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Quantum Algorithms

Coverage of quantum algorithms, from Shor and Grover to variational methods and error mitigation on today’s noisy hardware. Our illustrated guide to quantum circuits walks through forty essential patterns with runnable code.

  • Close-up of an iridescent silicon wafer
    Quantum Algorithms, Quantum Simulation

    Xanadu’s quantum algorithms tackle a key chip-making problem

    by Dr. DonovanAugust 25, 2026
  • Researchers Solve Burgers Equation Using Quantum Permutations
    Quantum Algorithms

    Researchers Solve Burgers Equation Using Quantum Permutations

    by Physics NewsAugust 25, 2026
  • Researchers Cut Molecular Energy Errors to 0.593 Kilocalories Per Mole
    Quantum Algorithms

    Researchers Cut Molecular Energy Errors to 0.593 Kilocalories Per Mole

    by Quantum Computing NewsAugust 25, 2026
  • Ibaraki University Team Nears Bogomolny Limit Via Quantum Flow
    Quantum Algorithms

    Ibaraki University Team Nears Bogomolny Limit Via Quantum Flow

    by Quantum Computing NewsAugust 25, 2026
  • Researchers Cut Logical Errors by up to 40 Per Cent
    Quantum Algorithms

    Researchers Cut Logical Errors by up to 40 Per Cent

    by Muhammad Rohail T.August 24, 2026
  • Researchers Cut Quantum Error by 4.7 Times with Mitigation
    Quantum Algorithms

    Researchers Cut Quantum Error by 4.7 Times with Mitigation

    by Muhammad Rohail T.August 24, 2026
  • Soongsil University Team Estimates Ground-State Energy with 0.00 mHa Deviation
    Quantum Algorithms

    Soongsil University Team Estimates Ground-State Energy with 0.00 mHa Deviation

    by Muhammad Rohail T.August 24, 2026
  • Jyv Team Models Quantum Service Threats across Pipeline Stages
    Quantum Algorithms

    Jyv Team Models Quantum Service Threats across Pipeline Stages

    by Muhammad Rohail T.August 24, 2026
  • Researchers Identify Conditions for Minimising Errors in Temperature Estimation
    Quantum Algorithms

    Researchers Identify Conditions for Minimising Errors in Temperature Estimation

    by Physics NewsAugust 24, 2026
  • Researchers Boost Quantum Join Optimisation with New Start Points
    Quantum Algorithms

    Researchers Boost Quantum Join Optimisation with New Start Points

    by Quantum EvangelistAugust 24, 2026
  • Researchers Cut Quantum Network Service Time by 7.6%
    Quantum Algorithms

    Researchers Cut Quantum Network Service Time by 7.6%

    by SchrödingerAugust 24, 2026
  • Researchers Find Bayesian Inference Fastest at Classifying Photons
    Quantum Algorithms

    Researchers Find Bayesian Inference Fastest at Classifying Photons

    by Muhammad Rohail T.August 24, 2026
  • Researchers Bound Quantum Simulation Complexity to Input Size
    Quantum Algorithms

    Researchers Bound Quantum Simulation Complexity Using Query Counts

    by Quantum EvangelistAugust 24, 2026
  • A quantum walk across a landscape
    Quantum Algorithms

    Researchers Prove Conditions Enabling Efficient Simulations of Complex Quantum Algorithms

    by Physics NewsAugust 24, 2026
  • Researchers Converge Quantum Simulations in Ten Iterations
    Quantum Algorithms

    Researchers Converge Quantum Simulations in Ten Iterations

    by Quantum EvangelistAugust 24, 2026
  • Researchers Achieve Speedup with Parallel Quantum Algorithms
    Quantum Algorithms

    Researchers Achieve Speedup with Parallel Quantum Algorithms

    by Quantum StrategistAugust 24, 2026
  • Maryland Team Solves Poisson Equations Using One Quantum Circuit
    Quantum Algorithms

    Maryland Team Solves Poisson Equations Using One Quantum Circuit

    by Lab MonkeyAugust 24, 2026
  • Researchers Accelerate Drug Discovery with Quantum Computing
    Quantum Algorithms

    Researchers Accelerate Drug Discovery with Quantum Computing

    by SchrödingerAugust 23, 2026
  • Researchers Map Quantum System Responses with New Geometry
    Quantum Algorithms

    Researchers Map Quantum System Responses with New Geometry

    by Ivy DelaneyAugust 22, 2026
  • Eth ZĂ¼rich Team Detects Atom Impacts with 96% Certainty
    Quantum Algorithms

