What can we learn from quantum convolutional neural networks?
- Natural parameterized quantum circuit
- Entanglement Diagnostics for Efficient Quantum Computation
- A blueprint for a Digital-Analog Variational Quantum Eigensolver using Rydberg atom arrays
- Realization of a quantum neural network using repeat-until-success circuits in a superconducting quantum processor
- Long-lived Particles Anomaly Detection with Parametrized Quantum Circuits
- How to enhance quantum generative adversarial learning of noisy information
- Semisupervised Anomaly Detection using Support Vector Regression with Quantum Kernel
- Introducing Non-Linear Activations into Quantum Generative Models
- Dynamic-ADAPT-QAOA: An algorithm with shallow and noise-resilient circuits
- Exploring Parameter Redundancy in the Unitary Coupled-Cluster Ansatze for Hybrid Variational Quantum Computing
- Reducing the Resources Required by ADAPT-VQE Using Coupled Exchange Operators and Improved Subroutines
- Beyond unital noise in variational quantum algorithms: noise-induced barren plateaus and limit sets
- On exploring the potential of quantum auto-encoder for learning quantum systems
- EHA: Entanglement-variational Hardware-efficient Ansatz for Eigensolvers
- Drawing together control landscape and tomography principles
- Quantum Computing and Tensor Networks for Laminate Design: A Novel Approach to Stacking Sequence Retrieval
- Neural quantum kernels: training quantum kernels with quantum neural networks
- Improving the speed of variational quantum algorithms for quantum error correction
- Randomized adaptive quantum state preparation
- Optimizing Variational Quantum Algorithms with qBang: Efficiently Interweaving Metric and Momentum to Navigate Flat Energy Landscapes
- A Quantum Kernel Learning Approach to Acoustic Modeling for Spoken Command Recognition
- Algorithmic Shadow Spectroscopy
- Efficient MPS representations and quantum circuits from the Fourier modes of classical image data
- A Parameter Setting Heuristic for the Quantum Alternating Operator Ansatz
- Quantum-selected configuration interaction with time-evolved state
- VQE Method: A Short Survey and Recent Developments
- Analyzing variational quantum landscapes with information content
- Automatic quantum circuit encoding of a given arbitrary quantum state
- A general framework for active space embedding methods: applications in quantum computing
- Simulating scalar field theories on quantum computers with limited resources
- Quantum computing through the lens of control: A tutorial introduction
- A Benchmarking Study of Quantum Algorithms for Combinatorial Optimization
- Mitigated barren plateaus in the time-nonlocal optimization of analog quantum-algorithm protocols
- Optimizing Quantum Convolutional Neural Network Architectures for Arbitrary Data Dimension
- Sampling Error Analysis in Quantum Krylov Subspace Diagonalization
- Hybrid discrete-continuous compilation of trapped-ion quantum circuits with deep reinforcement learning
- Quantum Next Generation Reservoir Computing: An Efficient Quantum Algorithm for Forecasting Quantum Dynamics
- Multi-Objective Optimization and Network Routing with Near-Term Quantum Computers
- A Quantum Computing Implementation of Nuclear-Electronic Orbital (NEO) Theory: Towards an Exact pre-Born-Oppenheimer Formulation of Molecular Quantum Systems
- Beyond MP2 initialization for unitary coupled cluster quantum circuits
- The role of data embedding in equivariant quantum convolutional neural networks
- Impact of the form of weighted networks on the quantum extreme reservoir computation
- Highly optimized quantum circuits synthesized via data-flow engines
- Grover-QAOA for 3-SAT: Quadratic Speedup, Fair-Sampling, and Parameter Clustering
- Constrained and Vanishing Expressivity of Quantum Fourier Models
- Improved approximation algorithms for bounded-degree local Hamiltonians
- Experimental Quantum Learning of a Spectral Decomposition
- Dissipative variational quantum algorithms for Gibbs state preparation
- Using (1 + 1)D Quantum Cellular Automata for Exploring Collective Effects in Large Scale Quantum Neural Networks
- Qoncord: A Multi-Device Job Scheduling Framework for Variational Quantum Algorithms
- Expressivity of Variational Quantum Machine Learning on the Boolean Cube
- Application of deep quantum neural networks to finance
- When Federated Learning Meets Quantum Computing: Survey and Research Opportunities
- The battle of clean and dirty qubits in the era of partial error correction
- QCOR: A Language Extension Specification for the Heterogeneous Quantum-Classical Model of Computation
- Estimating the randomness of quantum circuit ensembles up to 50 qubits
- Hybrid quantum learning with data re-uploading on a small-scale superconducting quantum simulator
- Trainability Barriers in Low-Depth QAOA Landscapes
- From Ansätze to Z-gates: a NASA View of Quantum Computing
- Quantum Lazy Training
- Can shallow quantum circuits scramble local noise into global white noise?
