Quantum algorithm for solving linear systems of equations

Abstract

Solving linear systems of equations is a common problem that arises both on its own and as a subroutine in more complex problems: given a matrix A and a vector b, find a vector x such that Ax=b. We consider the case where one doesn't need to know the solution x itself, but rather an approximation of the expectation value of some operator associated with x, e.g., x'Mx for some matrix M. In this case, when A is sparse, N by N and has condition number kappa, classical algorithms can find x and estimate x'Mx in O(N sqrt(kappa)) time. Here, we exhibit a quantum algorithm for this task that runs in poly(log N, kappa) time, an exponential improvement over the best classical algorithm.

15 pages. v2 is much longer, with errors fixed, run-time improved and a new BQP-completeness result added. v3 is the final published version and mostly adds clarifications and corrections to v2

References in corpus (14)

• A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
• Quantum Amplitude Amplification and Estimation
• Quantum Algorithms Revisited
• Quantum fingerprinting
• Quantum random access memory
• Efficient quantum algorithms for simulating sparse Hamiltonians
• On the relationship between continuous- and discrete-time quantum walk
• Creating superpositions that correspond to efficiently integrable probability distributions
• Optimal Quantum Clocks
• A Limit on the Speed of Quantum Computation in Determining Parity
• The BQP-hardness of approximating the Jones Polynomial
• A quantum algorithm to solve nonlinear differential equations
• Approximating Fractional Time Quantum Evolution
• Engineering Functional Quantum Algorithms

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• Quantum mean centering for block-encoding-based quantum algorithm
• Quantum circuit compilation and hybrid computation using Pauli-based computation
• On quantum algorithms for the Schrödinger equation in the semi-classical regime
• Fast, high precision dynamics in quantum optimal control theory
• Mitigating noise in digital and digital-analog quantum computation
• A Quantum Interior-Point Predictor-Corrector Algorithm for Linear Programming
• Large-scale quantum hybrid solution for linear systems of equations
• Quantum-classical algorithms for skewed linear systems with optimized Hadamard test
• Quantum diffusion map for nonlinear dimensionality reduction
• Introducing Non-Linear Activations into Quantum Generative Models
• Phase-Sensitive Quantum Measurement without Controlled Operations
• Blockchain Security Risk Assessment in Quantum Era, Migration Strategies and Proactive Defense
• A quantum algorithm for the direct estimation of the steady state of open quantum systems
• A hybrid classical-quantum algorithm for digital image processing
• Quantum kernels with squeezed-state encoding for machine learning
• Quantum-Inspired Classical Algorithms for Singular Value Transformation
• Fully quantum algorithm for lattice Boltzmann methods with application to partial differential equations
• Embedding Learning in Hybrid Quantum-Classical Neural Networks
• How to enhance quantum generative adversarial learning of noisy information
• Quantum Algorithm for Unsupervised Anomaly Detection
• Quantum Algorithms for String Processing
• Realization of a quantum neural network using repeat-until-success circuits in a superconducting quantum processor
• Noise-Resistant Quantum State Compression Readout
• Detecting Violations of Differential Privacy for Quantum Algorithms
• Single-Step Parity Check Gate Set for Quantum Error Correction
• Efficient explicit gate construction of block-encoding for Hamiltonians needed for simulating partial differential equations
• Variational Quantum Algorithms for Semidefinite Programming
• Global Heisenberg scaling in noisy and practical phase estimation
• Effects of Cosine Tapering Window on Quantum Phase Estimation
• Quantum Expectation-Maximization for Gaussian Mixture Models
• Discriminating Quantum States with Quantum Machine Learning
• A quantum algorithm for the linear Vlasov equation with collisions
• Harrow-Hassidim-Lloyd algorithm without ancilla postselection
• An Investigation on Support Vector Clustering for Big Data in Quantum Paradigm
• A quantum active learning algorithm for sampling against adversarial attacks
• Power-optimal, stabilized entangling gate between trapped-ion qubits
• Quantum computing through the lens of control: A tutorial introduction
• Demonstration of quantum permutation algorithm with a single photon ququart
• Fast Black-Box Quantum State Preparation Based on Linear Combination of Unitaries
• Variational Quanvolutional Neural Networks with enhanced image encoding
• Support Vector Machines on Noisy Intermediate Scale Quantum Computers
• An efficient quantum algorithm for spectral estimation
• Quantum Computing Solution of DC Power Flow
• Boundary Treatment for Variational Quantum Simulations of Partial Differential Equations on Quantum Computers
• Deterministic and Entanglement-Efficient Preparation of Amplitude-Encoded Quantum Registers
• Experimental demonstration of quantum learning speed-up with classical input data
• Correcting finite squeezing errors in continuous-variable cluster states
• Quantum Approximate Optimization Algorithm for Test Case Optimization
• A quantum annealing-sequential quadratic programming assisted finite element simulation for non-linear and history-dependent mechanical problems
• Generalized quantum microcanonical ensemble from random matrix product states
• Incoherent quantum algorithm dynamics of an open system with near-term devices
• A quantum circuit simulator and its applications on Sunway TaihuLight supercomputer
• Simple and high-precision Hamiltonian simulation by compensating Trotter error with linear combination of unitary operations
• Limitations for Quantum Algorithms to Solve Turbulent and Chaotic Systems
• Communication-efficient Quantum Algorithm for Distributed Machine Learning
