3 papers
quant-ph2023
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…
cs.LG2023
Efficient Finite Initialization with Partial Norms for Tensorized Neural Networks and Tensor Networks Algorithms
Alejandro Mata Ali, Iñigo Perez Delgado, Marina Ristol Roura +1
We present two algorithms to initialize layers of tensorized neural networks and general tensor network algorithms using partial computations of their Frobenius norms and positive…
quant-ph2023
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…