- Noise-induced shallow circuits and absence of barren plateaus
- Quantum support vector data description for anomaly detection
- Quantum Sensor Network Algorithms for Transmitter Localization
- Quantum Goemans-Williamson Algorithm with the Hadamard Test and Approximate Amplitude Constraints
- Fermionic Simulators for Enhanced Scalability of Variational Quantum Simulation
- Recycling qubits in near-term quantum computers
- Measurement-induced entanglement phase transitions in variational quantum circuits
- Avoiding Barren Plateaus with Entanglement
- Implementation of quantum stochastic walks for function approximation, two-dimensional data classification, and sequence classification
- Solving an Industrially Relevant Quantum Chemistry Problem on Quantum Hardware
- Quantum variational learning for entanglement witnessing
- Self-Adaptive Physics-Informed Quantum Machine Learning for Solving Differential Equations
- Measurement-efficient quantum Krylov subspace diagonalisation
- A tensor network discriminator architecture for classification of quantum data on quantum computers
- Leveraging Analog Quantum Computing with Neutral Atoms for Solvent Configuration Prediction in Drug Discovery
- Coarse grained intermolecular interactions on quantum processors
- Variational Quantum Algorithms for Trace Distance and Fidelity Estimation
- Large-scale simulations of Floquet physics on near-term quantum computers
- Protocols for classically training quantum generative models on probability distributions
- Towards chemical accuracy with shallow quantum circuits: A Clifford-based Hamiltonian engineering approach
- Near-term Efficient Quantum Algorithms for Entanglement Analysis
- Convex Optimization for Nonequilibrium Steady States on a Hybrid Quantum Processor
- Fast-forwarding quantum simulation with real-time quantum Krylov subspace algorithms
- Efficient and Robust Parameter Optimization of the Unitary Coupled-Cluster Ansatz
- Resource frugal optimizer for quantum machine learning
- Quantum supremacy and quantum phase transitions
- Characterization of variational quantum algorithms using free fermions
- Layering and subpool exploration for adaptive Variational Quantum Eigensolvers: Reducing circuit depth, runtime, and susceptibility to noise
- Generalization Error Bound for Quantum Machine Learning in NISQ Era -- A Survey
- Satellite image classification with neural quantum kernels
- Designs from Local Random Quantum Circuits with SU(d) Symmetry
- Laziness, Barren Plateau, and Noise in Machine Learning
- Bayesian Learning of Parameterised Quantum Circuits
- Faster variational quantum algorithms with quantum kernel-based surrogate models
- Symmetry-invariant quantum machine learning force fields
- Investigating the Effect of Noise on the Training Performance of Hybrid Quantum Neural Networks
- Enabling High Performance Debugging for Variational Quantum Algorithms using Compressed Sensing
- Splitting and Parallelizing of Quantum Convolutional Neural Networks for Learning Translationally Symmetric Data
- Hybrid Tree Tensor Networks for quantum simulation
- Quantum Eigenvector Continuation for Chemistry Applications
- Quantum subspace expansion in the presence of hardware noise
- Stochastic Reservoir Computers
- Emergence of noise-induced barren plateaus in arbitrary layered noise models
- A hybrid quantum algorithm to detect conical intersections
- QTN-VQC: An End-to-End Learning framework for Quantum Neural Networks
- Sequential optimal selection of a single-qubit gate and its relation to barren plateau in parameterized quantum circuits
- Energy-dependent barren plateau in bosonic variational quantum circuits
- F-Divergences and Cost Function Locality in Generative Modelling with Quantum Circuits
- Forecasting steam mass flow in power plants using the parallel hybrid network
- Quantum Data Compression and Quantum Cross Entropy
- Subsystem Information Capacity in Random Circuits and Hamiltonian Dynamics
- Quantum computing for classical problems: Variational Quantum Eigensolver for activated processes
- Random coordinate descent: a simple alternative for optimizing parameterized quantum circuits
- Improved iterative quantum algorithm for ground-state preparation
- Image Classification with Rotation-Invariant Variational Quantum Circuits
- Generative model for learning quantum ensemble via optimal transport loss
- Density Matrix Emulation of Quantum Recurrent Neural Networks for Multivariate Time Series Prediction
- Barren plateaus are swamped with traps
- Quantum Machine Learning using Gaussian Processes with Performant Quantum Kernels
- Problem-Size Independent Angles for a Grover-Driven Quantum Approximate Optimization Algorithm
- Variational-quantum-eigensolver-inspired optimization for spin-chain work extraction
- Unitary Designs of Symmetric Local Random Circuits
- Exploring Quantum Average-Case Distances: proofs, properties, and examples
- Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
- Operational Quantum Average-Case Distances
- Improving the performance of quantum approximate optimization for preparing non-trivial quantum states without translational symmetry
- Variational Quantum Eigensolver Ansatz for the --model
- Limitations of Hartree-Fock with quantum resources
- Training Quantum Boltzmann Machines with the -Variational Quantum Eigensolver
- SEQUENT: Towards Traceable Quantum Machine Learning using Sequential Quantum Enhanced Training
