Quantum
Quantum optimization. Optimization for quantum
Better circuits for today's devices and a strong classical reference for every QUBO model. Our research team designs original quantum and hybrid algorithms.
Over 50% fewer two-qubit gates than Qiskit. A million-variable QUBO answered in under 2 seconds.
Four ways to work with us
Two software products for everyday work on circuits and models, and two ways to work with our research team on your own problem. Every result is measured against strong classical methods.
- Software4colors Quantum CompilerFewer two-qubit gates and lower depth on IBM, IQM and Rigetti. Use it from Qiskit; circuits improve until your time budget is spent.Explore Quantum Compiler
- Software4colors Optimizer for QUBOQUBO and Ising models with millions of variables. A first answer on one million variables in under 2 seconds.Explore Optimizer for QUBO
- ServiceQuantum Proof of ConceptWhere could quantum make a difference for you? A strong classical baseline, tests on real quantum hardware, and what it would take to win.Explore the Quantum PoC
- ResearchQuantum Algorithm DevelopmentNew quantum and hybrid algorithms with our research team, from the model to experiments on real hardware. Airbus x BMW challenge winners.See our quantum projects
Tools for quantum teams
Two classical tools that work within the time budget you set.
4colors Quantum Compiler
Over 50% fewer two-qubit gates and over 50% lower two-qubit depth than Qiskit, in the same time. Optimize placement, routing and native gates for IBM, IQM and Rigetti targets, with calibration-aware optimization and reusable parameterized circuits.
4colors Optimizer for QUBO
One million variables: in 10 seconds, the quality other solvers need over 30 seconds to reach. Solve QUBO and Ising models within your time budget, inspect improving solutions and build stronger comparisons for quantum methods.
Quantum algorithms for industrial problems
Quantum and hybrid methods built around real optimization problems, always measured against strong classical methods.
Service
Quantum Proof of Concept
Find out where quantum computing could matter for your business: a strong classical baseline today, and a clear view of what quantum methods would need to beat it.
Research
Quantum Algorithm Development
Work with our research team on new quantum and hybrid algorithms, from the mathematical model to a working experiment.
Quantum algorithms at work
Explore all our work| Airbus x BMW challenge winner.
Integrated production and transportation
A hybrid approach brought production and transport decisions into one optimization problem.
| XPRIZE semifinalist.
Quantum advantage
An adaptive approach to combining classical and quantum optimization for demanding practical problems.
| Consortium lead with Airbus and ORCA Computing.
Aircraft loading
A 4colors-led project with Airbus and ORCA Computing tested hybrid approaches using gate-based and photonic systems.
| Airbus proof of concept.
Aerospace planning
We developed and assessed quantum-enhanced optimization approaches for production and logistics planning.
Inside quantum optimization
Explore all articles and guides- Insight
The Hidden Decisions in Quantum Circuit Compilation
A quantum circuit may say precisely what to calculate while leaving open a surprisingly large number of ways to run it.
Read the insight - Insight
What Better Quantum Compilation Buys You
Fewer gates can mean more than a tidier circuit diagram. They can change the prospects and economics of a quantum experiment.
Read the insight - Insight
QUBO Explained: A Small Model with Big Possibilities
Binary decisions and pairwise interactions can be surprisingly expressive. They are also easy to misunderstand.
Read the insight - Insight
When Might Quantum Optimization Help?
Quantum algorithms already participate in optimization. The interesting question is where they can change what a complete solver achieves.
Read the insight - Insight
What would quantum advantage actually have to beat?
A quantum result becomes meaningful when the entire computation is measured against the strongest relevant classical alternative.
Read the insight
Bring us your quantum question
A circuit, a model or a business problem: we'll suggest the right place to start.