• ERASER: Towards Adaptive Leakage Suppression for Fault-Tolerant Quantum Computing
• Opportunities and challenges of quantum computing for climate modelling
• Client-friendly continuous-variable blind and verifiable quantum computing
• Highly optimized quantum circuits synthesized via data-flow engines
• Explicit Quantum Circuit for Simulating the Advection-Diffusion-Reaction Dynamics
• Fast quantum algorithms for traversing paths of eigenstates
• Experimental Quantum Learning of a Spectral Decomposition
• Variational quantum eigensolver with linear depth problem-inspired ansatz for solving portfolio optimization in finance
• Near-Term Quantum-Classical Associative Adversarial Networks
• The battle of clean and dirty qubits in the era of partial error correction
• Quantum Gram-Schmidt Processes and Their Application to Efficient State Read-out for Quantum Algorithms
• Quantum Fourier Iterative Amplitude Estimation
• Quantum algorithms for SVD-based data representation and analysis
• A Quantum-inspired Algorithm for General Minimum Conical Hull Problems
• A Hybrid Classical Quantum Computing Approach to the Satellite Mission Planning Problem
• Implementation of quantum stochastic walks for function approximation, two-dimensional data classification, and sequence classification
• Compression Optimality of Asymmetric Numeral Systems
• Efficient quantum circuits for Toeplitz and Hankel matrices
• A Quantum Extension of Variational Bayes Inference
• Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling
• Quantum support vector data description for anomaly detection
• Quantum algorithms for matrix operations and linear systems of equations
• Obtaining A Linear Combination of the Principal Components of a Matrix on Quantum Computers
• Option pricing under stochastic volatility on a quantum computer
• Quantum algorithms for hedging and the learning of Ising models
• Direct implementation of a perceptron in superconducting circuit quantum hardware
• Quantum-accessible reinforcement learning beyond strictly epochal environments
• Efficient Quantum Circuits for Accurate State Preparation of Smooth, Differentiable Functions
• Implementing smooth functions of a Hermitian matrix on a quantum computer
• Entanglement-induced provable and robust quantum learning advantages
• Digital-analog co-design of the Harrow-Hassidim-Lloyd algorithm
• Memcomputing Numerical Inversion with Self-Organizing Logic Gates
• Asymptotically Optimal Circuit Depth for Quantum State Preparation and General Unitary Synthesis
• Analytical Error Analysis of Clifford Gates by the Fault-Path Tracer Method
• Probabilistic Eigensolver with a Trapped-Ion Quantum Processor
• Quantum Algorithm for Solving a Quadratic Nonlinear System of Equations
• Quantum DeepONet: Neural operators accelerated by quantum computing
• Partial structural restoring of two-qubit transferred state
• A novel approach for quantum financial simulation and quantum state preparation
• Quantum Semi-Supervised Kernel Learning
• Pauli Decomposition via the Fast Walsh-Hadamard Transform
• Parametric Probabilistic Quantum Memory
• Tsallis relative $\alpha$ entropy of coherence dynamics in Grover's search algorithm
• Variational secure cloud quantum computing
• Guided-SPSA: Simultaneous Perturbation Stochastic Approximation assisted by the Parameter Shift Rule
• Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters
• Quantum Expectation Transformers for Cost Analysis
• Variational quantum algorithm for generalized eigenvalue problems and its application to the finite element method
• Entangling remote microwave quantum computers with hybrid entanglement swap and variational distillation
• Controller-based Energy-Aware Wireless Sensor Network Routing using Quantum Algorithms
• Quantum-enhanced learning of rotations about an unknown direction
• Ising model formulation for highly accurate topological color codes decoding
• Unified multivariate trace estimation and quantum error mitigation
• Quantum Quantitative Trading: High-Frequency Statistical Arbitrage Algorithm
• Quantum and Quantum-Inspired Stereographic K Nearest-Neighbour Clustering
• A Case for Synthesis of Recursive Quantum Unitary Programs
• On proving the robustness of algorithms for early fault-tolerant quantum computers
• Calculation of the ground-state Stark effect in small molecules using the variational quantum eigensolver
• The quantum detection of projectors in finite-dimensional algebras and holography
• Why now is the right time to study quantum computing
• Quantum subspace alignment for domain adaptation
• Resource-efficient simulation of noisy quantum circuits and application to network-enabled QRAM optimization
• Parallel Quantum Algorithm for Hamiltonian Simulation
• An Improved Method for Quantum Matrix Multiplication
• Fast quantum simulation of electronic structure by spectrum amplification
• Hybrid adiabatic quantum computing for tomographic image reconstruction -- opportunities and limitations
• Two new results about quantum exact learning
• Dequantizing the Quantum Singular Value Transformation: Hardness and Applications to Quantum Chemistry and the Quantum PCP Conjecture
• Tight Bound for Estimating Expectation Values from a System of Linear Equations
• Black-Box Quantum State Preparation with Inverse Coefficients
• Quantum-walk search in motion
• Quantum Information Masking in Non-Hermitian Systems and Robustness
• A didactic approach to quantum machine learning with a single qubit
• Simulation of linear non-Hermitian boundary-value problems with quantum singular value transformation
• Elucidating Dicke Superradiance by quantum uncertainty
• Universal construction of decoders from encoding black boxes
• Statistical Limits of Supervised Quantum Learning
• Reachability Analysis of Quantum Markov Decision Processes
• Quantum Control Machine: The Limits of Control Flow in Quantum Programming
• Guided Quantum Compression for High Dimensional Data Classification