- Workflow for practical quantum chemical calculations with quantum phase estimation algorithm: electronic ground and π-π* excited states of benzene and its derivatives†
- Distributed Quantum Neural Networks via Partitioned Features Encoding
- Equivalence of cost concentration and gradient vanishing for quantum circuits: An elementary proof in the Riemannian formulation
- Quantum Supervised Learning
- Ansatz-Independent Variational Quantum Classifier
- Quantum-enhanced neural networks in the neural tangent kernel framework
- Photovoltaic power forecasting using quantum machine learning
- Performance of Particle Tracking Using a Quantum Graph Neural Network
- Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states
- Variational Quantum Circuit Design for Quantum Reinforcement Learning on Continuous Environments
- Stabilizer ground states for simulating quantum many-body physics: theory, algorithms, and applications
- Qudit-inspired optimization for graph coloring
- Quantum continual learning on a programmable superconducting processor
- Subspace Preserving Quantum Convolutional Neural Network Architectures
- Enhanced feature encoding and classification on distributed quantum hardware
- A quantum computing concept for 1-D elastic wave simulation with exponential speedup
- Quantum reservoir computing on random regular graphs
- Applicability of Measurement-based Quantum Computation towards Physically-driven Variational Quantum Eigensolver
- Efficient Strategies for Reducing Sampling Error in Quantum Krylov Subspace Diagonalization
- Beyond Quantum Annealing: Optimal control solutions to MaxCut problems
- An RNN-policy gradient approach for quantum architecture search
- Adversarial Robustness Guarantees for Quantum Classifiers
- Quantum Chaos and Circuit Parameter Optimization
- The dilemma of quantum neural networks
- Hybrid Ground-State Quantum Algorithms based on Neural Schrödinger Forging
- Benchmarking Quantum Optimization for the Maximum-Cut Problem on a Superconducting Quantum Computer
- Variational quantum computing for quantum simulation: principles, implementations, and challenges
- Estimating Gibbs partition function with quantumClifford sampling
- Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits
- Adaptive shot allocation for fast convergence in variational quantum algorithms
- Convergence and Quantum Advantage of Trotterized MERA for Strongly-Correlated Systems
- Practicality of quantum adiabatic algorithm for chemistry applications
- Reduce&chop: Shallow circuits for deeper problems
- State preparation of lattice field theories using quantum optimal control
- Quantum kernel learning Model constructed with small data
- Double-bracket quantum algorithms for quantum imaginary-time evolution
- Exponential Qubit Reduction in Optimization for Financial Transaction Settlement
- Quantum algorithms for cooling: a simple case study
- On Optimizing Hyperparameters for Quantum Neural Networks
- Precision ground-state energy calculation for the water molecule on a superconducting quantum processor
- Local, Expressive, Quantum-Number-Preserving VQE Ansatze for Fermionic Systems
- Gradients and frequency profiles of quantum re-uploading models
- Quantum Kernel Machine Learning With Continuous Variables
- Analyzing the quantum approximate optimization algorithm: ansätze, symmetries, and Lie algebras
- Information flow in parameterized quantum circuits
- Near Term Algorithms for Linear Systems of Equations
- Parameter Setting Heuristics Make the Quantum Approximate Optimization Algorithm Suitable for the Early Fault-Tolerant Era
- Noise reduction using past causal cones in variational quantum algorithms
- The Inductive Bias of Quantum Kernels
- Benchmarking hybrid digitized-counterdiabatic quantum optimization
- Quantum computing for genomics: conceptual challenges and practical perspectives
- Quantum Dynamics Simulation of the Advection-Diffusion Equation
- Quantum neural compressive sensing for ghost imaging
- Quantum Natural Gradient optimizer on noisy platforms: QAOA as a case study
- Quantum Simulation of non-Abelian Lattice Gauge Theories: a variational approach to
- Simulating quantum circuits with arbitrary local noise using Pauli Propagation
- A Study on Quantum Graph Neural Networks Applied to Molecular Physics
- Adaptive variational quantum dynamics simulations with compressed circuits and fewer measurements
- Scalable circuit depth reduction in feedback-based quantum optimization with a quadratic approximation
- SHARC-VQE: Simplified Hamiltonian Approach with Refinement and Correction enabled Variational Quantum Eigensolver for Molecular Simulation
- Application of ZX-calculus to Quantum Architecture Search
- Characterizing randomness in parameterized quantum circuits through expressibility and average entanglement
- Bounds on the ground state energy of quantum -spin Hamiltonians
- Maximising Quantum-Computing Expressive Power through Randomised Circuits
- Variational measurement-based quantum computation for generative modeling
- Speedy Contraction of ZX Diagrams with Triangles via Stabiliser Decompositions
- Dissipative quantum many-body dynamics in (1+1)D quantum cellular automata and quantum neural networks
- Classical Ensembles of Single-Qubit Quantum Variational Circuits for Classification
- Sketching phase diagrams using low-depth variational quantum algorithms
- Quantum gradient evaluation through quantum non-demolition measurements
- Efficient and quantum-adaptive machine learning with fermion neural networks
- Time-Optimal Quantum Driving by Variational Circuit Learning