    Eth ZĂ¼rich Team Detects Atom Impacts with 96% Certainty

    by Physics HunterAugust 22, 2026
  • Researchers Harness Simulation Errors for Improved Accuracy
    Quantum Algorithms

    Researchers Harness Simulation Errors for Improved Accuracy

    by Physics NewsAugust 22, 2026
  • Researchers Speed Quantum Error Correction by up to 42 Times
    Quantum Algorithms, Quantum Error Correction

    Researchers Speed Quantum Error Correction by up to 42 Times

    by Quantum Computing NewsAugust 22, 2026
  • Researchers Cut Gate Count for Complex Quantum Circuits
    Quantum Algorithms

    Researchers Cut T-Count for Unitaries Using Block Encoding

    by Quantum EvangelistAugust 22, 2026
  • Universität Ulm Team Maps Noise Impact on Metrology Precision
    Quantum Algorithms

    Universität Ulm Team Maps Noise Impact on Metrology Precision

    by The QuantAugust 22, 2026
  • Researchers Simulate 2D Quantum States Using Monitored Circuits
    Quantum Algorithms

    Researchers Simulate 2D Quantum States Using Monitored Circuits

    by Physics NewsAugust 22, 2026
  • Chicago Team Builds Integer Programming Topological Code Decoder
    Quantum Algorithms, Quantum Error Correction

    Chicago Team Builds Integer Programming Topological Decoder

    by Quantum Computing NewsAugust 22, 2026
  • Researchers Simulate Complex Systems Efficiently Using Quantum Methods
    Quantum Simulation, Quantum Algorithms

    Researchers Simulate Complex Systems Efficiently Using Quantum Methods

    by The Quantum MechanicAugust 21, 2026
  • Team Links Circuit Design with Geometry
    Quantum Algorithms

    Team Links Geometry with Quantum Circuit Design

    by Muhammad Rohail T.August 21, 2026
  • Researchers Link Neutral-Atom Qubit Spacing to Noise Levels
    Quantum Algorithms

    Researchers Link Neutral-Atom Qubit Spacing to Noise Levels

    by Muhammad Rohail T.August 21, 2026
  • Researchers Build Adaptive Quantum Sensor Designs with Reinforcement Learning
    Quantum Algorithms, Quantum Sensors

    Researchers Build Adaptive Quantum Sensor Designs with Reinforcement Learning

    by Muhammad Rohail T.August 21, 2026
  • A blackboard of linear algebra theorems and basis working
    Quantum Algorithms, Mathematics, Quantum Computing News

    Quantum algorithm solves matrix equations much faster than classical methods

    by Ivy DelaneyAugust 21, 2026
  • Researchers Build Resilient Quantum States for Equations
    Quantum Algorithms

    Researchers Build Resilient Quantum States for Equations

    by Quantum EvangelistAugust 21, 2026
  • An optimization loss landscape
    Quantum Algorithms, Quantum Computing News

    QOBLIB gains quantum optimization data from JIJ

    by Ivy DelaneyAugust 21, 2026
  • Researchers Cut Quantum Circuit Gate Count with Reinforcement Learning
    Quantum Algorithms

    Researchers Cut Quantum Circuit Gate Count with Reinforcement Learning

    by Muhammad Rohail T.August 20, 2026
  • Researchers Find Spin Choice Cuts Quantum Gate Complexity
    Quantum Algorithms

    Researchers Find Spin Choice Cuts Quantum Gate Complexity

    by Muhammad Rohail T.August 20, 2026
  • Multi-layer tensor-network lattice rendered against a nebula
    Quantum Algorithms, Quantum Simulation

    Aalborg and Porto Researchers Model PDEs With Tensor Networks

    by Muhammad Rohail T.August 20, 2026
  • A quantum walk across a landscape
    Quantum Algorithms

    Researchers Propose PEPRino Algorithm for High-Fidelity Multi-Qubit Control Protocols

    by Muhammad Rohail T.August 19, 2026
  • Researchers Build Strong Quantum Designs in Logarithmic Depth
    Quantum Algorithms

    Researchers Build Strong Quantum Designs in Logarithmic Depth

    by Muhammad Rohail T.August 19, 2026
  • A blackboard of named quantum circuits and gate identities
    Quantum Algorithms, Quantum Machine Learning

    Researchers map quantum algorithms with Fourier analysis

    by The NeuronAugust 19, 2026
  • Researchers Engineer Correlations in Quantum Photon Sources
    Quantum Algorithms

    Researchers Engineer Correlations in Quantum Photon Sources

    by Muhammad Rohail T.August 18, 2026
  • Anhui Normal Team Finds One-Sided Supersolidity in Doped Lattices
    Quantum Algorithms