• Quantum vs. classical algorithms for solving the heat equation
• New Developments in Quantum Algorithms
• Quipper: Concrete Resource Estimation in Quantum Algorithms
• Quantifying fermionic nonlinearity of quantum circuits
• Coherence and entanglement in Grover and Harrow-Hassidim-Lloyd algorithm
• Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra via Schrodingerisation
• A quantum algorithm for simulating non-sparse Hamiltonians
• Quantum data encoding as a distinct abstraction layer in the design of quantum circuits
• Quantum Machine Learning using Gaussian Processes with Performant Quantum Kernels
• Quantum Carleman linearisation efficiency in nonlinear fluid dynamics
• Robust quantum classifier with minimal overhead
• Dual-Frequency Quantum Phase Estimation Mitigates the Spectral Leakage of Quantum Algorithms
• Universal quantum gates, artificial neurons and pattern recognition simulated by \textit{LC} resonators
• Variational Quantum Support Vector Machine based on $\Gamma$ matrix expansion and Variational Universal-Quantum-State Generator
• Quantum Generative Adversarial Networks in a Silicon Photonic Chip with Maximum Expressibility
• A full circuit-based quantum algorithm for excited-states in quantum chemistry
• Quantum reinforcement learning in the presence of thermal dissipation
• Characterization of quantum states based on creation complexity
• A quantum computing concept for 1-D elastic wave simulation with exponential speedup
• Hybrid quantum-classical unsupervised data clustering based on the self-organizing feature map
• Quantum continual learning of quantum data realizing knowledge backward transfer
• Quantum continual learning on a programmable superconducting processor
• Variational quantum computing for quantum simulation: principles, implementations, and challenges
• Introducing Quantum Information and Computation to a Broader Audience with MOOCs at OpenHPI
• An Iterative Method to Improve the Precision of Quantum Phase Estimation Algorithm
• A quantum algorithm for track reconstruction in the LHCb vertex detector
• Quantum Supervised Learning
• Stochastic optimal control formalism for an open quantum system
• Quantum Algorithms for Geologic Fracture Networks
• Design nearly optimal quantum algorithm for linear differential equations via Lindbladians
• Gaussian Rényi-2 correlations in a nondegenerate three-level laser
• Fast and Accurate Greenberger-Horne-Zeilinger Encoding Using All-to-all Interactions
• Quantum Algorithms for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems
• Accelerating Quantum Algorithms with Precomputation
• Quantum algorithms for group convolution, cross-correlation, and equivariant transformations
• QRAM: A Survey and Critique
• Formal Methods for Quantum Programs: A Survey
• Implementing perceptron models with qubits
• Quantum Ensemble for Classification
• Designing ground states of Hopfield networks for quantum state preparation
• Quantum Hypothesis Testing with Group Structure
• Constant-depth circuits for Boolean functions and quantum memory devices using multi-qubit gates
• Quantum Finite Volume Method for Computational Fluid Dynamics with Classical Input and Output
• Tensor-based quantum phase difference estimation for large-scale demonstration
• Quantum-inspired canonical correlation analysis for exponentially large dimensional data
• Enhancing the efficiency of quantum annealing via reinforcement: A path-integral Monte Carlo simulation of the quantum reinforcement algorithm
• Solving the Hele-Shaw flow using the Harrow-Hassidim-Lloyd algorithm on superconducting devices: A study of efficiency and challenges
• Quantum Splines for Non-Linear Approximations
• An HHL-Based Algorithm for Computing Hitting Probabilities of Quantum Random Walks
• Simulations of Future Particle Accelerators: Issues and Mitigations
• Quantum Algorithm For Estimating Eigenvalue
• Quantum Computing for Location Determination
• Quantum Power Flows: From Theory to Practice
• Parameter-Parallel Distributed Variational Quantum Algorithm
• Towards Variational Quantum Algorithms for generalized linear and nonlinear transport phenomena
• An invitation to the sample complexity of quantum hypothesis testing
• A multiple-circuit approach to quantum resource reduction with application to the quantum lattice Boltzmann method
• Demonstration of Algorithmic Quantum Speedup for an Abelian Hidden Subgroup Problem
• A generalization of Bernstein-Vazirani algorithm with multiple secret keys and a probabilistic oracle
• Quantum State Discrimination for Supervised Classification
• Solving Differential-Algebraic Equations in Power System Dynamic Analysis with Quantum Computing
• Quantum simulation of fermionic systems using hybrid digital-analog quantum computing approach
• Limitations of the Macaulay matrix approach for using the HHL algorithm to solve multivariate polynomial systems
• Quantum algorithms for matrix geometric means
• Verifying Quantum Phase Estimation (QPE) using Prove-It
• Observability of fidelity decay at the Lyapunov rate in few-qubit quantum simulations
• Near Term Algorithms for Linear Systems of Equations
• Quantum Approximate Optimization Algorithm for Maximum Likelihood Detection in Massive MIMO
• Solving Differential-Algebraic Equations in Power System Dynamic Analysis with Quantum Computing
• Hardware-Efficient Quantum Random Access Memory Design with a Native Gate Set on Superconducting Platforms
• Phase estimation algorithm for the multibeam optical metrology
• Efficient Experimental Verification of Quantum Gates with Local Operations
• Nonlinear transformation of complex amplitudes via quantum singular value transformation
• Coherence dynamics in quantum algorithm for linear systems of equations
• Quantum and classical query complexities of functions of matrices
• Linear Regression by Quantum Amplitude Estimation and its Extension to Convex Optimization
• Fundamental causal bounds of quantum random access memories
