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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.

  • Researchers Find Repulsive Polaron Interactions in Strong Regimes
    Quantum Algorithms

    Researchers Find Repulsive Polaron Interactions in Strong Regimes

    by Muhammad Rohail T.October 30, 2026
  • Figure showing the different mechanisms at play with nanostructured versus flat titanium dioxide
    Quantum Algorithms, Quantum Simulation

    QFlow algorithm harvests quantum data from many small calculations

    by Dr. DonovanOctober 30, 2026
  • A tightly-packed arrangement of dark blue and silver spheres is presented on a dark surface, lit dramatically.
    Quantum Algorithms, Quantum Simulation

    Layers of quantum operations compress circuit depth for chemistry

    by Ivy DelaneyOctober 30, 2026
  • A dark, futuristic laboratory setting features a circular platform with glowing purple elements and bright, sparking electrical arcs between two points.
    Quantum Algorithms

    Researchers Propose Noise Thresholds for Quantum Algorithm Reliability

    by Muhammad Rohail T.October 30, 2026
  • Alice & Bob put breaking RSA-2048 at 23,000 cat qubits and three days
    Quantum Algorithms, Quantum Security

    Alice & Bob put breaking RSA-2048 at 23,000 cat qubits and three days

    by The QuantOctober 29, 2026
  • Two clear spheres connected by a glowing line rest on a dark surface, illuminated by blue and purple lighting.
    Quantum Research News, Quantum Algorithms

    Quantum data re-uploading works with single-qubit measurements

    by Ivy DelaneyOctober 29, 2026
  • Researchers Accelerate Quantum Battery Charge with New Method
    Quantum Algorithms

    Researchers Accelerate Quantum Battery Charge with New Method

    by Muhammad Rohail T.October 29, 2026
  • A dark grey circuit board with silver and black components is lit from above, creating strong highlights and shadows.
    Quantum Algorithms, Quantum Applications

    Peer-to-peer energy scheduling gets 3x faster on quantum hardware

    by Rusty FlintOctober 29, 2026
  • A minimalist white line graph curves across a black background, suggesting a wave or signal in a dark, abstract setting.
    Quantum Physics, Quantum Algorithms

    Geometric quantum state preparation solves Helmholtz equation

    by Ivy DelaneyOctober 29, 2026
  • Blog_chandalier_8681e2aabc.png"/> <meta name="twitter
    Quantum Algorithms, Quantum Error Correction

    IBM, Qedma and Algorithmiq show quantum advantage with trusted computation

    by Rusty FlintOctober 29, 2026
  • A dark, complex circuit board is highlighted with glowing cyan rings, suggesting advanced processing or quantum effects.
    Quantum Algorithms, Quantum Simulation

    A new benchmark tests quantum algorithms with realistic noise

    by Ivy DelaneyOctober 29, 2026
  • A dark, angled view of a circuit board with glowing blue lines, set against a purple and black background.
    Quantum Research News, Quantum Algorithms

    Quantum QAOA fails to improve on classical QUBO solutions tested

    by Ivy DelaneyOctober 28, 2026
  • A dark background features a complex network of golden and blue circuit lines radiating from a central point, creating a futuristic aesthetic.
    Quantum Algorithms, Quantum Applications

    Quantum-classical system solves EV charging on IBM hardware

    by The QuantOctober 28, 2026
  • A dark background displays a network of glowing orange and purple nodes connected by thin lines, creating a futuristic data visualisation.
    Quantum Algorithms, Quantum Simulation

    New quantum algorithm maps out optimal qubit gate performance

    by Ivy DelaneyOctober 27, 2026
  • Researchers Train 64-Qubit Circuits Entirely with Classical Tools
    Quantum Algorithms

    Researchers Train 64-Qubit Circuits Entirely with Classical Tools

    by Quantum StrategistOctober 27, 2026
  • Researchers Detail Paths Toward Super-Quadratic Quantum Speedups
    Quantum Algorithms

    Researchers Detail Paths Toward Super-Quadratic Quantum Speedups

    by Muhammad Rohail T.October 26, 2026
  • A swirling, iridescent vortex of colour surrounds a dark central sphere against a black background, creating an abstract, otherworldly effect.
    Quantum Algorithms, Quantum Simulation