    Anhui Normal Team Finds One-Sided Supersolidity in Doped Lattices

    by Muhammad Rohail T.August 18, 2026
  • Researchers Identify New Primary Fields and Explain Decay up to Fifteen Orders
    Quantum Algorithms

    Researchers Identify New Primary Fields and Explain Decay up to Fifteen Orders

    by Muhammad Rohail T.August 17, 2026
  • Boulder Team Finds Type III Algebras Need Infinite Magic
    Quantum Algorithms

    Boulder Team Finds Type III Algebras Need Infinite Magic

    by Muhammad Rohail T.August 17, 2026
  • A quantum circuit on a chip
    Quantum Algorithms

    Shallow Circuits Fail to Realise Approximate Designs for Quantum Groups

    by Physics NewsAugust 17, 2026
  • Researchers Simulate Fluid Dynamics on Quantum Processor
    Quantum Algorithms

    Researchers Simulate Fluid Dynamics on Quantum Processor

    by Quantum StrategistAugust 17, 2026
  • Researchers Bound Quantum Circuit Complexity with New Witnesses
    Quantum Algorithms

    Researchers Bound Quantum Circuit Complexity with New Witnesses

    by Muhammad Rohail T.August 17, 2026
  • Researchers Concentrate Magic States from Any Unknown Qubit
    Quantum Algorithms, Quantum Error Correction

    Researchers Concentrate Magic States from Any Unknown Qubit

    by Quantum EvangelistAugust 17, 2026
  • Researchers Cut Quantum Resource Demand for Power Grid Islanding
    Quantum Algorithms

    Researchers Cut Quantum Resource Demand for Power Grid Islanding

    by SchrödingerAugust 17, 2026
  • Researchers Simulate Systems with Memory Using Quantum Algorithms
    Quantum Algorithms

    Researchers Simulate Systems with Memory Using Quantum Algorithms

    by Quantum StrategistAugust 17, 2026
  • Pavia Cuts Non-Local Operations in Distributed Quantum Circuits
    Quantum Algorithms

    MIT Cuts Non-Local Operations in Distributed Quantum Circuits

    by The Quantum MechanicAugust 17, 2026
  • Researchers Verify and Repair Quantum Ancilla Safety Efficiently
    Quantum Algorithms

    Researchers Verify and Repair Quantum Ancilla Safety Efficiently

    by SchrödingerAugust 17, 2026
  • Algorithms Require at Least N Rounds to Colour Cycles with Quantum Computers
    Quantum Algorithms

    Algorithms Require at Least N Rounds to Colour Cycles with Quantum Computers

    by Quantum Computing NewsAugust 17, 2026
  • Researchers Limit Decoder Costs for Faster Fault-Tolerant Computation
    Quantum Algorithms, Quantum Error Correction

    Researchers Limit Decoder Costs for Faster Fault-Tolerant Computation

    by FuturistAugust 17, 2026
  • Researchers Cut CNOT Gate Count to 12 for Qubit Excitation
    Quantum Algorithms

    Researchers Cut CNOT Gate Count to 12 for Qubit Excitation

    by Quantum EvangelistAugust 17, 2026
  • Vanessa Dehn und Dr. Florentin Reiter, Autoren zweier aktueller Veröffentlichungen
    Quantum Research News, Quantum Algorithms

    Fraunhofer IAF review pushes for more robust quantum algorithm benchmarks

    by The QuantAugust 15, 2026
  • Adult learners at desks facing a whiteboard of faint diagrams
    Quantum Algorithms, Quantum Computing News

    JIJ organizes QuBench 2026 at IEEE Quantum Week in Toronto

    by The NeuronAugust 14, 2026
  • Trapped ion quantum computer controlling individual atoms with lasers
    Quantum Algorithms, Quantum Simulation

    Quantinuum’s Backpropagation Algorithm Rivals Sparse Pauli Simulation Speed

    by Muhammad Rohail T.August 13, 2026
  • Virginia Tech hires quantum algorithms expert Jiaqi Leng
    Quantum Algorithms, Quantum Computing News

    Virginia Tech hires quantum algorithms expert Jiaqi Leng

    by The NeuronAugust 13, 2026
  • A key drawn in glowing binary digits above a circuit board
    Quantum Algorithms, Quantum Cryptography

    WarpSpeed Says its AI cuts quantum encryption cracking cost sharply

    by Dr. DonovanAugust 13, 2026
  • A quantum processor chip
    Quantum Algorithms, Drug Discovery

    Xanadu and Alberta U. seek better cancer drugs with quantum chips

    by Ivy DelaneyAugust 13, 2026
  • IBM partners track quantum gains with QOBLIB optimization library
    Quantum Research News, Quantum Algorithms

