Quantum-inspired optimization —
built for real problems, not idealized ones.

Quicopt solves highly complex optimization problems with quantum-inspired algorithms — on standard hardware. No million-euro quantum computer. No “unsolvable”.

qubo.py
import numpy as np
from ortools.math_opt.python import mathopt
from quicopt import solve

# N binary variables, QUBO matrix Q — given
model = mathopt.Model()
x = np.array([model.add_binary_variable() for _ in range(N)])
model.minimize(x @ Q @ x)

result = solve(model)       # one call — no signup, no API key
result["objective"]         # minimized xᵀQx

Where established solvers hit a structural wall.

LPs, MILPs, and convex QPs scale to millions of variables. The wall isn’t size — it’s structure. When the Hessian is implicit, the objective is higher-order non-convex, or the cost comes from a simulator, exact methods stall, approximate, or don’t apply at all.

Implicit or dense Hessians

Smooth NLPs where Newton-class solvers stall — because the KKT system is too dense to factor, fills in catastrophically, or is only reachable through a simulator or learned model. Quicopt is purely first-order: gradients only, no Hessian, no factorization.

Higher-order, non-convex objectives

Degree-3+ polynomials and non-smooth logic don’t fit MILP/MIQP solvers natively. They require either massive auxiliary-variable reformulations or piecewise approximations that quietly change the problem. Quicopt solves the original objective directly.

Black-box objectives

When cost comes from a simulator, digital twin, or ERP model — not a formula — gradients and branch-and-bound proofs don’t apply at all. Quicopt works from input–output evaluations.

Quantum computers: €10–20 million

Real QPUs aren’t production-ready and cost tens of millions. Quicopt delivers quantum-inspired performance on standard hardware — today.

Your problem. Our solver. Your result.

How Quicopt works

01

Problem modeling

Your optimization problem is translated into quantum-ready form. Our team handles the modeling.

02

Quantum-Inspired Solving

Our algorithms run on standard hardware. No quantum computer needed — full performance today.

03

Integration & Output

Results via REST API, CSV or directly into your ERP. No black box — full traceability.

04

Quantum-Ready

Our modeling framework is hardware-agnostic. Migration to QPUs without reformulation.

Where others give up, Quicopt starts.

10×
Faster solution time for 40 price tiers (10s → 1s)
50×
Faster solution time for 80 price tiers (600s → 12s)
API
Integration into existing systems — no infrastructure change
Active Pilot · Electronics & EMS

“We had implemented our procurement optimization with CP-SAT, but the runtime wasn’t acceptable under our hardware constraints. Quicopt gave us results up to 50× faster — and integrated directly into our workflow.”

European electronics scale-up · Multi-supplier BOM optimization with price tiers
10s → 1s
Solution time for 40 price tiers (10× faster)
600s → 12s
Solution time for 80 price tiers (50× faster)

Where Quicopt earns its place.

Four application areas where the structural advantages above translate directly into faster, sharper solutions.

Electronics & EMS

Multi-supplier BOM with thousands of parts and volume-tier pricing. Quicopt's domain-specific presolve exploits the natural structure of sourcing problems — BOM hierarchy, demand independence, supplier overlap — to shrink the search space dramatically before solving. On our active pilot: 10–50× faster than CP-SAT.

Power systems

AC optimal power flow is non-convex by physics — sinusoidal power-flow equations break QP relaxations. Grid topology optimization adds binary switch decisions, making the problem MINLP even in the DC linearization. Quicopt handles both natively, with no convex relaxation.

Process & metals

Blending, pooling, and recipe optimization with bilinear or higher-order terms — concentration × flow, yield × throughput, alloy composition. Exact global solvers (BARON, SCIP, Couenne) prove optimality on small instances but scale poorly; Quicopt delivers high-quality primal solutions on full-plant models in seconds.

QUBO, PUBO & HUBO

The native input format of quantum and quantum-inspired solvers. Quicopt solves binary problems of arbitrary polynomial degree directly — no reduction of higher-order terms to quadratic, no auxiliary-variable blow-up that today's QPUs require. Competitive with current quantum hardware at the problem sizes that actually matter — and it runs on a laptop.

Quicopt Compared

Real benchmark results against established solvers and quantum hardware.

Compared toProblem typeQuicopt advantageKey insight
GurobiQCQPUp to 100× faster, better solutionsNo reformulation needed — Quicopt solves LABS natively
CP-SAT (OR-Tools)Real-world MILPUp to 50× fasterActive pilot with European electronics scale-up
Simulated BifurcationQUBOUp to 10× lower avoidable costBetter solution quality, not just speed
D-Wave (QPU)QUBOComparable resultsNo qubit count or graph connectivity limits

* Results from internal benchmarks. Performance varies by problem instance and size. The Gurobi comparison was performed on LABS instances from the QOBLIB dataset. We always recommend a direct test with your data. (QOBLIB)

Quantum performance. Without the quantum price.

Real quantum computers are fascinating — but €10–20M, not production-ready, and not yet scalable for your problems. Quicopt delivers today.

QuicoptAvailable today
  • Standard hardware — PC, server or cloud. No special infrastructure.
  • Production-ready — Pilot running. Measurable results, real integration.
  • Scalable today — Thousands of variables, real constraints, productive use.
  • SaaS pricing — Monthly subscription, no CapEx, cancel anytime.
  • Quantum-Ready — Quantum-inspired framework migrates directly to QPUs when production-ready.
Real Quantum Computer (QPU)Not production-ready
  • €10–20 million — Hardware investment before a single line of code runs.
  • Still experimental — Current QPUs are too error-prone for production.
  • Qubit limitation — Industrial problems far exceed today’s qubit count.
  • Cryo infrastructure — Operation near absolute zero — complex and expensive.
  • No SaaS — High integration and operational effort for every application.

Scientific foundation. Commercial execution.

  • 1
    Quantum-inspired algorithms Hyper-efficient heuristics on classical hardware — no QPU required.
  • 2
    Quantum-inspired framework Hardware-agnostic. Runs on CPU/GPU today, QPU tomorrow — no reformulation needed.
  • 3
    Strength at high complexity Scales with thousands of variables where established solvers need multi-hour runtimes.
  • 4
    Research base PGI-12 / FZJ Developed at the Institute for Quantum Computing Analytics (PGI-12), Forschungszentrum Jülich.
  • 5
    Peer-reviewed Methodology published in PRX Quantum, Physical Review A and further refereed journals.
Problem types
From MILP to MINLP, we have all problem types covered
Combinatorial and continuous optimization, mixed-integer programs
Infrastructure
PC · Server · Cloud · GPU
No quantum computer required
Integration
REST API · SDK · CSV
Direct integration into ERP and existing workflows
Future-proof
Quantum-Ready
Quantum-inspired models migrate directly to QPUs — without reformulation

Our Origin

Built on decades of research excellence in mathematical optimization.

Quicopt is a spin-off from Forschungszentrum Jülich, one of Europe’s largest interdisciplinary research centers. Backed by Helmholtz Enterprise, we translate cutting-edge research into industrial-grade optimization solutions.

Our team combines deep expertise in quantum computing, mathematical optimization, and high-performance computing. We deliver algorithms that are not just theoretically sound, but proven in real-world applications.

Backed by

Helmholtz AssociationForschungszentrum Jülich

See Quicopt on your own problem.

No generic scenario — we compute with your real data.

Request Live Demo

Whether you have a specific optimization problem or want to explore what’s possible — reach out.

Jülich, Germany