TQopt: Quantum-Enhanced Optimization
TQopt is Terra Quantum's advanced optimization toolkit that leverages physics-inspired algorithms and hybrid quantum-classical approaches to solve intricate, high-dimensional combinatorial problems efficiently and accurately.
Empowering Businesses with TQopt
By utilizing cutting-edge heuristics and quantum methods, TQopt empowers businesses to:
- Handle complex, multi-variable constraints in real-world scenarios
- Discover optimal solutions in logistics, finance, and operations
- Adapt quickly to conditions in changing environments
Why TQopt
By utilizing cutting-edge heuristics and quantum methods, TQopt empowers businesses to:
Better Problem Solving
Handle intricate, multi-variable constraints effortlessly with TQopt, which excels at navigating vast and complex solution spaces for optimal outcome
Superior Performance
Simulate systems with exponentially faster runtimes compared to traditional methods
Scalability
Benefit from physics-driven techniques today on classical hardware, seamlessly adapting to the evolving quantum hardware
Versatility
Tackle a wide range of optimization problems, from routing and scheduling to resource allocation and portfolio optimization
In the TQopt Toolbox
Quantum-inspired tools built to tackle complex optimization challenges efficiently.
- Customized optimization strategies specifically tailored for distinct problem domains
- Seamless integration of domain expertise into the design and development of algorithms
- Ongoing refinement and adaptation based on deep, problem-specific insights and feedback
- Implementation of quantum and quantum-inspired optimization techniques
- Designed to leverage near-term hardware for enhanced problem-solving
- Hybrid quantum-classical approaches for optimal performance
- Extensive library of physics-inspired heuristics for unconstrained and constrained binary optimization, including tensor networks and quantum annealing
- Efficient handling of complex constraints and objective functions
- Adaptable to various problem types
Key Features
TQopt brings together physics-inspired methods and quantum-ready architecture to solve real-world optimization problems with speed, scale, and flexibility.

Cutting-edge Physics-Inspired Optimization Framework
Combines classical tensor methods with quantum algorithms to deliver high-performance optimization, continuously enhanced by active R&D.
- Combines tensor methods with true quantum algorithms
- Continuously updated with latest research from our world-class R&D team

Quantum-Ready Architecture
Built to transition smoothly from classical to quantum computing, ensuring future-ready performance.
- Algorithms designed to leverage quantum hardware as it becomes available
- Hybrid quantum-classical approaches for near-term quantum advantage
- Seamless transition path from classical to quantum implementations

Scalable Performance
Designed to scale efficiently with growing complexity and computing environments.
- Efficient parallelization for distributed computing environments
- Algorithms designed to scale with problem size and complexity
- Automatic parameter tuning for optimal performance
- Benchmarked against state-of-the-art classical solvers

Flexible Problem Formulation
Adapts to diverse optimization challenges with customizable, robust algorithms.
- Support for a wide range of optimization problem types
- Easy integration of custom objective functions and constraints
- Adaptive algorithms that adjust to problem-specific structures
- Capability to handle both discrete and continuous variables
Benefits of TQopt versus Classical Optimization Approaches
TQopt's hybrid quantum-classical approach offers significant advantages over traditional optimization methods:
- Discover better solutions in highly non-convex landscapes
- Navigate complex constraint spaces more effectively
- Uncover non-obvious optima that elude traditional methods
- Escape local minima more efficiently using quantum-inspired fluctuations
- Accelerate convergence in high-dimensional problem spaces
- Reduce the number of iterations required to reach high-quality solutions
- Excel in solving NP-hard problems like vehicle routing or portfolio optimization
- Efficiently handle binary and integer variables in mixed-integer programming
- Outperform classical methods in combinatorial explosion scenarios
- Automatically reformulate problems to leverage quantum and quantum-inspired advantages
- Dynamically adjust optimization strategies based on problem structure
- Seamlessly switch between continuous and discrete optimization techniques as needed
- Benefit from quantum-inspired speedups today on classical hardware
- Easily transition to quantum hardware as it becomes available, with minimal changes to problem formulation
- Future-proof your optimization workflows with quantum-compatible algorithms
Example Problem Types and Applications
TQopt excels in solving complex optimization problems across various industries. Here are examples of key problem types:
- Optimized routes for reduced operational costs and improved resource allocation
- Increased profitability and faster time to solution
- Improved delivery times through efficient route planning
- Optimizing EV charging and fleet management
- Efficient solution for large-scale vehicle-to-grid integration challenges
- Improved resource utilization and reduced operational costs for EV fleets
- Optimizing collateral allocation across large portfolios
- Minimizing capital requirements for derivatives exposure
- Maximizing liquidity while meeting regulatory constraints
- Solving complex scheduling problems
- Network optimization for telecommunications
- Resource allocation in constrained environments
TQopt Case Study
Challenge
A leading global energy company, sought to optimize its complex LNG (Liquefied Natural Gas) shipping operations.
The challenge involved optimizing routes, contract selections, and ship utilization across a global network, considering volatile market conditions and numerous operational constraints.
Solution
Terra Quantum implemented a cutting-edge Hybrid Quantum Optimization method using TQopt. We developed an innovative multi-stage optimization algorithm that could:
- Efficiently navigate the vast solution space of possible shipping routes and contracts
- Integrate complex constraints such as ship capacities, port availabilities, and delivery windows
- Dynamically optimize decisions based on changing market conditions
Results
- Over 30% expected increase in annual value through optimal contract selection and timing
- Outperformed previous heuristics, generating superior solutions in under 7 minutes
- Successfully integrated propulsion mode decisions for additional efficiency gains
- 7% reduction in empty miles across the fleet compared to benchmark methods
Impact
The TQopt-powered solution significantly enhanced their ability to:
- Capitalize on high-value shipping opportunities in a dynamic global market
- Reduce operational costs through more efficient route planning and ship utilization
- Improve decision-making speed and quality in a complex, time-sensitive environment- Strengthen their competitive position in the global energy market
Meet Our Experts in Optimization
Our team of applied researchers brings cutting-edge methods to tackle today’s toughest optimization challenges—accelerating solutions across industries.

Dr. Margarita Veshchezerova
At Terra Quantum, we blend state-of-the-art research with tailored, problem-specific approaches to deliver optimal solutions for complex optimization challenges. Our unique expertise in physics-informed heuristics enriches our toolkit with innovative techniques that enhance solution quality and reduce computation time in logistics, energy and natural resource management industries. With TQOpt, we shorten the modeling and solution cycle by providing easy access to a rich library of optimization algorithms.
Accessing TQopt
TQopt leverages advanced mathematical structures and physics-driven algorithms to tackle complex optimization problems with unprecedented efficiency:

Work with Our Experts for Custom Development Services
- Collaborate with our optimization specialists to address your specific challenges
- Benefit from tailored solutions that integrate seamlessly with your existing processes
- Receive ongoing support and optimization as your needs evolve

Self-Service Access through TQ42
- Access optimization algorithms such as QuEnc on TQ42, via Command Line Interface (CLI) or Python SDK
- Benefit from the scalability and security of our cloud-based platform