    Quantum Art expands wave simulation to buildings, sound, and materials

    by Rusty FlintOctober 26, 2026
  • A complex arrangement of metallic components sits on a white surface, illuminated against a dark background, with gold, copper and silver tones.
    Quantum Algorithms

    Quantum Algorithm Resolves Key Features of Superconductor’s Electronic Structure

    by Ivy DelaneyOctober 26, 2026
  • A bright room with a pale screen beside a small machine
    Quantum Algorithms

    Researchers Propose Tests for Quantum Algorithm Correctness

    by Ivy DelaneyOctober 26, 2026
  • Quantum Method Estimates Solutions to Complex Equations with Polylogarithmic Queries
    Quantum Algorithms

    Quantum Method Estimates Solutions to Complex Equations with Polylogarithmic Queries

    by Ivy DelaneyOctober 26, 2026
  • A network of colourful spheres connected by faint lines is displayed against a black background, creating a visually striking composition.
    Quantum Algorithms, Quantum Machine Learning

    Quantum graph networks find larger cliques with less training

    by The NeuronOctober 26, 2026
  • Researchers Cut Quantum Annealing Time to Constant Order
    Quantum Algorithms

    Phasecraft Researchers Cut Quantum Annealing Time to Constant Order

    by Ivy DelaneyOctober 25, 2026
  • Researchers Cut Quantum Simulation Gate Count by over Nine Times
    Quantum Algorithms

    Researchers Cut Quantum Simulation Gate Count by over Nine Times

    by Ivy DelaneyOctober 25, 2026
  • Sheffield Team Trains Scalable Quantum Generator
    Quantum Algorithms

    Sheffield Team Trains Scalable Quantum Generator

    by Ivy DelaneyOctober 25, 2026
  • Researchers Accelerate Quantum Circuits by up to 606x
    Quantum Algorithms

    Researchers Accelerate Quantum Circuits by up to 606x

    by Muhammad Rohail T.October 25, 2026
  • Pavia Team Boosts Operator Density from 0.023 to 0.308 with Whitening
    Quantum Algorithms

    Pavia Team Boosts Operator Density from 0.023 to 0.308 with Whitening

    by Ivy DelaneyOctober 25, 2026
  • Researchers Cut Quantum Compilation Costs by 73% with AI
    Quantum Algorithms

    Phasecraft and Virginia Tech Researchers Cut Quantum Compilation Costs by 73% with AI

    by Ivy DelaneyOctober 25, 2026
  • Researchers Boost Precision Using System Resets
    Quantum Algorithms

    Researchers Boost Precision Using System Resets

    by Ivy DelaneyOctober 25, 2026
  • Researchers Bound Quantum Approximate Optimization Algorithm Success with Problem Structure Analysis
    Quantum Algorithms

    Researchers Bound Quantum Approximate Optimization Algorithm Success with Problem Structure Analysis

    by Ivy DelaneyOctober 25, 2026
  • Researchers Link Coherence Retention to Faster Quantum Transfer
    Quantum Algorithms

    Researchers Link Coherence Retention to Faster Quantum Transfer

    by Ivy DelaneyOctober 25, 2026
  • Circuits Prepare States with Errors below One Percent on 30 Qubits
    Quantum Algorithms

    Circuits Prepare States with Errors below One Percent on 30 Qubits

    by Ivy DelaneyOctober 25, 2026
  • Researchers Find ‘time Liquids’ Lacking Perfect Temporal Order
    Quantum Algorithms

    Researchers Find ‘time Liquids’ Lacking Perfect Temporal Order

    by Ivy DelaneyOctober 25, 2026
  • Santa Maria Team Analyzes Entanglement Buildup in Quantum Optimization Algorithms
    Quantum Algorithms

    Santa Maria Team Analyzes Entanglement Buildup in Quantum Optimization Algorithms

    by Ivy DelaneyOctober 25, 2026
  • Researchers Build Trust in AI-Designed Quantum Algorithms
    Quantum Algorithms

