Optimizing delivery routes at quantum speed

Quantum-Powered Path Optimization for Smarter Deliveries

Harness QAOA and hybrid computing to find optimal delivery routes in real time. Experience the future of logistics optimization today.

Live Demo Active

Showing quantum vs classical optimization results for 5 delivery stops. Quantum achieves 12.7% better efficiency!

Interactive Route MapDemo Active

How to use the demo:

Add Stops: Click anywhere on the map to add a delivery location.
Add Hub: Click the button, then click the map to add a hub.
Optimize: Once you have at least 1 hub and 2 stops, click "Run Optimization".
Interact: Drag stops to move them, or click the trash icon to remove them.

Hubs & Stops

Click to add new hubs

Hubs (2)

Hub 116.5062, 80.6480

Hub 216.5500, 80.7000

Stops (6)

Electronics Store16.5150, 80.6550

Pharmacy16.4980, 80.6420

Grocery Market16.5100, 80.6350

Restaurant16.5220, 80.6510

Hardware Store16.5400, 80.7100

Bookstore16.5600, 80.6900

Click map to add stops

Advanced Parameters

Enable QAOA

QAOA Depth (p)2

Higher values may find better solutions but take longer

Shots1,024

More shots improve accuracy but increase runtime

Classical Optimizer

Quantum Backend

Constraint Penalties

Position (A)

City (B)

Higher penalties enforce constraints more strictly

Live Simulation

Speed

Results (3)

HAWS-QAOA p=3

Valid

Distance: 23.4 km

1847ms

Nearest Neighbor + 2-opt

Valid

Distance: 26.8 km

67ms

Simulated Annealing

Valid

Distance: 25.1 km

234ms

Liked routes: 0

AI Route Advisor

Understand why the quantum solver chose this specific route.

Best Classical:25.1 km

Best Overall:23.4 km

Quantum Advantage:6.8%

Performance Analytics

6.8% Quantum Advantage3 Algorithms Compared

Distance vs Runtime

Solution Quality

23.4

Best Quantum (km)

25.1

Best Classical (km)

6.8%

Improvement

Fastest (ms)

Turn-by-Turn Navigation

0.0 km

0 min

HAWS-QAOA p=3

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Environmental Impact Analysis

Carbon footprint and sustainability metrics for optimized routes

Environmental Impact Calculator

6.8% CO₂ Reduction⛽ Diesel Van

Vehicle Type:

CO₂ Emissions by Algorithm

Quantum Environmental Benefit

0.43

CO₂ Saved (kg)

₹31.05

Fuel Cost Saved

0.0

Trees Equivalent

6.8%

Reduction

The Delivery Routing Problem

Inefficient routing costs businesses billions annually. Traditional algorithms struggle with complex optimization landscapes that quantum computing can navigate.

Time Waste

Poor routing increases delivery times by 20-40%, leading to customer dissatisfaction and operational inefficiency.

Higher Costs

Suboptimal routes mean more fuel consumption, vehicle wear, and driver overtime, directly impacting profit margins.

Scalability Issues

Classical algorithms hit computational walls with complex routing scenarios, limiting business growth potential.

How QuantaPath Works

Our hybrid quantum-classical approach combines the best of both worlds for superior route optimization performance.

Input Stops

Add delivery locations via address or map clicks

Distance Matrix

Build matrix using Google Maps or OpenRoute API

QUBO + QAOA

Formulate as quantum optimization problem

Compare

Benchmark against classical baselines

Optimal Route

Visualize and export the best path

Advanced Features

Explore advanced quantum optimization parameters, algorithm comparisons, and detailed performance analytics.

Quantum Parameters

Fine-tune QAOA depth, shots, and optimization methods for different problem sizes and requirements.

Algorithm Comparison

Compare quantum HAWS-QAOA against classical methods like Simulated Annealing and Nearest Neighbor.

Real-time Navigation

Get turn-by-turn directions with accurate timing using OpenRouteService integration.