    IBM partners track quantum gains with QOBLIB optimization library

    by Dr. DonovanAugust 12, 2026
  • A chain of trapped ions lit by red lasers
    Quantum Research News, Quantum Algorithms

    Graph decomposition boosts resilience in quantum optimization

    by The QuantAugust 12, 2026
  • A glowing lattice of binary cells above a circuit board
    Quantum Algorithms, Quantum Physics

    Algorithm guarantees efficient quantum thermal state creation

    by Rusty FlintAugust 12, 2026
  • Levitating superconductor pellet above a magnet
    Quantum Research News, Quantum Algorithms

    PGLib Rules Out Quantum Power Flow Advantage at Every Readout Level

    by Muhammad Rohail T.August 11, 2026
  • Researchers Protect Quantum Data during Storage with Noise Correction
    Quantum Algorithms

    Researchers Protect Quantum Data during Storage with Noise Correction

    by The QuantAugust 11, 2026
  • A noisy quantum signal
    Quantum Algorithms, Quantum Physics

    Quantum advantage shown with shallow circuits, despite errors

    by The QuantAugust 11, 2026
  • An optimization loss landscape
    Quantum Algorithms

    Quantum noise tolerance unlocks IQM’s new optimization technique

    by Ivy DelaneyAugust 11, 2026
  • A superconducting quantum computer
    Quantum Algorithms, Quantum Hardware

    Q-CTRL runs 100-qubit quantum algorithm on IBM hardware

    by Ivy DelaneyAugust 10, 2026
  • Blue and orange glowing orbs encircled by orbital rings and crossed by a colorful waveform in space
    Quantum Algorithms, Quantum Physics

    Szegedy Walk’s Transition Matrix Perturbation Has Spectral Norm 1/N

    by Muhammad Rohail T.August 10, 2026
  • Vertical carbon-nanotube array merging into a circuit layer
    Quantum Research News, Quantum Algorithms

    Classiq Shows Quantum Circuit Width Grows Logarithmically for Spatial Search

    by Muhammad Rohail T.August 10, 2026
  • Optimization algorithms finding the best solutions to complex problems
    Quantum Research News, Quantum Algorithms

    Quantinuum’s Correlation-Based Optimization Solves Problems Up To 1000 Variables

    by Muhammad Rohail T.August 5, 2026
  • An abstraction of a quantum algorithm
    Quantum Algorithms, High Performance Computing

    UT Austin Achieves 2.71x Speedup with Quantum Rare-Regime System Searches

    by Muhammad Rohail T.August 5, 2026
  • Mathematics exploring abstract structures and logical proofs
    Quantum Algorithms, Mathematics

    Ginibre Matrix Permanent Density Proves Anticoncentration Conjecture

    by Muhammad Rohail T.August 5, 2026
  • Four cellular-automata patterns on pixel grids
    Quantum Algorithms, Quantum Physics

    Researchers set a lower bound for quantum equation solving

    by Rusty FlintAugust 5, 2026
  • Billiard balls for randomness
    Quantum Algorithms, Quantum Physics

    1-bit quantum filter cuts complexity of particle tracking

    by Ivy DelaneyAugust 5, 2026
  • Entanglement across a chip
    Quantum Algorithms, Quantum Computing News

    Quantinuum & Partners Run 98-Qubit Quantum Fourier Transform

    by Rusty FlintAugust 4, 2026
  • A quantum circuit on a chip
    Quantum Research News, Quantum Algorithms, Quantum Error Correction

    How Error-Correcting Codes Raise Quantum Gate Complexity

    by Muhammad Rohail T.August 2, 2026
  • An optimization loss landscape
    Quantum Algorithms, Quantum Physics

    54-Qubit Device Validates Noise-Resilient Optimization Framework

    by Muhammad Rohail T.August 1, 2026
  • A speedometer for performance
    Quantum Algorithms, Quantum Applications

    Superpixels Cut Quantum Image Segmentation Problems 33Ă— Faster

    by Muhammad Rohail T.July 31, 2026
  • A speedometer for performance
    High Performance Computing, Quantum Algorithms

    2-Approximation Algorithm Rivals Quantum Traveling Salesman Problem Performance

    by Muhammad Rohail T.July 30, 2026
  • An optimization loss landscape
    Quantum Algorithms, Quantum Machine Learning

    New Ranking Loss Boosts Quantum Architecture Search Performance

    by The NeuronJuly 30, 2026
  • Mandal Indian Institute of Science: Researchers Halve Quantum Algorithm Shots and Cut Energy Use ...
    Quantum Algorithms