    Researchers Build Trust in AI-Designed Quantum Algorithms

    by Ivy DelaneyOctober 25, 2026
  • Researchers Test Binary Quadrature Encoding on a 56-Qubit Chip
    Quantum Algorithms

    Researchers Test Binary Quadrature Encoding on a 56-Qubit Chip

    by Ivy DelaneyOctober 25, 2026
  • Nagoya University Team Unifies Quantum Divergence Extensions
    Quantum Algorithms

    Nagoya University Team Unifies Quantum Divergence Extensions

    by Ivy DelaneyOctober 25, 2026
  • A sprawling network of lights illuminates a misty landscape at dusk, with soft pink and purple hues dominating the scene.
    Quantum Physics, Quantum Algorithms

    Quantum algorithm speeds up optimisation at a key transition point

    by Rusty FlintOctober 23, 2026
  • A glowing, twisting strand of white lights against a dark background creates an abstract, futuristic visual with purple highlights.
    Quantum Algorithms, Quantum Simulation

    Quantum algorithm finds states of systems driven by periodic forces

    by Ivy DelaneyOctober 23, 2026
  • A glowing, rectangular grid of small, golden spheres against a black background creates a futuristic, high-tech aesthetic.
    Physics, Quantum Algorithms

    A 152-qubit model tested by classical quantum chemistry

    by Ivy DelaneyOctober 23, 2026
  • A grid of dots is overlaid with a glowing, pastel-coloured neural network visualisation, creating an abstract, digital aesthetic.
    Artificial Intelligence, Quantum Algorithms

    Phasecraft asks if AI agents can automate quantum circuit optimization?

    by Dr. DonovanOctober 23, 2026
  • Fewer qubits needed for quantum apps thanks to Xanadu's work
    Quantum Algorithms, Quantum Computing News

    Fewer qubits needed for quantum apps thanks to Xanadu’s work

    by The QuantOctober 22, 2026
  • A glowing, white tree with light-emitting nodes stands in a purple desert landscape under a twilight sky.
    Quantum Algorithms, Quantum Computing News

    Quantum algorithm cuts memory needed for future event predictions

    by Dr. DonovanOctober 21, 2026
  • A close-up of a green circuit board with blue connectors and silver components is lit dramatically, creating sharp shadows.
    Quantum Research News, Quantum Algorithms

    Interactive proofs let a quantum computer outsource memory tasks

    by Dr. DonovanOctober 20, 2026
  • Aerial night view of a city with glowing highway interchanges crossing at its centre
    Quantum Algorithms, Quantum Events, Quantum Features

    Trains, floods and wedding guests tested quantum computing for logistics at QCE26

    by Ivy DelaneyOctober 20, 2026
  • A metal wing section on a test stand shedding a swirl of smoke in a dark wind tunnel
    Quantum Algorithms, Quantum Events, Quantum Features

    Quantum CFD at QCE26 learned the price of its doors

    by Ivy DelaneyOctober 20, 2026
  • A glowing energy landscape of ridges and valleys with a bright ball resting in the lowest basin, as in annealing
    Quantum Algorithms, Quantum Events, Quantum Features

    Quantum optimisation at QCE26 leaned on its classical half

    by Ivy DelaneyOctober 20, 2026
  • A glowing wireframe Bloch sphere with one arrow from its centre marking a qubit state on its surface
    Quantum Algorithms, Quantum Events, Quantum Features

    Quantum state preparation and oracles got cheaper at QCE26, on paper

    by Ivy DelaneyOctober 20, 2026
  • A waterfall of glowing blue and gold binary digits pours onto a dark circuit board lined with chips and gold traces
    Quantum Algorithms, Quantum Error Correction

    Delegated quantum computing now more robust to noise

    by Dr. DonovanOctober 19, 2026
  • Weaving loom strung with copper and steel threads, glowing points where the strands cross
    Quantum Algorithms, Quantum Machine Learning

    Researchers map 119 studies of AI and quantum optimization

    by The NeuronOctober 19, 2026
  • A gold-foil-wrapped cryogenic unit linked by a glowing blue optical fibre to spools of fibre in a lab
    Quantum Research News, Quantum Algorithms

