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20232025
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quant-ph2025

Optimizing two-dimensional isometric tensor networks with quantum computers

Sebastian Leontica, Alberto Baiardi, Julian Schuhmacher +2

We propose a hybrid quantum-classical algorithm for approximating the ground state of two-dimensional quantum systems using an isometric tensor network ansatz, which maps naturally…

quant-ph2025

An unbiased measure over the matrix product state manifold

Sebastian Leontica, Andrew G. Green

Matrix product states are useful representations for a large variety of naturally occurring quantum states. Studying their typical properties is important for understanding univers…

quant-ph2024

Zero-point energy of tensor fluctuations on the MPS manifold

Sebastian Leontica, Andrew G. Green

This work presents a method for studying low-energy physics in highly correlated magnetic systems using the matrix product state (MPS) manifold. We adapt the spin-wave approach, wh…

quant-ph2024

Entanglement growth from squeezing on the MPS manifold

Sebastian Leontica, Andrew G. Green

Finding suitable characterizations of quantum chaos is a major challenge in many-body physics, with a central difficulty posed by the linearity of the Schrödinger equation. A possi…

quant-ph2023

Purification Dynamics in a Continuous-time Hybrid Quantum Circuit Model

Sebastian Leontica, Max McGinley

We introduce a continuous time model of many-body quantum dynamics based on infinitesimal random unitary operations, combined with projective measurements. We consider purification…