- Super-resolution of Green's functions on noisy quantum computers
- The Roles of Kerr nonlinearity in a Bosonic Quantum Neural Network
- Diagrammatic Analysis for Parameterized Quantum Circuits
- Information loss and run time from practical application of quantum data compression
- Optimisation-free Classification and Density Estimation with Quantum Circuits
- Toward Reliability in the NISQ Era: Robust Interval Guarantee for Quantum Measurements on Approximate States
- Optimization of the Variational Quantum Eigensolver for Quantum Chemistry Applications
- Fully-programmable universal quantum simulator with a one-dimensional quantum processor
- Roadmap for quantum simulation of the fractional quantum Hall effect
- Multidimensional quantum dynamics with explicitly correlated Gaussian wave packets using Rothe's method
- Quantum Circuit Design using a Progressive Widening Enhanced Monte Carlo Tree Search
- Machine-Learning Insights into the Entanglement-trainability Correlation of Parameterized Quantum Circuits
- Exploring Ground States of Fermi-Hubbard Model on Honeycomb Lattices with Counterdiabaticity
- Matrix product state ansatz for the variational quantum solution of the Heisenberg model on Kagome geometries
- Robust Quantum Reservoir Computing for Molecular Property Prediction
- Differentiable matrix product states for simulating variational quantum computational chemistry
- Accurate harmonic vibrational frequencies for diatomic molecules via quantum computing
- Using gradient-based algorithms to determine ground state energies on a quantum computer
- Scalability Challenges in Variational Quantum Optimization under Stochastic Noise
- Efficient quantum-enhanced classical simulation for patches of quantum landscapes
- Kernel-Function Based Quantum Algorithms for Finite Temperature Quantum Simulation
- Quantum techniques for eigenvalue problems
- Critical Limitations in Quantum-Selected Configuration Interaction Methods
- Universal Approximation Theorem and error bounds for quantum neural networks and quantum reservoirs
- Schrödinger as a Quantum Programmer: Estimating Entanglement via Steering
- Order quantum Wasserstein distances from couplings
- QSlack: A slack-variable approach for variational quantum semi-definite programming
- Classification and reconstruction for single-pixel imaging with classical and quantum neural networks
- Quantum Circuit Discovery for Fault-Tolerant Logical State Preparation with Reinforcement Learning
- Variational quantum eigensolver with embedded entanglement using a tensor-network ansatz
- All you need is spin: SU(2) equivariant variational quantum circuits based on spin networks
- Hermitian-preserving ansatz and variational open quantum eigensolver
- Predicting Expressibility of Parameterized Quantum Circuits using Graph Neural Network
- Molecular Properties from Quantum Krylov Subspace Diagonalization
- Quantum Kerr Learning
- Determining the N-representability of a reduced density matrix via unitary evolution and stochastic sampling
- Limitations of variational quantum algorithms: a quantum optimal transport approach
- Quantum computing quantum Monte Carlo algorithm
- Energy Landscape Plummeting in Variational Quantum Eigensolver: Subspace Optimization, Non-iterative Corrections and Generator-informed Initialization for Improved Quantum Efficiency
- Quantum Computing for Data Centric Engineering and Science
- Near-term quantum algorithm for computing molecular and materials properties based on recursive variational series methods
- Solving lattice gauge theories using the quantum Krylov algorithm and qubitization
- Trade-off between Gradient Measurement Efficiency and Expressivity in Deep Quantum Neural Networks
- Variational Optimization for Quantum Problems using Deep Generative Networks
- Implementing transferable annealing protocols for combinatorial optimisation on neutral atom quantum processors: a case study on smart-charging of electric vehicles
- Photonic variational quantum eigensolver using entanglement measurements
- Calculation of the moscovium ground-state energy by quantum algorithms
- Quantum Inception Score
- Differentiating and Integrating ZX Diagrams with Applications to Quantum Machine Learning
- Enhancing Variational Quantum Circuit Training: An Improved Neural Network Approach for Barren Plateau Mitigation
- Channel Attention for Quantum Convolutional Neural Networks
- Hamiltonian-based graph-state ansatz for variational quantum algorithms
- Multireference error mitigation for quantum computation of chemistry
- Emergent unitary designs for encoded qubits from coherent errors and syndrome measurements
- Non-parametric Semi-Supervised Learning in Many-body Hilbert Space with Rescaled Logarithmic Fidelity
- Imaginary Hamiltonian variational ansatz for combinatorial optimization problems
- Image Classification by Throwing Quantum Kitchen Sinks at Tensor Networks
- Supervised Learning Guarantee for Quantum AdaBoost
- Quantum Extremal Learning
- High-fidelity dimer excitations using quantum hardware
- Subspace-Based Local Compilation of Variational Quantum Circuits for Large-Scale Quantum Many-Body Simulation
- Efficient Quantum Cooling Algorithm for Fermionic Systems
- Quantum subspace expansion approach for simulating dynamical response functions of Kitaev spin liquids
- Modeling Linear Inequality Constraints in Quadratic Binary Optimization for Variational Quantum Eigensolver
- Quantum supremacy with analog quantum processors for material science and machine learning