Benchmark Results

Comprehensive performance analysis of quantum vs classical algorithms

Benchmark Results

Algorithm Performance Analysis

Comprehensive comparison of HAWS-QAOA against traditional optimization methods, showcasing quantum advantage in route planning

Algorithm Efficiency ComparisonLive Benchmarks

Comprehensive performance analysis across solution quality, runtime, and scalability metrics

Performance Overview

Comparing quantum and classical algorithms across key metrics.

Environmental Impact & Sustainability

Discover how quantum optimization reduces carbon footprint and drives sustainable logistics operations

Environmental Impact Calculator

Run optimization to see environmental impact analysis

Quantum Enterprise Suite

Next-generation tools integrating AI, 3D visualization, and deep analytics.

AI Logistics Copilot

Hello! I am your AI Logistics Copilot. I can explain route decisions, predict delays, and provide optimization insights. How can I help you today?

3D Logistics Digital Twin

Multi-Objective Optimizer

Adjust sliders to see trade-offs in route optimization

time50%

cost50%

fuel50%

co250%

safety50%

Scenario Simulator

"What If?" environment testing for automatic route re-optimization

Heavy Traffic

Simulate rush hour congestion

Adverse Weather

Rain/Snow delaying routes

Road Closures

Unexpected blocks on primary paths

Vehicle Failure

Simulate breakdown & re-allocation

Quantum Analytics Dashboard

Convergence, approximation ratio, and execution time

Cost Convergence

Execution Time (ms)

Algorithm Battle Arena

Live comparison of optimization algorithms

HAWS-QAOA

Score: 98.0 1.2s 45km

Optimal

Simulated Annealing

Score: 85.0 2.5s 48km

Competitive

Tabu Search

Score: 82.0 3.1s 49km

Competitive

Genetic Algorithm

Score: 80.0 4.0s 51km

Sub-optimal

Ant Colony

Score: 75.0 5.2s 55km

Sub-optimal

Nearest Neighbor

Score: 60.0 0.1s 65km

Sub-optimal

Explainable Quantum AI

Insights into optimization reasoning and confidence scores

Overall Confidence

94.2%

Based on CVaR sampling

Constraint Violations

All hard constraints met

Entanglement Impact

High

Strong global correlations found

Edge Importance (Decision Reasoning)

Warehouse A → Sector 488% importance

Crucial link to bypass major traffic artery

Sector 4 → Delivery Hub B75% importance

Optimized for EV battery constraints

Delivery Hub B → Sector 945% importance

Standard route, low variability

Sustainability Dashboard

Environmental impact and ESG metrics

CO₂ Emissions

2.4t

-12% vs last month (Quantum optimized)

Fuel Usage

840 L

-8% via route consolidation

ESG Score

A-Top 15% in Logistics

Emissions Breakdown (kg CO₂)

Vehicle Fleet (Diesel)

Vehicle Fleet (EV)

Warehouse Operations

Fleet Command Center

Live enterprise vehicle tracking and KPI overview

Active Vehicles

89%

On-Time Rate

Critical Alerts

1,240

Deliveries Today

Vehicle ID	Status	Driver	ETA	Fuel/Battery
V-104	In Transit	A. Smith	14:30	68%
V-209	Delayed	M. Johnson	15:45	42%
EV-03	Charging	S. Lee	N/A	98% (Bat)
V-112	Delivered	J. Davis	12:15	21%

Research & Benchmark Mode

Deep statistical comparisons and exportable reports for academia/enterprise

Statistical Summary (n=1000 runs)

Mean Optimality Gap2.1%

Standard Deviation0.45

P-Value (vs Classical SA)< 0.001

Scalability Limit120 Nodes

Ablation Studies

w/o Warm Start (QAOA Base)-15% performance

w/o CVaR Sampling-8% convergence rate

w/o Classical Post-processing-22% solution quality

Real-World Applications

QuantaPath optimizes routes across diverse industries and use cases

Last-Mile Delivery

Optimize final delivery routes for e-commerce and logistics companies

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Food Delivery

Minimize delivery times for restaurants and food service platforms

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Field Services

Schedule technician visits and maintenance calls efficiently

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Campus Shuttles

Optimize shuttle routes for universities and corporate campuses