• A Quantum Search Decoder for Natural Language Processing
• A Comprehensive Cross-Model Framework for Benchmarking the Performance of Quantum Hamiltonian Simulations
• Quantum walk on a graph of spins: magnetism and entanglement
• Quantum Algorithm for Lexicographically Minimal String Rotation
• Quantum Machine Learning and its Supremacy in High Energy Physics
• QuanTest: Entanglement-Guided Testing of Quantum Neural Network Systems
• Can Noise on Qubits Be Learned in Quantum Neural Network? A Case Study on QuantumFlow
• Quantum computing for genomics: conceptual challenges and practical perspectives
• A Quantum Algorithm Framework for Discrete Probability Distributions with Applications to Rényi Entropy Estimation
• Quantum Algorithm for Smoothed Particle Hydrodynamics
• Gate-based quantum simulation of Gaussian bosonic circuits on exponentially many modes
• Exploring postselection-induced quantum phenomena with time-bidirectional state formalism
• Coherence Fraction in Grover Search Algorithm
• Quantum algorithm for logistic regression
• Classifying quantum data by dissipation
• Quantum secure learning with classical samples
• Hybrid algorithms to solve linear systems of equations with limited qubit resources
• Quantum Algorithm for the Advection-Diffusion Equation by Direct Block Encoding of the Time-Marching Operator
• Complementary polynomials in quantum signal processing
• From linear combination of quantum states to Grover's searching algorithm
• Quantum Newton's method for solving system of nonlinear algebraic equations
• Quantum Computing Applications for Flight Trajectory Optimization
• Optimization of probabilistic quantum search algorithm with a priori information
• Assisted quantum simulation of open quantum systems
• Probabilistic state synthesis based on optimal convex approximation
• An Early Investigation of the HHL Quantum Linear Solver for Scientific Applications
• Discrete-Time Open Quantum Walks for Vertex Ranking in Graphs
• Quantum homotopy analysis method with quantum-compatible linearization for nonlinear partial differential equations
• Quantum smoothed particle hydrodynamics algorithm inspired by quantum walks
• A variational quantum algorithm for tackling multi-dimensional Poisson equations with inhomogeneous boundary conditions
• Quantum computing for simulation of fluid dynamics
• Quantum random access memory with transmon-controlled phonon routing
• The Hintons in your Neural Network: a Quantum Field Theory View of Deep Learning
• Statistical Analysis on Random Quantum Sampling by Sycamore and Zuchongzhi Quantum Processors
• A Quantum Implementation Model for Artificial Neural Networks
• Probing the limits of variational quantum algorithms for nonlinear ground states on real quantum hardware: The effects of noise
• The Inductive Bias of Quantum Kernels
• Sparse Reconstruction for Radar Imaging based on Quantum Algorithms
• Decomposition Pipeline for Large-Scale Portfolio Optimization with Applications to Near-Term Quantum Computing
• Partial Boolean functions with exact quantum 1-query complexity
• Quantum topology optimization of ground structures using noisy intermediate-scale quantum devices
• Scalable quantum measurement error mitigation via conditional independence and transfer learning
• Quantum algorithms for powering stable Hermitian matrices
• The discrete adiabatic quantum linear system solver has lower constant factors than the randomized adiabatic solver
• Quantum Algorithm for Estimating Betti Numbers Using Cohomology Approach
• The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts
• Randomized semi-quantum matrix processing
• Topologically protected Grover's oracle for the partition problem
• Enabling Non-Linear Quantum Operations through Variational Quantum Splines
• Quantum Algorithms for the Pathwise Lasso
• QSlack: A slack-variable approach for variational quantum semi-definite programming
• Inverted-circuit zero-noise extrapolation for quantum gate error mitigation
• Improved resource-tunable near-term quantum algorithms for transition probabilities, with applications in physics and variational quantum linear algebra
• Automatic Test Pattern Generation for Robust Quantum Circuit Testing
• QuTracer: Mitigating Quantum Gate and Measurement Errors by Tracing Subsets of Qubits
• Leveraging Zero-Level Distillation to Generate High-Fidelity Magic States
• Non-Randomness of Google's Quantum Supremacy Benchmark
• Quantum Semi-Supervised Learning with Quantum Supremacy
• On multivariate polynomials achievable with quantum signal processing
• Identifying Bottlenecks of NISQ-friendly HHL algorithms
• Minimizing resource overhead in fusion-based quantum computation using hybrid spin-photon devices
• Implementation of Quantum Fourier Transform and Quantum Hashing for a Quantum Device with Arbitrary Qubits Connection Graphs
• Quantum Circuit Design using a Progressive Widening Enhanced Monte Carlo Tree Search
• An example of use of Variational Methods in Quantum Machine Learning
• Universal algorithms for quantum data learning
• Quantum Computing for Data Centric Engineering and Science
• Experimentally detecting a quantum change point via Bayesian inference
• Pricing multi-asset derivatives by finite difference method on a quantum computer
• SpinQ Gemini: a desktop quantum computer for education and research
• Synthesizing quantum circuits via numerical optimization
• Review of Quantum Algorithms for Systems of Linear Equations
• Efficient Quantum Algorithms for Analyzing Large Sparse Electrical Networks
• A Quantum Algorithm for Dynamic Mode Decomposition Integrated with a Quantum Differential Equation Solver
• The 7 faces of quantum NP
• Quantum Divide-and-Conquer Anchoring for Separable Non-negative Matrix Factorization
• Using quantum computers in control: interval matrix properties
• Hamiltonian Learning via Shadow Tomography of Pseudo-Choi States
• Quantum-Inspired Algorithms from Randomized Numerical Linear Algebra
• Bayesian Quantum Circuit
