> ## Documentation Index > Fetch the complete documentation index at: https://docs.classiq.io/llms.txt > Use this file to discover all available pages before exploring further. # Overview Real-world applications implemented in Classiq's Qmod, grouped by domain. ## Automotive * [Quantum Simulation-Based Optimization (QuSO) of a Cooling System](/explore/applications/automotive/cooling_systems_optimization/cooling_systems_optimization) ## Benchmarking * [Quantum Volume](/explore/applications/benchmarking/quantum_volume/quantum_volume) * [Randomized Benchmarking](/explore/applications/benchmarking/randomized_benchmarking/randomized_benchmarking) ## CFD * [Chebyshev approximation of the inverse function](/explore/applications/CFD/QLS_for_hybrid_solvers/chebyshev_approximation) * [Quantum linear solver with LCU of Chebyshev polynomials](/explore/applications/CFD/QLS_for_hybrid_solvers/qls_chebyshev_lcu) * [Quantum linear solver based on QSVT](/explore/applications/CFD/QLS_for_hybrid_solvers/qls_qsvt) * [Block Encoding Verification](/explore/applications/CFD/QLS_for_hybrid_solvers/verify_block_encoding) * [Quantum Double Slit Experiment](/explore/applications/CFD/double_slit_experiment/quantum_double_slit_experiment) * [Quantum Algorithm for Solving The 1D Heat Equation](/explore/applications/CFD/heat_eq_qsvt/heat_eq_qsvt) * [Quantum Lattice Boltzmann Method](/explore/applications/CFD/qlbm/qlbm) ## Chemistry * [Classiq Chemistry Application](/explore/applications/chemistry/classiq_chemistry_application/classiq_chemistry_application) * [Creating a Molecule's Potential Energy Curve](/explore/applications/chemistry/molecular_energy_curve/molecular_energy_curve) * [Molecule Eigensolver (VQE Method)](/explore/applications/chemistry/molecule_eigensolver/molecule_eigensolver) * [Projected Based Embedding Tutorial](/explore/applications/chemistry/projection_based_embedding/projected_based_embedding_tutorial) * [Protein Folding Algorithm](/explore/applications/chemistry/protein_folding/protein_folding_with_qaoa/protein_folding) * [QFold: Quantum Walks and Deep Learning to Solve Protein Folding](/explore/applications/chemistry/protein_folding/protein_folding_with_quantum_walk/qfold) * [Quantum Phase Estimation (QPE) for Solving Molecular Energies](/explore/applications/chemistry/qpe_for_molecules/qpe_for_molecules) * [Quantum Drude Oscillator](/explore/applications/chemistry/quantum_drude_oscillator/quantum_drude_oscillator) * [Continuous-Time Quantum Walk in Photosynthetic Energy Transfer](/explore/applications/chemistry/quantum_walk_fmo/quantum_walk_fmo) * [Second Quantized Hamiltonian](/explore/applications/chemistry/second_quantized_hamiltonian/second_quantized_hamiltonian) * [Even more efficient quantum computations of chemistry through tensor hypercontraction](/explore/applications/chemistry/tensor_hypercontraction/tensor_hypercontraction) ## Cybersecurity * [Vertex Cover Link Monitoring for IoT-Enabled Wireless Sensor Networks](/explore/applications/cybersecurity/link_monitoring/link_monitoring) * [Cybersecurity Vertex Cover Patch Management Challenge for Tackling Kill Chains](/explore/applications/cybersecurity/patching_management/patch_min_vertex_cover) * [Using Quantum Computers to Boost Whitebox Fuzzing](/explore/applications/cybersecurity/whitebox_fuzzing/whitebox_fuzzing) ## Finance * [Prepare Partial Exponential State](/explore/applications/finance/autocallable_options/partial_exponential_state_preparation) * [Autocallables with Integration Amplitude Loading](/explore/applications/finance/autocallable_options/quantum_autocallable_option_pricing) * [Stochastic Modeling of Brownian Motion](/explore/applications/finance/brownian_chebyshev_polynomials/brownian_chebyshev_polynomials) * [Quantum Kernels and Support Vector Machines](/explore/applications/finance/credit_card_fraud/credit_card_fraud) * [Portfolio Optimization with Hybrid HHL Algorithm](/explore/applications/finance/hybrid_hhl_for_portfolio_optimization/portfolio_optimization_with_hhl) * [Estimating European Option Price Using Amplitude Estimation](/explore/applications/finance/option_pricing/option_pricing) * [Portfolio Optimization with the Quantum Approximate Optimization Algorithm (QAOA)](/explore/applications/finance/portfolio_optimization/portfolio_optimization) * [Quantum computational finance: quantum algorithm for portfolio optimization](/explore/applications/finance/portfolio_optimization_hhl/HHL_portfolio) * [Rainbow Options with Brute-force