    Quantum memory gets a boost from encoding data more efficiently

    by Rusty FlintOctober 19, 2026
  • Designing more efficient quantum circuits with Claude
    Quantum Research News, Quantum Algorithms

    Anthropic’s Claude improves quantum optimization designs

    by Rusty FlintOctober 17, 2026
  • A metallic chip with an array of circular features glowing in purple, blue, and yellow, set against a dark background.
    Quantum Physics, Quantum Algorithms

    Sparse Hamiltonians can be learned with slower quantum controls

    by Rusty FlintOctober 16, 2026
  • A dark-coloured quantum computer is shown in a bright, industrial setting with a monitor displaying data graphs.
    Quantum Algorithms, Quantum Hardware

    SAXON Q’s three qubits hit a 77% target rate at room temperature

    by The QuantOctober 16, 2026
  • A close view along a silicon chip showing a row of gate electrodes with one active site glowing
    Quantum Research News, Quantum Algorithms

    Researchers from Harvard Quantum, Anthropic and QuEra show new circuits cut qubit counts for quantum calculations

    by The NeuronOctober 16, 2026
  • Fraunhofer IWU’s three qubits find both answers 87% of the time
    Quantum Algorithms, Quantum Hardware

    Fraunhofer IWU’s three qubits find both answers 87% of the time

    by Ivy DelaneyOctober 15, 2026
  • A complex, multi-tiered structure of gold and silver-toned metal, surrounded by swirling white vapor, dominates the dark setting
    Quantum Algorithms, Quantum Simulation

    Canada and UK fund software for better quantum devices

    by Ivy DelaneyOctober 15, 2026
  • Two curving bands of blue and gold binary digits wind across a dark circuit board seen from above
    Quantum Algorithms, Quantum Software

    QuEra alliance gains algorithms from Terra Quantum

    by Dr. DonovanOctober 15, 2026
  • A glowing ribbon of binary digits edged with ice crystals winds across a frost-covered circuit board towards a bright horizon
    Quantum Algorithms, Quantum Simulation

    New method hits a theoretical limit for quantum algorithm sampling cost

    by Ivy DelaneyOctober 14, 2026
  • A waterfall of glowing blue and gold binary digits pours onto a dark circuit board lined with chips and gold traces
    Quantum Algorithms, Quantum Simulation

    Quantum algorithm simulates complex environments with fewer qubits

    by Dr. DonovanOctober 13, 2026
  • Cutaway of a layered semiconductor device with two glowing quantum dots and gold electrodes
    Quantum Research News, Quantum Algorithms

    A quantum walk finds good solutions with only 30 qubits

    by Ivy DelaneyOctober 13, 2026
  • An abstract, glowing peak rises from a dark, swirling landscape of blue and white contour lines
    Quantum Physics, Quantum Algorithms

    Quantum walks with atoms offer a quadratic speedup

    by The QuantOctober 13, 2026
  • Glowing blue and gold binary digits rise into a mountain range above a dark circuit board
    Quantum Algorithms, Quantum Error Correction

    Hybrid quantum-classical algorithm matches best code solvers

    by Dr. DonovanOctober 13, 2026
  • Amazon Braket integrates with AWS Batch for scalable workflows
    Quantum Algorithms, High Performance Computing

    Amazon Braket integrates with AWS Batch for scalable workflows

    by Ivy DelaneyOctober 13, 2026
  • A close-up of a circuit board with glowing components and bright laser beams, set against a dark background, using vibrant blues, reds and greens.
    Artificial Intelligence, Quantum Algorithms

    Mines alumni build AI that explains quantum circuits

    by The NeuronOctober 13, 2026
  • A quantum algorithm beats classical methods for car painting puzzle
    Quantum Algorithms, Quantum Computing News

    A quantum algorithm beats classical methods for car painting puzzle

    by Ivy DelaneyOctober 13, 2026
  • A glowing ribbon of binary digits edged with ice crystals winds across a frost-covered circuit board towards a bright horizon
    Quantum Algorithms, Quantum Error Correction