• Learning Simon's quantum algorithm
• Dictionary-based Block Encoding of Sparse Matrices with Low Subnormalization and Circuit Depth
• Fixed-point quantum continuous search algorithm with optimal query complexity
• Quadratic Quantum Speedup for Perceptron Training
• Automating Equational Proofs in Dirac Notation
• The State Preparation of Multivariate Normal Distributions using Tree Tensor Network
• Quantum algorithms for spectral sums
• Contextual Quantum Neural Networks for Stock Price Prediction
• State preparation based on quantum phase estimation
• Comment on "Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle"
• Anonymous estimation of intensity distribution of magnetic fields with quantum sensing network
• LSQCA: Resource-Efficient Load/Store Architecture for Limited-Scale Fault-Tolerant Quantum Computing
• Supercomputer simulations of transmon quantum computers
• Quantum-enhanced algorithms for classical target detection in complex environments
• Resource optimization for fault-tolerant quantum computing
• Theoretical proposal for the experimental realization of realignment operation
• An Algebraic Method to Fidelity-based Model Checking over Quantum Markov Chains
• Selective Noise Resistant Gate
• Quantum locally linear embedding for nonlinear dimensionality reduction
• Cascaded variational quantum eigensolver algorithm
• A comparison of three ways to measure time-dependent densities with quantum simulators
• Quantum algorithms for calculating determinant and inverse of matrix and solving linear algebraic systems
• Quantum error mitigation for rotation symmetric bosonic codes with symmetry expansion
• Accelerating the training of single-layer binary neural networks using the HHL quantum algorithm
• Quantum Annealing based Power Grid Partitioning for Parallel Simulation
• A quantum random access memory (QRAM) using a polynomial encoding of binary strings
• Inverse iteration quantum eigensolvers assisted with a continuous variable
• A Partially Random Trotter Algorithm for Quantum Hamiltonian Simulations
• Quantum Bayesian Neural Networks
• Trainable Discrete Feature Embeddings for Variational Quantum Classifier
• The Role of Quantum Computing in Advancing Scientific High-Performance Computing: A perspective from the ADAC Institute
• Encoding of linear kinetic plasma problems in quantum circuits via data compression
• A Generalized Circuit for the Hamiltonian Dynamics Through the Truncated Series
• On the similarity of bandwidth-tuned quantum kernels and classical kernels
• Quantum neural networks with multi-qubit potentials
• Tangible reduction in learning sample complexity with large classical samples and small quantum system
• Quantum channel decomposition with pre- and post-selection
• Efficient Gaussian State Preparation in Quantum Circuits
• Row-Column duality and combinatorial topological strings
• Quantum algorithms for linear and non-linear fractional reaction-diffusion equations
• Tensor-Programmable Quantum Circuits for Solving Differential Equations
• Quantum Logspace Algorithm for Powering Matrices with Bounded Norm
• Hybrid Quantum-Classical Algorithm For Robust Optimization via Stochastic-Gradient Online Learning
• Quantum-Logic Synthesis of Hermitian Gates
• Decomposition of Nonlinear Collision Operator in Quantum Lattice Boltzmann Algorithm
• Quantum Algorithm for Radiative Transfer Equation
• Quantum Algorithm for Optimization and Polynomial System Solving over Finite Field and Application to Cryptanalysis
• Fidelity-based supervised and unsupervised learning for binary classification of quantum states
• $Q|SI⟩$: A Quantum Programming Environment
• State-independent robust heat-bath algorithmic cooling of nuclear spins
• A Rubik's Cube inspired approach to Clifford synthesis
• QFT based quantum arithmetic logic unit on IBM quantum computer
• Stable many-body resonances in open quantum systems
• Quantum classification
• Correspondence between open bosonic systems and stochastic differential equations
• A Hybrid Quantum Algorithm for Load Flow
• Quantum compiling with a variational instruction set for accurate and fast quantum computing
• Quantum Feasibility Labeling for NP-complete Vertex Coloring Problem
• Constructing Local Bases for a Deep Variational Quantum Eigensolver for Molecular Systems
• Preparing Many Copies of a Quantum State in the Black-Box Model
• Limitations of Noisy Quantum Devices in Computational and Entangling Power
• Learning to learn with an evolutionary strategy applied to variational quantum algorithms
• Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics
• Some Error Analysis for the Quantum Phase Estimation Algorithms
• Approximation, Proof Systems, and Correlations in a Quantum World
• Strong nonlocal sets of UPB
• Adaptive Random Quantum Eigensolver
• Quantum Technology for Military Applications
• Simplifying a classical-quantum algorithm interpolation with quantum singular value transformations
• Input Redundancy for Parameterized Quantum Circuits
• Faster Coherent Quantum Algorithms for Phase, Energy, and Amplitude Estimation
• Polynomial T-depth Quantum Solvability of Noisy Binary Linear Problem: From Quantum-Sample Preparation to Main Computation
• Use of Quantum Sampling to Calculate Mean Values of Observables and Partition Function of a Quantum System
• Multidimensional Quantum Generative Modeling by Quantum Hartley Transform
• Efficient Algorithms for Universal Quantum Simulation
• A quantum algorithm for solving systems of nonlinear algebraic equations
• Study of using Quantum Computer to Solve Poisson Equation in Gate Insulators
• Coherence and entanglement dynamics in Shor's algorithm
• Time-Efficient Quantum Entropy Estimator via Samplizer
• Quantum resources in Harrow-Hassidim-Lloyd algorithm
• Quantum eigenvalue processing
• Topological obstructions to quantum computation with unitary oracles
• Hybrid classical-quantum image processing via polar Walsh basis functions
• Quantum Computing's Classical Problem, Classical Computing's Quantum Problem