- On the similarity of bandwidth-tuned quantum kernels and classical kernels
- Learning from physics experiments, with quantum computers: Applications in muon spectroscopy
- Single-shot quantum machine learning
- Sketching the Best Approximate Quantum Compiling Problem
- Quantum Neural Networks: Concepts, Applications, and Challenges
- Exploiting subspace constraints and ab initio variational methods for quantum chemistry
- Deep variational quantum eigensolver for excited states and its application to quantum chemistry calculation of periodic materials
- Variational Quantum Simulation of Valence-Bond Solids
- Information compression via hidden subgroup quantum autoencoders
- Backpropagation scaling in parameterised quantum circuits
- Adaptive measurement strategy for noisy quantum amplitude estimation with variational quantum circuits
- Single entanglement connection architecture between multi-layer bipartite Hardware Efficient Ansatz
- Deep Circuit Compression for Quantum Dynamics via Tensor Networks
- QFCNN: Quantum Fourier Convolutional Neural Network
- Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories
- Parallel-in-time quantum simulation via Page and Wootters quantum time
- Quantum Edge Detection
- Permutation-equivariant quantum convolutional neural networks
- Classical shadows meet quantum optimal mass transport
- From Heisenberg to Hubbard: An initial state for the shallow quantum simulation of correlated electrons
- Tensor-Programmable Quantum Circuits for Solving Differential Equations
- Estimating many properties of a quantum state via quantum reservoir processing
- Quantum Neural Networks in Practice: A Comparative Study with Classical Models from Standard Data Sets to Industrial Images
- qlbm -- A Quantum Lattice Boltzmann Software Framework
- Lean classical-quantum hybrid neural network model for image classification
- Learning Equivariant Maps with Variational Quantum Circuits
- Double-bracket algorithm for quantum signal processing without post-selection
- Quantum computation of a quasiparticle band structure with the quantum-selected configuration interaction
- Quantum Machine Learning of Molecular Energies with Hybrid Quantum-Neural Wavefunction
- Exploring nontrivial topology at quantum criticality in a superconducting processor
- Certified Random Number Generation using Quantum Computers
- Estimating Eigenenergies from Quantum Dynamics: A Unified Noise-Resilient Measurement-Driven Approach
- Random Projection using Random Quantum Circuits
- Parent Hamiltonian as a benchmark problem for variational quantum eigensolvers
- Learning to learn with an evolutionary strategy applied to variational quantum algorithms
- Software-Hardware Co-Optimization for Computational Chemistry on Superconducting Quantum Processors
- Hacking Cryptographic Protocols with Advanced Variational Quantum Attacks
- Leveraging commuting groups for an efficient variational Hamiltonian ansatz
- Dual-VQE: A quantum algorithm to lower bound the ground-state energy
- Reducing measurement costs by recycling the Hessian in adaptive variational quantum algorithms
- Trained quantum neural networks are Gaussian processes
- Learning Fourier series with parametrized quantum circuits
- Perturbative gadgets for gate-based quantum computing: Non-recursive constructions without subspace restrictions
- Data-Dependent Generalization Bounds for Parameterized Quantum Models Under Noise
- Towards solving the BCS Hamiltonian gap in Near-Term Quantum Computers
- Deep-Circuit QAOA
- Pitfalls when tackling the exponential concentration of parameterized quantum models
- Boson sampling enhanced quantum chemistry
- Universal compiling and (No-)Free-Lunch theorems for continuous variable quantum learning
- Architectures and random properties of symplectic quantum circuits
- Measurement-based quantum machine learning
- A Quantum Information Theoretic View On A Deep Quantum Neural Network
- Equilibrium Propagation: the Quantum and the Thermal Cases
- Optimized numerical gradient and Hessian estimation for variational quantum algorithms
- Probing many-body Bell correlation depth with superconducting qubits
- Variational Microcanonical Estimator
- Almost fault-tolerant quantum machine learning with drastic overhead reduction
- A Variational Quantum Algorithm For Approximating Convex Roofs
- A Monte Carlo Tree Search approach to QAOA: finding a needle in the haystack
- Exact spectral gaps of random one-dimensional quantum circuits
- Survey on Computational Applications of Tensor Network Simulations
- Non-linear classification capability of quantum neural networks due to emergent quantum metastability
- Variational LOCC-assisted quantum circuits for long-range entangled states
- VQE-generated quantum circuit dataset for machine learning
- Quantum circuits for partial differential equations in Fourier space
- Stabilizer configuration interaction: Finding molecular subspaces with error detection properties
- Normalized Gradient Descent for Variational Quantum Algorithms
- Hybrid Quantum Classical Graph Neural Networks for Particle Track Reconstruction
- The impacts of optimization algorithm and basis size on the accuracy and efficiency of variational quantum eigensolver
- Graph Neural Networks for Parameterized Quantum Circuits Expressibility Estimation
- Reinforcement learning to learn quantum states for Heisenberg scaling accuracy
- Heuristic Time Complexity of NISQ Shortest-Vector-Problem Solvers
