Quantum Algorithm Development
New quantum algorithms, developed and tested
Our research team designs original quantum and hybrid algorithms for your problem. We test each one against strong classical methods.
Airbus x BMW Quantum-Powered Logistics winner and XPRIZE Quantum Applications semifinalist.
From mathematical model to experiment
Every project runs through four stages, with the classical comparison built in from the start. You see what each stage found before the next begins, and the final comparison shows where a quantum or hybrid method helps, and where a strong classical method still leads.
- 01
Algorithm design:
Build quantum routines and hybrid methods around the problem structure.
- 02
Implementation:
Develop executable circuits and the classical search and control they require.
- 03
Hardware evaluation:
Test on available devices with their real connectivity, gates and execution costs.
- 04
Computational comparison:
Examine solution quality and resources against capable classical methods.
Research with a practical aim
Algorithm Development is for teams that need a method no product offers yet.
We work with R&D groups, hardware teams and research consortia. Each project starts from a defined question and ends with working code and an honest comparison.
What you get
Original methods
Quantum and hybrid algorithms designed around the structure of your problem.
Working code
Executable circuits plus the classical search and control around them.
Hardware-aware design
Circuits matched to the connectivity and native gates of the devices you target.
Classical reference
Results set against the 4colors Optimizer and other strong classical methods.
Three ways to work together
The format follows the question, the partners and the funding.
Start small
Proof of concept
A focused study of one problem: the classical baseline, candidate quantum methods and what they would need to beat it.
Go deeper
Research partnership
A joint program with your R&D team: shared questions, shared code and regular reviews of the results.
Go further
Funded consortium
Grant-funded projects with industrial and hardware partners, led or joined by 4colors.
A new algorithm earns its place by what it does against the best classical method on the same problem.
Algorithms at work
Explore all our projects| 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.
| 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.
Ideas behind the algorithms
Explore all articles and guides- 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 Is Quantum Optimization, and Where Does Classical Computing Fit?
Quantum optimization is a family of algorithmic approaches, not one formulation or one kind of machine.
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 - 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
Develop an algorithm with us
Tell us the problem and the hardware you have in mind, and we'll propose a first experiment.