    JP Morgan Chase and Quantinuum get fault-tolerant algorithms running

    by Ivy DelaneyOctober 12, 2026
  • Four illuminated screens display fractal patterns in shades of blue, green, and purple against a dark background
    Quantum Algorithms, Quantum Simulation

    A new method unlocks quantum speedups for common chemistry simulations

    by Ivy DelaneyOctober 11, 2026
  • A circuit board lit like a city seen from the air
    Quantum Research News, Quantum Algorithms

    A graph-based method cuts quantum circuit building costs

    by Ivy DelaneyOctober 9, 2026
  • Researchers Boost Qubit Sampling by over 100,000 Percent
    Quantum Algorithms

    Researchers Boost Qubit Sampling by over 100,000 Percent

    by Ivy DelaneyOctober 8, 2026
  • Researchers Achieve 85.3% Accuracy Via Quantum Classification
    Quantum Algorithms

    Researchers Achieve 85.3% Accuracy Via Quantum Classification

    by Ivy DelaneyOctober 7, 2026
  • A network of glowing, connected nodes stretches across a dark background, utilizing warm orange and golden hues
    Quantum Algorithms, Quantum Software

    Fraunhofer FOKUS’s Qrisp framework wins Quantum Effects Award

    by Ivy DelaneyOctober 7, 2026
  • Researchers Find Instant Spatial Decoherence in Systems
    Quantum Algorithms

    Researchers Find Instant Spatial Decoherence in Systems

    by Ivy DelaneyOctober 7, 2026
  • Researchers Map Causal Links from Probability Data
    Quantum Algorithms

    Researchers Map Causal Links from Probability Data

    by Ivy DelaneyOctober 6, 2026
  • Figure 1. Best valid circuit from each of the 101 participants with a valid submission. Stars highlight the five winners
    Quantum Algorithms, Quantum Programming

    Classiq challenge drew 387 quantum coders from 40 nations

    by Dr. DonovanOctober 6, 2026
  • Researchers Predict Exponential Growth of Boson Binding Scales
    Quantum Algorithms

    Researchers Predict Exponential Growth of Boson Binding Scales

    by Ivy DelaneyOctober 5, 2026
  • Researchers Find Anyon Models Host Multiple Particle Bonds
    Quantum Algorithms

    Researchers Find Anyon Models Host Multiple Particle Bonds

    by Ivy DelaneyOctober 5, 2026
  • Researchers Map Electronic Structure with Krylov Diagonalization
    Quantum Algorithms

    Researchers Map Electronic Structure with Krylov Diagonalization

    by Ivy DelaneyOctober 5, 2026
  • Researchers Propose Algorithm to Rebuild Fluid Flows from Limited Data
    Quantum Algorithms

    Researchers Propose Algorithm to Rebuild Fluid Flows from Limited Data

    by Ivy DelaneyOctober 5, 2026
  • Researchers Achieve Np-Hardness for Approximating Ising Model Properties
    Quantum Algorithms

    Researchers Achieve Np-Hardness for Approximating Ising Model Properties

    by Ivy DelaneyOctober 4, 2026
  • Researchers Simulate Molecular Dynamics Including Nuclear Effects
    Quantum Algorithms

    Researchers Simulate Molecular Dynamics Including Nuclear Effects

    by Ivy DelaneyOctober 4, 2026
  • Researchers Limit Quantum Noise Loss to Three Percentage Points
    Quantum Algorithms

    Researchers Limit Quantum Noise Loss to Three Percentage Points

    by Ivy DelaneyOctober 4, 2026
  • Researchers Unlock Accurate Spectra Via Optimised Density Functionals
    Quantum Algorithms

    Researchers Unlock Accurate Spectra Via Optimised Density Functionals

    by Ivy DelaneyOctober 2, 2026
  • Researchers Find Lower-Noise Circuits Beat Faster Fourier Transforms
    Quantum Algorithms

    Researchers Find Lower-Noise Circuits Beat Faster Fourier Transforms

    by Ivy DelaneyOctober 2, 2026
  • Paris-Saclay Team Bounds Fourier Coefficient Deviation Exponentially
    Quantum Algorithms

