Algorithm Library

Grover Noise-Resilient

"Optimized Grover variant with identity-gate padding to counteract decoherence in NISQ devices."

ComplexityO(√N log N)

Capacity4-20 qb

Amplitude Estimation

"Estimates the probability of a specific outcome without heavy sampling."

ComplexityO(1/ε)

Capacity5-100 qb

Pattern Matching

"Locates bit-string patterns in superposition with sub-linear complexity."

QAOA Max-Cut

"Variational algorithm for solving combinatorial graph cut problems."

QAOA Traveling Salesman

"Heuristic solver for the TSP using penalty-based Hamiltonian mapping."

Capacity10-64 qb

VQE Ising Chain

"Ground state search for 1D transverse field Ising models."

Capacity2-24 qb

ComplexityO(Exp(N)) classic

Quadratic Binary Opt

"Universal QUBO solver mapped to quantum annealing or QAOA protocols."

Shor Factorization

"Exponential speedup for prime factorization, breaking RSA security."

Discrete Log

"Solves discrete logarithm problems on cyclic groups."

BB84 Protocol

"First QKD protocol for secure key exchange with eavesdropping detection."

VQE Hydrogen-2

"Standard benchmark for quantum chemistry; simulates the H2 molecule ground state."

VQE Lithium Hydride

"Multi-orbital simulation of LiH using the Jordan-Wigner mapping."

Fermi-Hubbard Model

"Simulates strongly correlated electron systems in solid-state physics."

Capacity16-64 qb

ComplexityO(log N * depth)

HHL Linear Solver

"Quantum algorithm for solving large-scale linear systems of equations Ax=b."

QFT Standard

"Quantum Fourier Transform; the core building block for many speedups."

Matrix Inversion v6

"Improved HHL variant with noise-suppression and shallow circuit depth."

Capacity10-80 qb

Quantum SVM

"Support Vector Machine using quantum-enhanced feature maps."

Quantum GAN

"Generative Adversarial Network for synthesizing quantum states."

Capacity6-24 qb

Q-Boltzmann Machine

"Probabilistic graphical model for unsupervised learning on quantum data."

Capacity10-40 qb

Circuit Synthesis #1001

"Autonomous variant 1 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity5-33 qb

Circuit Synthesis #1002

"Autonomous variant 2 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity6-34 qb

Circuit Synthesis #1003

"Autonomous variant 3 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity7-35 qb

Circuit Synthesis #1004

"Autonomous variant 4 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity8-36 qb

Circuit Synthesis #1005

"Autonomous variant 5 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity9-37 qb

Circuit Synthesis #1006

"Autonomous variant 6 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity10-38 qb

Circuit Synthesis #1007

"Autonomous variant 7 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity11-39 qb

Circuit Synthesis #1008

"Autonomous variant 8 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity12-40 qb

Circuit Synthesis #1009

"Autonomous variant 9 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity13-41 qb

Circuit Synthesis #1010

"Autonomous variant 10 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity4-42 qb

Circuit Synthesis #1011

"Autonomous variant 11 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity5-43 qb

Circuit Synthesis #1012

"Autonomous variant 12 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity6-44 qb

Circuit Synthesis #1013

"Autonomous variant 13 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity7-45 qb

Circuit Synthesis #1014

"Autonomous variant 14 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity8-46 qb

Circuit Synthesis #1015

"Autonomous variant 15 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity9-47 qb

Circuit Synthesis #1016

"Autonomous variant 16 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity10-48 qb

Circuit Synthesis #1017

"Autonomous variant 17 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity11-49 qb

Circuit Synthesis #1018

"Autonomous variant 18 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity12-50 qb

Circuit Synthesis #1019

"Autonomous variant 19 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity13-51 qb

Circuit Synthesis #1020

"Autonomous variant 20 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity4-52 qb

Circuit Synthesis #1021

"Autonomous variant 21 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity5-53 qb

Circuit Synthesis #1022

"Autonomous variant 22 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity6-54 qb

Circuit Synthesis #1023

"Autonomous variant 23 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity7-55 qb

Circuit Synthesis #1024

"Autonomous variant 24 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity8-56 qb

Circuit Synthesis #1025

"Autonomous variant 25 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity9-57 qb

Circuit Synthesis #1026

"Autonomous variant 26 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity10-58 qb

Circuit Synthesis #1027

"Autonomous variant 27 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity11-59 qb

Circuit Synthesis #1028

"Autonomous variant 28 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity12-60 qb

Circuit Synthesis #1029

"Autonomous variant 29 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity13-61 qb

Circuit Synthesis #1030

"Autonomous variant 30 generated via QLAB evolutionary discovery loop. Optimized for gate fidelity and depth reduction."

Capacity4-62 qb