• Alternatives to a nonhomogeneous partial differential equation quantum algorithm
• Towards Efficient Superconducting Quantum Processor Architecture Design
• Experimental semi-autonomous eigensolver using reinforcement learning
• Limitations of Clustering Using Quantum Persistent Homology
• Early Exploration of a Flexible Framework for Efficient Quantum Linear Solvers in Power Systems
• Quantum Machine Learning Algorithm for Knowledge Graphs
• qlbm -- A Quantum Lattice Boltzmann Software Framework
• Double-bracket algorithm for quantum signal processing without post-selection
• Improved quantum algorithm for calculating eigenvalues of differential operators and its application to estimating the decay rate of the perturbation distribution tail in stochastic inflation
• Scalable quantum computation architecture using always-on Ising interactions via quantum feedforward
• Efficiently verifiable quantum advantage on near-term analog quantum simulators
• Benchmarking Quantum Convolutional Neural Networks for Signal Classification in Simulated Gamma-Ray Burst Detection
• Quantum Legendre-Fenchel Transform
• Channel-based framework for phase esimation of multiple eigenvalues
• Quantum $k$-nearest neighbors algorithm
• Quantum circuit-like learning: A fast and scalable classical machine-learning algorithm with similar performance to quantum circuit learning
• Provable quantum speedups for computing persistence in topological data analysis
• Quantum Computational Insurance and Actuarial Science
• Implementation of a quantum addressable router using superconducting qubits
• A Quantum-Inspired Algorithm for Wave Simulation Using Tensor Networks
• A Hybrid Quantum-Classical Particle-in-Cell Method for Plasma Simulations
• Quantum-secure multiparty deep learning
• Towards Improved Quantum Machine Learning for Molecular Force Fields
• On solving classes of positive-definite quantum linear systems with quadratically improved runtime in the condition number
• An Efficient Decomposition of the Carleman Linearized Burgers' Equation
• Coherence as a resource for phase estimation
• i-QLS: Quantum-supported Algorithm for Least Squares Optimization in Non-Linear Regression
• Low Depth Phase Oracle Using a Parallel Piecewise Circuit
• Quantum Calculation for Two-Stream Instability and Advection Test of Vlasov-Maxwell Equations: Numerical Evaluation of Hamiltonian Simulation
• Resource-Efficient Hadamard Test Tailored Variational Framework for Nonlinear Dynamics on Quantum Computers
• Quantum Higher Order Singular Value Decomposition
• Toolchain for Faster Iterations in Quantum Software Development
• Quantum Curriculum Learning
• Convergence Rates for the Trotter Splitting for Unbounded Operators
• Variational quantum algorithm based on Lagrange polynomial encoding to solve differential equations
• Quantum and classical algorithms for nonlinear unitary dynamics
• Integrating Quantum Algorithms Into Classical Frameworks: A Predictor-corrector Approach Using HHL
• Optimal Qubit Mapping Search for Encoding Classical Data into Matrix Product State Representation with Minimal Loss
• Quantum Alphatron: quantum advantage for learning with kernels and noise
• On Solving Linear Systems in Sublinear Time
• A quantum algorithm for linear autonomous differential equations via Padé approximation
• Quantum Software Ecosystem Design
• Tight Quantum Depth Lower Bound for Solving Systems of Linear Equations
• Efficient Sparse State Preparation via Quantum Walks
• Quantum circuits for floating-point arithmetic
• A Cutting-plane Method for Semidefinite Programming with Potential Applications on Noisy Quantum Devices
• A quantum-inspired algorithm for approximating statistical leverage scores
• From basic science to technological development: the case for two avenues
• Quantum Anomaly Detection with a Spin Processor in Diamond
• Comprehensive Library of Variational LSE Solvers
• Batched quantum state exponentiation and quantum Hebbian learning
• Quantum Lower Bounds by Sample-to-Query Lifting
• Standing Wave Decomposition Gaussian Process
• Des-q: a quantum algorithm to provably speedup retraining of decision trees
• Quadratic speed-ups in quantum kernelized binary classification
• Quantum homotopy perturbation method for nonlinear dissipative ordinary differential equations
• Transport and Localization in Quantum Walks on a Random Hierarchy of Barriers
• Optimal Coherent Quantum Phase Estimation via Tapering
• Quantum Realization of the Finite Element Method
• An Efficient Gradient Sensitive Alternate Framework for VQE with Variable Ansatz
• Quantum computation of nonlinear maps
• Quantum Approximation of Normalized Schatten Norms and Applications to Learning
• Constant-time Quantum Algorithm for Homology Detection in Closed Curves
• Enhanced Hong-Ou-Mandel Manifolds and figures of merit for linear chains of identical micro-ring resonators
• Quantum-Inspired Classical Algorithm for Slow Feature Analysis
• Expanding Hardware-Efficiently Manipulable Hilbert Space via Hamiltonian Embedding
• Topological Signal Processing on Quantum Computers for Higher-Order Network Analysis
• Matrix logistic map: fractal spectral distributions and transfer of chaos
• A Gentle Introduction to Quantum Computing Algorithms with Applications to Universal Prediction
• Experimentally undoing an unknown single-qubit unitary
• Entanglement Properties of Quantum Superpositions of Smooth, Differentiable Functions
• Adaptive measurement strategy for quantum subspace methods
• Adaptive Circuit Learning of Born Machine: Towards Realization of Amplitude Embedding and Quantum Data Loading
• Practical limitations of quantum data propagation on noisy quantum processors
• Existence and Uniqueness of Solutions of the Koopman--von Neumann Equation on Bounded Domains
• Bayesian machine learning for Boltzmann machine in quantum-enhanced feature spaces
• Quantum Conditional Random Field