    Paris-Saclay Team Bounds Fourier Coefficient Deviation Exponentially

    by Ivy DelaneyOctober 2, 2026
  • Researchers Cut Quantum Circuit Complexity by 26x for Molecules
    Quantum Algorithms

    Researchers Cut Quantum Circuit Complexity by 26x for Molecules

    by Ivy DelaneyOctober 2, 2026
  • Pennsylvania Team Simulates Hamiltonians with Improved Precision
    Quantum Algorithms

    Pennsylvania Team Simulates Hamiltonians with Improved Precision

    by Ivy DelaneyOctober 2, 2026
  • Researchers Achieve Quantum Circuit Design Is Computationally Complete for Three Colours
    Quantum Algorithms

    Researchers Achieve Quantum Circuit Design Is Computationally Complete for Three Colours

    by Ivy DelaneyOctober 2, 2026
  • Researchers Build Faster Quantum State Preparation Technique
    Quantum Algorithms

    Researchers Build Faster Quantum State Preparation Technique

    by Ivy DelaneyOctober 2, 2026
  • A vibrant billiards table bursts with action as balls collide amidst a dimly lit, wood-paneled recreation space
    Quantum Algorithms

    Quantum Designs Fail to Guarantee Randomness after Just Hundreds of Steps

    by Ivy DelaneyOctober 2, 2026
  • Four illuminated screens display fractal patterns in shades of blue, green, and purple against a dark background
    Quantum Algorithms, Quantum Simulation

    Cost gaps of 10^(-4) achieved in quantum power demand simulations

    by Rusty FlintOctober 2, 2026
  • Researchers Bound Errors in Quantum Simulations Using New Sampling Method
    Quantum Algorithms

    Researchers Bound Errors in Quantum Simulations Using New Sampling Method

    by Ivy DelaneyOctober 2, 2026
  • Researchers Cut Quantum Gate Counts for Group Decomposition
    Quantum Algorithms

    Researchers Cut Quantum Gate Counts for Group Decomposition

    by Ivy DelaneyOctober 2, 2026
  • Researchers Bound Quantum Advantage with Permutation Symmetry
    Quantum Algorithms

    Researchers Bound Quantum Advantage with Permutation Symmetry

    by Ivy DelaneyOctober 2, 2026
  • Bruxelles Team Derives Optimal Quantum Algorithm Building Blocks
    Quantum Algorithms

    Bruxelles Team Derives Optimal Quantum Algorithm Building Blocks

    by Ivy DelaneyOctober 2, 2026
  • ParityQC & Innsbruck team’s EO maps algorithms to spin qubit hardware
    Quantum Algorithms, Quantum Hardware

    ParityQC & Innsbruck team’s EO maps algorithms to spin qubit hardware

    by The QuantOctober 1, 2026
  • A glowing, textured sphere of golden particles sits within a square frame of bright blue dots against a dark background
    Quantum Algorithms, Quantum Simulation

    Quantum algorithms cut Monte Carlo sampling in simulations

    by Dr. DonovanOctober 1, 2026
  • A dark wind tunnel test reveals airflow around a dark, streamlined model, with a scientist monitoring equipment nearby.
    Quantum Algorithms, High Performance Computing

    ORNL quantum algorithm tackles bottleneck in fluid dynamics modeling

    by Dr. DonovanSeptember 30, 2026
  • A rustic wooden desk holds stacked gold coins alongside books, a mug, and a monitor displaying financial charts
    Quantum Algorithms, Quantum Security

    Yukon & StarkWare unlock quantum 80% drop in Bitcoin costs

    by Ivy DelaneySeptember 29, 2026
  • Researchers Bound Quantum Evolution Using State Texture Measures
    Quantum Algorithms

    Researchers Bound Quantum Evolution Using State Texture Measures

    by Muhammad Rohail T.September 29, 2026
  • A teal lattice structure with red glowing points distorts the grid, set against a black background
    Quantum Algorithms, Quantum Platforms

    ‘Digital qubits’ unlock six quantum algorithms on DecaQ’s new cloud

    by The QuantSeptember 29, 2026

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