- Accelerating Decision Diagram-based Multi-node Quantum Simulation with Ring Communication and Automatic SWAP Insertion
- Quantum Active Learning
- Information scrambling in quantum walks: Discrete-time formulation of Krylov complexity
- Quantum Approximation Optimization Algorithm for the Trellis based Viterbi Decoding of Classical Error Correcting Codes
- Crosstalk-Based Parameterized Quantum Circuit Approximation
- Exploring new variational quantum circuit ansatzes for solving matrix models
- Predicting Open-Hole Laminates Failure Using Support Vector Machines With Classical and Quantum Kernels
- The Lie Algebra of XY-mixer Topologies and Warm Starting QAOA for Constrained Optimization
- Entanglement-informed Construction of Variational Quantum Circuits
- Expressivity of deterministic quantum computation with one qubit
- Environment-Mediated Long-Ranged Correlations in Many-Body System
- Non-unitary Coupled Cluster Enabled by Mid-circuit Measurements on Quantum Computers
- Variational quantum algorithm based on Lagrange polynomial encoding to solve differential equations
- Fighting Exponentially Small Gaps by Counterdiabatic Driving
- Preparation Circuits for Matrix Product States by Classical Variational Disentanglement
- Evolved Quantum Boltzmann Machines
- Quantum Curriculum Learning
- Modified Conjugate Quantum Natural Gradient
- Variational quantum compiling for three-qubit gates design in quantum dots
- Quantum Simulation of Molecules without Fermionic Encoding of the Wave Function
- Quantitative convergence of trained quantum neural networks to a Gaussian process
- Ground state energy and magnetization curve of a frustrated magnetic system from real-time evolution on a digital quantum processor
- Revisiting semiconductor bulk hamiltonians using quantum computers
- Benchmarking the performance of a high-Q cavity qudit using random unitaries
- Quantum-annealing-inspired algorithms for multijet clustering
- Adaptive Circuit Learning of Born Machine: Towards Realization of Amplitude Embedding and Quantum Data Loading
- A Parameter-Efficient Quantum Anomaly Detection Method on a Superconducting Quantum Processor
- Scalable Quantum Computational Science: A Perspective from Block-Encodings and Polynomial Transformations
- The Accuracy vs. Sampling Overhead Trade-off in Quantum Error Mitigation Using Monte Carlo-Based Channel Inversion
- Tackling the Challenges of Adding Pulse-level Support to a Heterogeneous HPCQC Software Stack: MQSS Pulse
- Escaping Local Minima with Quantum Coherent Cooling
- "Proper" Shift Rules for Derivatives of Perturbed-Parametric Quantum Evolutions
- Expressibility, entangling power and quantum average causal effect for causally indefinite circuits
- An Efficient Gradient Sensitive Alternate Framework for VQE with Variable Ansatz
- Quantum Physics-Informed Neural Networks for Maxwell's Equations: Circuit Design, "Black Hole" Barren Plateaus Mitigation, and GPU Acceleration
- Quantum Generative Training Using Rényi Divergences
- A quantum tug of war between randomness and symmetries on homogeneous spaces
- Quantum Hopfield Model with Dilute Memories
- Optimal Particle-Conserved Linear Encoding for Practical Fermionic Simulation
- Barren plateaus are amplified by the dimension of qudits
- Tangent Space Excitation Ansatz for Quantum Circuits
- Adiabatic quantum computing with parameterized quantum circuits
- Policy Gradient Approach to Compilation of Variational Quantum Circuits
- Quantum-data-driven dynamical transition in quantum learning
- Unsupervised detection of decoupled subspaces: many-body scars and beyond
- Variational learning algorithms for quantum query complexity
- Quantum neural network autoencoder and classifier applied to an industrial case study
- An Empirical Study of Quantum Dynamics as a Ground State Problem with Neural Quantum States
- Mitigating Noise-Induced Gradient Vanishing in Variational Quantum Algorithm Training
- Orbital Expansion Variational Quantum Eigensolver: Enabling Efficient Simulation of Molecules with Shallow Quantum Circuit
- Hybrid quantum gap estimation algorithm using a filtered time series
- Mitigating the measurement overhead of ADAPT-VQE with optimised informationally complete generalised measurements
- Excited state calculations using variational quantum eigensolver with spin-restricted ansätze and automatically-adjusted constraints
- State preparation and evolution in quantum computing: a perspective from Hamiltonian moments
- Making the cut: two methods for breaking down a quantum algorithm
- Feasibility of performing quantum chemistry calculations on quantum computers
- Robustness of optimized numerical estimation schemes for noisy variational quantum algorithms
- On character table of Clifford groups
- Gibbs state sampling via cluster expansions
- Dynamical transition in controllable quantum neural networks with large depth
- Improving Parameter Training for VQEs by Sequential Hamiltonian Assembly
- Disentangling quantum neural networks for unified estimation of quantum entropies and distance measures
- Batched Line Search Strategy for Navigating through Barren Plateaus in Quantum Circuit Training
- HQNET: Harnessing Quantum Noise for Effective Training of Quantum Neural Networks in NISQ Era
- Quantum Machine Learning For Classical Data
- Performance analysis of a filtering variational quantum algorithm
- Exploiting many-body localization for scalable variational quantum simulation
- Benchmarking a heuristic Floquet adiabatic algorithm for the Max-Cut problem