• Approximative lookup-tables and arbitrary function rotations for facilitating NISQ-implementations of the HHL and beyond
• Entanglement of weighted graphs uncovers transitions in variable-range interacting models
• Variational quantum compiling for three-qubit gates design in quantum dots
• Pure State Tomography with Fourier Transformation
• Exchange-Symmetrized Qudit Bell Bases and Bell-State Distinguishability
• Solving coupled Non-linear Schrödinger Equations via Quantum Imaginary Time Evolution
• Quantum approximated cloning-assisted density matrix exponentiation
• Implications of Quantum Computing for Artificial Intelligence alignment research
• Laplacian Eigenmaps with variational circuits: a quantum embedding of graph data
• Reductive Quantum Phase Estimation
• Quantum Algorithm for Online Convex Optimization
• Range dependent Hamiltonian Algorithm for numerical QUBO formulation
• Utilizing Quantum Processor for the Analysis of Strongly Correlated Materials
• Multi-player conflict avoidance through entangled quantum walks
• Quantum algorithm for PageRank computation through multistep quantum resonant transitions
• The quantum condition space
• Notes on Quantum Computing for Thermal Science
• Optimizing Quantum Models of Classical Channels: The reverse Holevo problem
• TrackHHL: A Quantum Computing Algorithm for Track Reconstruction at the LHCb
• Blockwise Optimization for Projective Variational Quantum Dynamics (BLOP-VQD): Algorithm and Implementation for Lattice Systems
• Quantum Amplitude Arithmetic
• Warm-Start Variational Quantum Policy Iteration
• Guided Graph Compression for Quantum Graph Neural Networks
• Neural-network-assisted Monte Carlo sampling trained by Quantum Approximate Optimization Algorithm
• Quantum algorithm for solving generalized eigenvalue problems with application to the Schrödinger equation
• Revisiting dequantization and quantum advantage in learning tasks
• Quantum Regularized Least Squares Solver with Parameter Estimate
• An Entanglement Monotone from the Contextual Fraction
• Scaling Hybrid Quantum-HPC Applications with the Quantum Framework
• Missing Puzzle Pieces in the Performance Landscape of the Quantum Approximate Optimization Algorithm
• Quantum linear system algorithm with optimal queries to initial state preparation
• Using Quantum Computers to Learn Physics
• Quantum Advantage in Storage and Retrieval of Isometry Channels
• The quantum version of the shifted power method and its application in quadratic binary optimization
• Quantum transfer component analysis for domain adaptation
• High-Entanglement Capabilities for Variational Quantum Algorithms: The Poisson Equation Case
• Lower bounds for quantum-inspired classical algorithms via communication complexity
• Finding eigenvectors with a quantum variational algorithm
• When Quantum and Classical Models Disagree: Learning Beyond Minimum Norm Least Square
• Quantum Computing @ MIT: The Past, Present, and Future of the Second Revolution in Computing
• Sublinear Classical-to-Quantum Data Encoding using $n$-Toffoli Gates
• Optimizing Quantum Chemistry Simulations with a Hybrid Quantization Scheme
• Resource-efficient quantum algorithm for linear systems of equations
• Optimal algorithms for linear algebra by quantum inspiration
• Efficient Estimation and Sequential Optimization of Cost Functions in Variational Quantum Algorithms
• The Holy Grail of Quantum Artificial Intelligence: Major Challenges in Accelerating the Machine Learning Pipeline
• Quantum Machine Learning For Classical Data
• Quantum Arnoldi and conjugate gradient iteration algorithm
• Quantum neural network autoencoder and classifier applied to an industrial case study
• Refined Criteria for QRAM Error Suppression via Efficient Large-Scale QRAM Simulator
• End-to-End Quantum Algorithm for Topology Optimization in Structural Mechanics
• Sample-size-reduction of quantum states for the noisy linear problem
• Spin-Boson Model to Demonstrate Quantum Tunneling in Biomolecules using IBM Quantum Computer
• Towards a Pattern Language for Quantum Algorithms
• Decoding Quantum Search Advantage: The Critical Role of State Properties in Random Walks
• Quantum algorithm for unstructured search of ranked targets
• Classification using a two-qubit quantum chip
• Towards Practical Quantum Phase Estimation: A Modular, Scalable, and Adaptive Approach
• A variational quantum algorithm for entanglement quantification
• Quantum Encoding of Structured Data with Matrix Product States
• Noise robustness of a multiparty quantum summation protocol
• Power of photonic states: from quantum computation to cosmology
• Quantum Algorithms for Causal Estimands
• Spectral quantum algorithm for passive scalar transport in shear flows
• Quantum state preparation with multiplicative amplitude transduction
• Monte Carlo Quantum Computing
• Preconditioned Block Encodings for Quantum Linear Systems
• Offloading Quantum Computation by Superposition Masking
• Quantum Fourier Transform in Oscillating Modes
• PHOENIX: Pauli-Based High-Level Optimization Engine for Instruction Execution on NISQ Devices
• Correcting for Potential Barriers in Quantum Walk Search
• Optimisation of Quantum Hamiltonian Evolution: From Two Projection Operators to Local Hamiltonians
• Quantum Algorithm for a Convergent Series of Approximations towards the Exact Solution of the Lowest Eigenstates of a Hamiltonian
• Quantum Simulation-Based Optimization for Cooling System Design
• Quantum generative classification with mixed states
• Optical Quantum Computing
• Randomized adiabatic quantum linear solver algorithm with optimal complexity scaling and detailed running costs
• Quantum Minimal Learning Machine: A Fidelity-Based Approach to Error Mitigation
• Reduction of unitary operators, quantum graphs and quantum channels
• The Rise of Quantum Computing -- Take a BITE for Built Environment and Urban Microclimate Research
• Diagonal-Budgeted Trotterization for Efficient Quantum Hamiltonian Simulation
• Introducing Reduced-Width QNNs, an AI-inspired Ansatz Design Pattern