    Mandal Indian Institute of Science: Researchers Halve Quantum Algorithm Shots and Cut Energy Use by 62%

    by Muhammad Rohail T.July 29, 2026
  • University of Oxford Team Designs Stacked LCUs for Tunable Quantum Trainability
    Quantum Algorithms

    University of Oxford Team Designs Stacked LCUs for Tunable Quantum Trainability

    by Muhammad Rohail T.July 29, 2026
  • Superconducting Quantum Materials and Systems (SQMS) Center: Researchers Extend Grover’s Search t...
    Quantum Algorithms

    Superconducting Quantum Materials and Systems (SQMS) Center: Researchers Extend Grover’s Search to More Efficient Multilevel Quantum Systems

    by Muhammad Rohail T.July 29, 2026
  • Researchers Present MPStab Simulator for Exploring Limits of Classical Quantum Computation
    Quantum Algorithms

    Researchers Present MPStab Simulator for Exploring Limits of Classical Quantum Computation

    by Muhammad Rohail T.July 29, 2026
  • A molecular dynamics simulation on screen
    Quantum Algorithms, High Performance Computing

    How iSTAR Exploits Trajectory Collapse to Speed Quantum-Inspired Solvers

    by Ivy DelaneyJuly 29, 2026
  • A photonic processor chip
    Quantum Algorithms, Quantum Hardware

    Photonic Chip Runs Grover’s Search With Four Qubits

    by Ivy DelaneyJuly 29, 2026
  • A superconducting qubit chip lattice
    Quantum Algorithms, Quantum Cryptography

    Lattice Problems Mapped to Quantum Optimization via QUBO Formulation

    by Dr. DonovanJuly 29, 2026
  • A noisy waveform trace
    Quantum Research News, Quantum Algorithms

    Quemix & Sumitomo Rubber Scale Readout With Fewer Quantum Gates

    by Dr. DonovanJuly 28, 2026
  • A quantum walk across a landscape
    Quantum Algorithms, Quantum Machine Learning

    Researchers Build Quantum Multi-Label k-Nearest Neighbor Algorithm

    by The NeuronJuly 28, 2026
  • An abstraction of a quantum algorithm
    Quantum Algorithms, Quantum Security

    1.3Ă— to 2.9Ă— Energy Boost Signals Quantum Algorithm Backdoor

    by The NeuronJuly 27, 2026
  • A quantum circuit on a chip
    Quantum Algorithms, Quantum Machine Learning

    Quantinuum, NVIDIA Corporation, and Pfizer Inc Transformer Models Now Generate Quantum Circuits for Molecular Models

    by The NeuronJuly 27, 2026
  • A quantum computer's dilution refrigerator
    Quantum Research News, Quantum Algorithms

    Explicit Block-Encodings Solve Biharmonic Equations on Quantum Computers

    by Ivy DelaneyJuly 27, 2026
  • North Carolina State University Team Designs Quantum Signal Processing for Robust Quantum Control
    Quantum Algorithms

    North Carolina State University Team Designs Quantum Signal Processing for Robust Quantum Control

    by Muhammad Rohail T.July 25, 2026
  • Hu and Colleagues Demonstrate 0.943 Efficiency Photonic Platform for Quantum Information Processing
    Quantum Algorithms, Quantum Hardware

    Hu and Colleagues Demonstrate 0.943 Efficiency Photonic Platform for Quantum Information Processing

    by Muhammad Rohail T.July 25, 2026
  • A quantum circuit on a chip
    Artificial Intelligence, Quantum Algorithms

    Argonne AI Cuts Quantum Circuit Design Time for Nuclear Physics

    by The NeuronJuly 25, 2026
  • A vintage computing terminal
    Quantum Algorithms, Quantum Computing News

    How Microsoft Quantum Cuts Quantum Program Costs With Quantum Resource Estimator

    by Ivy DelaneyJuly 25, 2026
  • An optimization loss landscape
    Artificial Intelligence, Quantum Algorithms

    Rice Builds AI to Tackle Quantum Optimization Bottlenecks

    by The NeuronJuly 25, 2026
  • An abstraction of a quantum algorithm
    Artificial Intelligence, Quantum Algorithms

    76 Quantum Theorems Completed by AI in New Lean 4 Benchmarks

    by Ivy DelaneyJuly 25, 2026
  • Beams of light crossing token embeddings in a transformer schematic
    Quantum Algorithms, Quantum Machine Learning

    Transformer Hits 1.000 Fidelity on 6-Qubit Parameterized Circuits

    by The NeuronJuly 24, 2026

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