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Part of the Equinox Group · Malta, EU · Mauritius, Africa
equinoxgroup.eu

Practice area · Quantum and hybrid optimisation

Solve the impossible. Today.

We formulate your hardest scheduling, routing, allocation and simulation problems for quantum annealing and run them on D-Wave’s Advantage2 system through the Leap cloud service, side by side with the best classical solvers. Quantum goes into production only where it beats the classical baseline on your data.

Quantum annealingHybrid quantum-classical solversQUBO and Ising modelsScheduling and routingPortfolio optimisationMaterials simulation

Where it applies

Engineered for high-stakes complexity

Classical solvers struggle as combinatorial problems grow. Quantum annealing maps discrete decisions onto a physical energy landscape and samples its lowest-energy states, which makes it a strong candidate for the problems below.

01

Logistics and routing

Fleet routing that raises utilisation and cuts empty miles, multi-modal network balancing, and re-planning of warehousing, inventory and distribution when supply is disrupted. Traffic-flow models for congested city grids and autonomous fleets.

02

Workforce, plant and robot scheduling

Shift rotations that respect skills, certifications, agreements and sudden absences; production lines sequenced for less idle time and fewer tool changes; coordinated paths for robots and AGVs without deadlocks or collisions.

03

Portfolio and financial optimisation

Asset selection, index tracking, rebalancing and tax-loss harvesting formulated as QUBO models, with transaction costs, lot sizes and liquidity constraints built into the model rather than added afterwards.

04

Materials and physical simulation

Magnetic and spin-glass models, phase transitions and other many-body systems simulated natively on the annealer, to narrow down what is worth making before anything goes to the lab.

05

Drug discovery and machine learning

Conformer search and candidate screening for drug discovery, and quantum sampling inside machine-learning pipelines, such as feature selection and training generative models over rugged search spaces.

How it runs

From pure quantum to enterprise hybrid workflows

We map each discrete decision to the qubit biases and couplings of a QUBO or Ising model. Which part runs on the quantum processor, which on classical hardware, is decided by benchmark on your data, not by preference.

Pure quantum optimisation

Scheduling, routing and allocation problems that fit the processor are embedded directly on the Advantage2 QPU, which returns low-energy candidate solutions in milliseconds.

Hybrid workflows

Enterprise-scale problems run on D-Wave’s hybrid solvers, which pair classical algorithms with QPU sampling. The nonlinear hybrid solver handles up to two million variables and constraints.

Fast anneal and dynamics

Fast-anneal control keeps the anneal coherent for research into non-equilibrium physics and spin-glass models, and for rapid sampling.

A classical baseline, always

Every problem is also solved with the strongest classical method we can find: mixed-integer programming, constraint programming, heuristics or GPU solvers. You see both results side by side.

The platform

D-Wave first, never D-Wave only

Our default stack is D-Wave’s Advantage2 annealer, reached in real time through the Leap cloud service and programmed in Python with the open-source Ocean SDK. You need no cryogenics lab and no hardware on site. Because we are vendor-neutral, your models stay portable: if another annealer, a gate-model machine or a classical solver gives the better answer, that is what we deploy.

D-Wave, Advantage2, Leap and Ocean are trademarks of D-Wave Quantum Inc. We use D-Wave’s services as a customer; Algorithmic BrAIn is not affiliated with or endorsed by D-Wave.

  • Real-time access to Advantage2 quantum processors and hybrid solvers through Leap
  • Problem formulations written in Ocean and kept under your own version control
  • Quantum calls integrated into your existing stack through APIs, from SAP to AWS and Azure pipelines
  • Automatic fallback to classical solvers, so operations never depend on one machine
  • Dedicated on-premise annealing systems, available from D-Wave where data cannot leave the site

Evidence

Results, with the names left out

Our clients are protected by our strict, standard non-disclosure agreements, so we are unable to disclose them publicly, even because of our anti-phishing cybersecurity policies. Each result is therefore described by sector and scale only, and benchmarked against the classical baseline agreed with each respective client at the start.

Mid-cap investment bank, EU

Portfolio allocation

Portfolio construction under real constraints such as transaction costs, lot sizes and liquidity, formulated as a quadratic model and solved with hybrid quantum-classical solvers alongside the bank’s existing optimiser.

Result

[CLIENT-SUPPLIED]

Logistics operator, Malta

Route planning

Daily fleet route planning across a dense island network, formulated so delivery windows and vehicle limits are enforced, and run as a hybrid workflow against the existing planning baseline.

Result

[CLIENT-SUPPLIED]

Small car-parts manufacturer

Operations optimisation

Production scheduling and line sequencing to cut idle time and tool changes, modelled as a constrained optimisation problem and benchmarked against the plant’s current planning method.

Result

[CLIENT-SUPPLIED]

How we engage

Your path to quantum integration

Every engagement starts with a problem and a classical baseline, and moves forward only when the numbers justify it.

1Weeks

Discovery and formulation

Our quantum applications team works with your data scientists to find the bottlenecks worth solving and formulates them as QUBO, Ising or constrained quadratic models.

You receive

  • A shortlist of problems scored by value and quantum fit
  • A formal model of each problem
  • Classical baseline results to beat
2Weeks to months

Hybrid prototyping

We run the model on Leap with your real data and benchmark it side by side against your current classical and GPU solvers.

You receive

  • A working hybrid prototype
  • A benchmark report on solution quality, time and cost
  • A go or no-go recommendation
3Ongoing

Production deployment

We integrate quantum calls into your operational software for automated, continuous optimisation, and monitor quality and cost.

You receive

  • Production integration with monitoring and classical fallback
  • Runbooks, documentation and training
  • A QPU usage and cost model

Stop approximating. Start optimising.

Bring us the decision your current solver struggles with. We will tell you honestly whether quantum annealing can improve on it, and prove it on your data.