• Quantum Data Structure for Range Minimum Query
• Solving Markov Chains with Analog Quantum Computing: The Fine Print
• Quantum Computation
• Note on (active-)QRAM-style data access as a quantum circuit
• Bayesian inference of general noise-model parameters from the syndrome statistics of surface codes
• Computation of operator exponentials using the Dunford-Cauchy integral
• Krein space quantization and New Quantum Algorithms
• POPQC: Parallel Optimization for Quantum Circuits (Extended Version)
• Quantum Money from Quaternion Algebras
• Hybrid Path-Sums for Hybrid Quantum Programs
• QAFE${}^2$: Quantum accelerated multiscale finite element analysis
• Review of Superconducting Qubit Devices and Their Large-Scale Integration
• On Quantum Perceptron Learning via Quantum Search
• Quantum interpretations, causality and quantum computation
• Resource Estimation for VQE on Small Molecules: Impact of Fermion Mappings and Hamiltonian Reductions
• Distributed Exact Generalized Grover's Algorithm
• Nonlinear path-following via the asymptotic numerical method on a quantum processor
• Gate Efficient Composition of Hamiltonian Simulation and Block-Encoding with its Application on HUBO, Chemistry and Finite Difference Method
• Quantum multi-row iteration algorithm for linear systems with non-square coefficient matrices
• Probabilistic imaginary-time evolution by using forward and backward real-time evolution with a single ancilla: first-quantized eigensolver of quantum chemistry for ground states
• Quantum HodgeRank: Topology-Based Rank Aggregation on Quantum Computers
• Quantum amplitude damping for solving homogeneous linear differential equations: A noninterferometric algorithm
• Digital quantum simulation of strong correlation effects with iterative quantum phase estimation over the variational quantum eigensolver algorithm: ${\mathrm{H}}_4$ on a circle as a case study
• Quantum Heaviside Eigen Solver
• Information-Theoretic Limits of Quantum Learning via Data Compression
• Quantum Algorithm for Matrix Logarithm by Integral Formula
• Orthogonal frequency-division multiplexing for simultaneous gate operations on multiple qubits via a shared control line
• Numerical investigation of the quantum inverse algorithm on small molecules
• Distribution of Interference in the Presence of Decoherence
• Quantum relaxed row and column iteration methods based on block-encoding
• Quantum Algorithm For Solving Nonlinear Algebraic Equations
• A quantum search method for quadratic and multidimensional knapsack problems
• Structural encoding with classical codes for computational-basis bit-flip correction in the early fault-tolerant regime
• Building intuition for Quantum Algorithms using the Aharonov-Bohm effect
• Quantum Algorithm to Cubic Spline Interpolation
• The Efficiency Frontier: Classical Shadows versus Direct Quantum Measurement
• Error and Resource Estimates of Variational Quantum Algorithms for Solving Differential Equations Based on Runge-Kutta Methods
• Toward Density Functional Theory on Quantum Computers?
• Classical Neural Networks on Quantum Devices via Tensor Network Disentanglers: A Case Study in Image Classification
• Teleportation-based quantum homomorphic encryption scheme with quasi-compactness and perfect security
• Block Encoding of Sparse Matrices via Coherent Permutation
• Model Checking Quantum Continuous-Time Markov Chains
• Quantum community detection via deterministic elimination
• An Optimum Algorithm for Quantum Search
• Hybrid Quantum-Classical Clustering for Preparing a Prior Distribution of Eigenspectrum
• Block encoding the 3D heterogeneous Poisson equation with application to fracture flow
• Probabilistic quantum algorithm for Lyapunov equations and matrix inversion
• Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions
• Quantum Algorithms for Prediction Based on Ridge Regression
• Solving the Nonlinear Vlasov Equation on a Quantum Computer
• Towards a NISQ Algorithm to Simulate Hermitian Matrix Exponentiation
• Qrisp Implementation and Resource Analysis of a T-Count-Optimised Non-Restoring Quantum Square-Root Circuit
• Benchmarking quantum devices beyond classical capabilities
• Two Variations of Quantum Phase Estimation for Reducing Circuit Error Rates: Application to the Harrow--Hassidim--Lloyd Algorithm
• Fast algorithm for quantum polar decomposition, pretty-good measurements, and the Procrustes problem
• Quantum Computation
• Unitarization Through Approximate Basis
• Detailed Account of Complexity for Implementation of Some Gate-Based Quantum Algorithms
• Quantum Radon Transform and Its Application
• Benchmarking fault-tolerant quantum computing hardware via QLOPS
• A Quantum Convolutional Neural Network for Image Classification
• Error Interference in Quantum Simulation
• Improving quantum linear system solvers via a gradient descent perspective
• Quantum query complexity with matrix-vector products
• Fundamental Machine Learning Routines as Quantum Algorithms on a Superconducting Quantum Computer
• Quantum Algorithms for Unsupervised Machine Learning and Neural Networks
• Quantum speedup to some types of polynomial equations
• Quantum Advantage via Efficient Post-processing on Qudit Classical Shadow tomography
• Simple Diagonal State Designs with Reconfigurable Real-Time Circuits
• Vortex Detection from Quantum Data
• Quantum-Classical Computing for Time-Dependent Ion-Atom Collision Dynamics: Applications to Charge Transfer Cross Section Simulations
• Generalization of Quantum Fourier Transformation
• Nonunitary gates using measurements only
• Multi-Armed Bandits and Quantum Channel Oracles
• An adversary bound for quantum signal processing
• Quantum Algorithms in Cybernetics
• Fully Quantum Lattice Gas Automata Building Blocks for Computational Basis State Encodings
• Quantum-Stable Robust Principal Component Analysis: Theory and Evidence from NISQ Regimes
• A New Method for Geometric Interpretation of Elliptic Curve Discrete Logarithm Problem