- Fast-Forwarding with NISQ Processors without Feedback Loop
- Variational simulation of higher-spin systems on qubit-based quantum simulators
- Scaling of symmetry-restricted quantum circuits
- Encoding strongly-correlated many-boson wavefunctions on a photonic quantum computer: application to the attractive Bose-Hubbard model
- Warm Start of Variational Quantum Algorithms for Quadratic Unconstrained Binary Optimization Problems
- OnionVQE Optimization Strategy for Ground State Preparation on NISQ Devices
- ORQVIZ: Visualizing High-Dimensional Landscapes in Variational Quantum Algorithms
- On the Hardness of Measuring Magic
- Resource-efficient quantum algorithm for linear systems of equations
- Accelerating Quantum Eigensolver Algorithms With Machine Learning
- Estimates of loss function concentration in noisy parametrized quantum circuits
- Integrated Encoding and Quantization to Enhance Quanvolutional Neural Networks
- Learning the closest product state
- When Quantum and Classical Models Disagree: Learning Beyond Minimum Norm Least Square
- Efficient Estimation and Sequential Optimization of Cost Functions in Variational Quantum Algorithms
- Efficient Online Quantum Circuit Learning with No Upfront Training
- Quantum natural gradient with thermal-state initialization
- Laplacian Eigenmaps with variational circuits: a quantum embedding of graph data
- A general approach to quantum integration of cross sections in high-energy physics
- Hybrid Quantum-Classical Eigensolver Without Variation or Parametric Gates
- Efficient trainability of linear optical modules in quantum optical neural networks
- Probabilistic imaginary-time evolution in state-vector-based and shot-based simulations and on quantum devices
- Consensus-based qubit configuration optimization for variational algorithms on neutral atom quantum systems
- Approximate Quadratization of High-Order Hamiltonians for Combinatorial Quantum Optimization
- Variational-toolbox-based separability detection of multiqubit states
- Quantum sequel of neural network training
- Edge of Many-Body Quantum Chaos in Quantum Reservoir Computing
- Neural-network-assisted Monte Carlo sampling trained by Quantum Approximate Optimization Algorithm
- Variational quantum algorithms with invariant probabilistic error cancellation on noisy quantum processors
- A variational quantum algorithm for entanglement quantification
- Optimisation-Free Recursive QAOA for the Binary Paint Shop Problem
- Generative flow-based warm start of the variational quantum eigensolver
- Beyond asymptotic reasoning: the practicalities of a quantum ground state projector based on the wall-Chebyshev expansion
- The Dual Role of Low-Weight Pauli Propagation: A Flawed Simulator but a Powerful Initializer for Variational Quantum Algorithms
- Signatures of quantum chaos and complexity in the Ising model on random graphs
- Optimal quantum reservoir learning in proximity to universality
- Multi-objective optimization and quantum hybridization of equivariant deep learning interatomic potentials
- Shot-based quantum encoding: a data-loading paradigm for quantum neural networks
- Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity
- Hamiltonian-reconstruction distance as a success metric for the Variational Quantum Eigensolver
- Direct Gradient Computation for Barren Plateaus in Parameterized Quantum Circuits
- Variational Quantum Subspace Construction via Symmetry-Preserving Cost Functions
- Trainable Quantum Neural Network for Multiclass Image Classification with the Power of Pre-trained Tree Tensor Networks
- Applying Quantum Autoencoders for Time Series Anomaly Detection
- Variational Quantum Algorithm for Solving the Liouvillian Gap
- Quantum imaginary time evolution and UD-MIS problem
- Optimizing Unitary Coupled Cluster Wave Functions on Quantum Hardware: Error Bound and Resource-Efficient Optimizer
- Natural gradient and parameter estimation for quantum Boltzmann machines
- On Assessing the Quantum Advantage for MaxCut Provided by Quantum Neural Network Ansätze
- TabularQGAN: A quantum generative model for tabular data synthesis
- Ancillary entangling Floquet kicks for accelerating quantum algorithms
- A variational quantum eigensolver tailored to multi-band tight-binding simulations of electronic structures
- Many-Fermion Simulation from the Contracted Quantum Eigensolver without Fermionic Encoding of the Wave Function
- Trainability issues in quantum policy gradients
- Fully Quantum Lattice Gas Automata Building Blocks for Computational Basis State Encodings
- Evaluating Ground State Energies of Chemical Systems with Low-Depth Quantum Circuits and High Accuracy
- Double-bracket quantum algorithms for high-fidelity ground state preparation
- Learning Variational Quantum Circuit Parameters with Classical Artificial Intelligence for Quantum Phase Transition Detection
- Clustering and enhanced classification using a hybrid quantum autoencoder
- From barren plateaus through fertile valleys: Conic extensions of parameterised quantum circuits
- Multivariate unbounded quantum regression via log-ratio probabilities mitigating barren plateaus
- Improving the trainability of VQE on NISQ computers for solving portfolio optimization using convex interpolation
- Quantum Algorithms for State Preparation and Data Classification based on Stabilizer Codes
- Hybrid Quantum-Classical Clustering for Preparing a Prior Distribution of Eigenspectrum
- Optimizing Quantum Variational Circuits with Deep Reinforcement Learning
