In order be simulated, multi-dimensional quantum systems need to be mapped to one-dimension: one can achieve this mapping by using the Hilbert curve. In this work the focus is to implement a Hilbert curve generator to study the ground-state properties while transitioning from a two-dimensional system to a three-dimensional one.

Hilbert curve mapping for 3d-systems tensor network algorithms

COSTANTINI, AURORA
2021/2022

Abstract

In order be simulated, multi-dimensional quantum systems need to be mapped to one-dimension: one can achieve this mapping by using the Hilbert curve. In this work the focus is to implement a Hilbert curve generator to study the ground-state properties while transitioning from a two-dimensional system to a three-dimensional one.
2021
Hilbert curve mapping for 3d-systems tensor network algorithms
Hilbert curve
Tensor network
Python
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12608/41583