Methodology](/explore/applications/finance/rainbow_options/rainbow_options_bruteforce_method) * [Rainbow Options with Direct Amplitude Loading](/explore/applications/finance/rainbow_options/rainbow_options_direct_method) * [Rainbow Options with Integration](/explore/applications/finance/rainbow_options/rainbow_options_integration_method) * [Value at Risk](/explore/applications/finance/value_at_risk/value_at_risk) ## Image Processing * [Quantum Hadamard Edge Detection for Image Processing](/explore/applications/image_processing/quantum_hadamard_edge_detection/quantum_image_edge_detection) ## Logistics * [Facility Location Problem (P-median)](/explore/applications/logistics/facility_location/facility_location) * [Workflow Scheduling Problem](/explore/applications/logistics/task_scheduling_problem/task_scheduling_problem) * [Travelling Salesman Problem](/explore/applications/logistics/traveling_salesman_problem/traveling_salesman_problem) * [Vehicle Routing Problem (VRP)](/explore/applications/logistics/vehicle_routing_problem/vehicle_routing_problem) ## Optimization * [ADAPT QAOA](/explore/applications/optimization/adapt_qaoa/adapt_qaoa) * [Electric Grid Optimization using QAOA](/explore/applications/optimization/electric_grid_optimization/electric_grid_optimization) * [Integer Linear Programming](/explore/applications/optimization/integer_linear_programming/integer_linear_programming) * [Kidney Exchange QAOA Example](/explore/applications/optimization/kidney_exchange/kidney_exchange_problem) * [Evidence of Scaling Advantage for the QAOA Algorithm on a Classically Intractable Problem](/explore/applications/optimization/low_autocorrelation_binary_sequences_problem/evidence_scaling_labs) * [Max Clique Problem](/explore/applications/optimization/max_clique/max_clique) * [Max Independent Set](/explore/applications/optimization/max_independent_set/max_independent_set) * [Max Colorable Induced Subgraph Problem](/explore/applications/optimization/max_induced_k_color_subgraph/max_induced_k_color_subgraph) * [Max K-Vertex Cover](/explore/applications/optimization/max_k_vertex_cover/max_k_vertex_cover) * [Min Graph Coloring Problem](/explore/applications/optimization/min_graph_coloring/min_graph_coloring) * [Minimum Dominating Set (MDS) Problem](/explore/applications/optimization/minimum_dominating_set/minimum_dominating_set) * [Hybrid Classical-Quantum Simulation of MaxCut using QAOA-in-QAOA](/explore/applications/optimization/qaoa_in_qaoa/qaoa_in_qaoa) * [Solving the Rectangles Packing problem with Classiq](/explore/applications/optimization/rectangles_packing/rectangles_packing_grid) * [Quantum computation for robot posture optimization](/explore/applications/optimization/robust_posture_optimization/robust_posture_optimization) * [Set Cover Problem](/explore/applications/optimization/set_cover/set_cover) * [Number Partition Problem](/explore/applications/optimization/set_partition/set_partition) * [Variational Quantum Imaginary Time Evolution (VarQITE) for Combinatorial Problems](/explore/applications/optimization/variational_quantum_imaginary_time_evolution/variational_quantum_imaginary_time_evolution) ## Physical Systems * [One-Dimensional Fermi-Hubbard Model](/explore/applications/physical_systems/fermi_hubbard_model_1D/fermi_hubbard_1D) * [Solve Differential Equations of the Lanchester Model with HHL](/explore/applications/physical_systems/hhl_lanchester/hhl_lanchester) * [Ising Model](/explore/applications/physical_systems/ising_model/ising_model) * [Simulation of the 2D Maxwell Equation using Quantum Hamiltonian Simulation](/explore/applications/physical_systems/maxwell_equation/maxwell_2d_simulation) * [The Quantum Sawtooth Map](/explore/applications/physical_systems/quantum_chaos/quantum_sawtooth_map) ## Plasma * [Quantum Simulation of Linear Kinetic Plasma Models](/explore/applications/plasma/vlasov_ampere/vlasov_ampere) * [Quantum Simulation of Linear Kinetic Plasma Models (Qiskit)](/explore/applications/plasma/vlasov_ampere/vlasov_ampere_qiskit) ## Telecom * [Network Traffic Optimization with QAOA](/explore/applications/telecom/network_traffic_optimization/network_traffic_optimization) * [Radio Access Network](/explore/applications/telecom/radio_access_network/radio_access_network_positioning_antennas) * [Quantum-Based Resiliency Planning](/explore/applications/telecom/resiliency_planning/resiliency_planning) * [Quantum-Based Resiliency Planning with AMD GPU Simulation](/explore/applications/telecom/resiliency_planning/resiliency_planning_AMD)