- Variational Quantum Algorithm Landscape Reconstruction by Low-Rank Tensor Completion
- Exploring Entanglement and Parameter Sensitivity in QAOA through Quantum Fisher Information
- A quantum eigenvalue solver based on tensor networks
- Gradient Scalability and Taylor Surrogation of Quantum Cost Landscapes
- Hamiltonian Expressibility for Ansatz Selection in Variational Quantum Algorithms
- Introducing Reduced-Width QNNs, an AI-inspired Ansatz Design Pattern
- Quantum circuit evolutionary framework applied on set partitioning problem
- Fast suppression of classification error in variational quantum circuits
- Data-driven Quantum Dynamical Embedding Method for Long-term Prediction on Near-term Quantum Computers
- Inference of maximum parsimony phylogenetic trees with model-based classical and quantum methods
- A loop Quantum Approximate Optimization Algorithm with Hamiltonian updating
- Superior resilience to poisoning and amenability to unlearning in quantum machine learning
- Decoded Quantum Interferometry Under Noise
- Adaptive Interpolating Quantum Transform: A Quantum-Native Framework for Efficient Transform Learning
- Quantum reservoir computing for predicting and characterizing chaotic maps
- Classical Neural Networks on Quantum Devices via Tensor Network Disentanglers: A Case Study in Image Classification
- A penalty-free quantum algorithm to find energy eigenstates
- Towards Compact Wavefunctions from Quantum-Selected Configuration Interaction
- Evidence for effectively constant shot complexity in the quantum approximate optimization algorithm without per-instance optimization
- Dynamic LOCC Circuits for Automated Entanglement Manipulation
- Slice-Wise Initial State Optimization to Improve Cost and Accuracy of the VQE on Lattice Models
- Quantum approximate optimization of finite-state bosonic systems
- Leveraging Analog Neutral Atom Quantum Computers for Diversified Pricing in Hybrid Column Generation Frameworks
- Quantum reservoir computing in Jaynes-Cummings models: Nonlinear memory and time-series prediction
- Quantum Algorithms for Unsupervised Machine Learning and Neural Networks
- Quantum feature-map learning with reduced resource overhead
- Adaptive time Compressed QITE (ACQ) and its geometrical interpretation
- Exploiting biased noise in variational quantum models
- Quantum Machine Learning with SQUID
- Transformer fault diagnosis using an efficient simulation-driven variational quantum classifier with domain-aware feature encoding
- Pseudo quantum advantages in perceptron storage capacity
- Performance Guarantees for Quantum Neural Estimation of Entropies
- Quantum algorithm for one-quasiparticle excitations in the thermodynamic limit via cluster-additive block diagonalization
- Moments of Quantum Channel Ensembles
- Towards Continuous-variable Quantum Neural Networks for Biomedical Imaging
- Exploring the performance of superposition of product states: from 1D to 3D quantum spin systems
- Noisy Monitored Quantum Circuits
- Quantum State Preparation with Resolution Refinement
- Feedback-Based Quantum Control for Safe and Synergistic Drug Combination Design
- Practical Quantum Reservoir Computing in Rydberg Atom Arrays
- Quantum Phase Recognition via Quantum Attention Mechanism
- Deterministic Ground State Preparation via Power-Cosine Filtering of Time Evolution Operators
- Quantum Computing Solution of the Bethe-Salpeter Equation for Relativistic Scalar Bound States via Tensor-Network VQE
- Active Sampling Sample-based Quantum Diagonalization from Finite-Shot Measurements
- Reflection-Based Adiabatic State Preparation
- QMC-Net: Data-Aware Quantum Representations for Remote Sensing Image Classification
- Medical Imaging Classification with Cold-Atom Reservoir Computing using Auto-Encoders and Surrogate-Driven Training
- Application of Deep Learning to Jet Charge Discrimination
- Velocity Verlet-based optimization for variational quantum eigensolvers
- Disentangling quantum autoencoder
- Variational decision diagrams for quantum-inspired machine learning applications
- Quantum generative classification with mixed states
- Resonant Coupling Parameter Estimation with Superconducting Qubits
- Optical Quantum Computing
- Expressive equivalence of classical and quantum restricted Boltzmann machines
- Quantum-Inspired Multi Agent Reinforcement Learning for Exploration Exploitation Optimization in UAV-Assisted 6G Network Deployment
- Efficient learning and optimizing non-Gaussian correlated noise in digitally controlled qubit systems
- Equivalence between exponential concentration in quantum machine learning kernels and barren plateaus in variational algorithms
- Schmidt quantum compressor
- Interpolation-based coordinate descent method for parameterized quantum circuits
- Pulse engineering via projection of response functions
- Performance evaluation of variational quantum eigensolver and quantum dynamics algorithms on the advection-diffusion equation
- Investigating layer-selective transfer learning of QAOA parameters for Max-Cut problem
- The informativeness of the gradient revisited
- Variational Quantum Generative Modeling by Sampling Expectation Values of Tunable Observables
- Direct entanglement ansatz learning (DEAL) with ZNE on error-prone superconducting qubits
- Learning complexity gradually in quantum machine learning models
- Hybrid quantum recurrent neural network for remaining useful life prediction of turbofan engines
- Detecting underdetermination in parameterized quantum circuits