most citedTensor-Network Formulation of the Traveling Salesman Problem and Variants

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quant-ph20261 cited

Tensor-Network Formulation of the Traveling Salesman Problem and Variants

Alejandro Mata Ali, Iñigo Perez Delgado, Aitor Moreno Fdez. de Leceta

This work presents a tensor-network formulation of the Traveling Salesman Problem (TSP) and several of its variants. The approach represents candidate tours with tensor-network lay…

quant-ph2026

Quantum-inspired Techniques in Tensor Networks for Industrial Contexts

Alejandro Mata Ali, Iñigo Perez Delgado, Aitor Moreno Fdez. de Leceta

In this paper we present a study of the applicability and feasibility of quantum-inspired algorithms and techniques in tensor networks for industrial environments and contexts, wit…

quant-ph2026

Solving Systems of Linear Equations: HHL from a Tensor Networks Perspective

Alejandro Mata Ali, Iñigo Perez Delgado, Marina Ristol Roura +2

This work presents a new approach for simulating the HHL linear systems of equations solver algorithm with tensor networks. First, a novel HHL in the qudits formalism, the generali…

quant-ph2026

Task Scheduling Optimization with Direct Constraints from a Tensor Network Perspective

Alejandro Mata Ali, Iñigo Perez Delgado, Beatriz García Markaida +1

This work presents a novel method for task optimization in industrial plants using quantum-inspired tensor network technology. This method obtains the best possible combination of…

quant-ph2025

Polynomial-time Solver of Tridiagonal QUBO, QUDO and Tensor QUDO problems with Tensor Networks

Alejandro Mata Ali, Iñigo Perez Delgado, Marina Ristol Roura +1

We present a quantum-inspired tensor network algorithm for solving tridiagonal Quadratic Unconstrained Binary Optimization (QUBO) problems and quadratic unconstrained discrete opti…

quant-ph2025

Knapsack and Shortest Path Problems Generalizations From A Quantum-Inspired Tensor Network Perspective

Sergio Muñiz Subiñas, Jorge Martínez Martín, Alejandro Mata Ali +2

In this paper, we present two tensor network quantum-inspired algorithms to solve the knapsack and the shortest path problems, and enables to solve some of its variations. These me…