Optimización binaria cuadrática sin restricciones (QUBO)
Desde R2023a
Muchos problemas de optimización combinatoria se pueden formular como problemas de optimización binaria cuadrática sin restricciones (QUBO). Estos problemas incluyen Traveling Salesperson Problem with QUBO, Capacitated Vehicle Routing Problem y Feature Selection QUBO (Quadratic Unconstrained Binary Optimization). Para obtener información contextual, consulte What Is a QUBO Problem?
Además, muchos computadores cuánticos actuales y propuestos utilizan QUBO (o Ising equivalente) como el tipo de problema. Para intentar una solución cuántica a un problema de optimización combinatoria, se formula un problema QUBO y luego se pasa el problema al hardware cuántico para obtener la solución. Actualmente, MATLAB® Support Package for Quantum Computing no es directamente compatible con ningún hardware cuántico para resolver problemas QUBO.
Objetos
qubo | Quadratic Unconstrained Binary Optimization |
quboResult | Result of solving QUBO problem |
tabuSearch | Tabu search algorithm for QUBO
solve |
tabuSearchResult | Result of solve for Tabu search algorithm |
qaoa | Quantum approximate optimization algorithm (QAOA) for solving QUBO problem (Desde R2024b) |
qaoaResult | Result of solving QUBO problem using QAOA (Desde R2024b) |
Funciones
evaluateObjective | Evaluate QUBO (Quadratic Unconstrained Binary Optimization) objective |
solve | Solve QUBO (Quadratic Unconstrained Binary Optimization) problem |
maxcut2qubo | Convert max-cut problem to QUBO (Quadratic Unconstrained Binary Optimization) (Desde R2024b) |
qubo2ising | Convert QUBO problem to Ising observable (Desde R2024b) |
Temas
- What Is a QUBO Problem?
This topic introduces the basics of Quadratic Unconstrained Binary Optimization (QUBO) problems.
- Workflow for QUBO Problems
Learn the steps for formulating and solving a QUBO problem.
- Constraints in QUBO Problems
Include constraints in a QUBO problem by adding penalty terms.
- Tabu Search Algorithm
Learn about the tabu search heuristic algorithm used to solve QUBO problems.
- Verify Optimality by Solving QUBO as MILP
Convert a QUBO problem to a mixed-integer linear programming (MILP) problem, and solve the problem using
intlinprog. - Traveling Salesperson Problem with QUBO
Convert a Traveling Salesperson Problem (TSP) to a QUBO problem and solve the problem.
- Capacitated Vehicle Routing Problem
Express and solve a capacitated vehicle routing problem using QUBO.
- Feature Selection QUBO (Quadratic Unconstrained Binary Optimization)
Find the most relevant predictors in a data set using a QUBO problem formulation.
Ejemplos destacados
Solve Max-Cut Problem Using QAOA
Use the Quantum Approximate Optimization Algorithm (QAOA) to solve max-cut problems.
