Abstract

We consider the task of identifying phase transitions in low temperature states in systems on a lattice described by a parameterised family of spin Hamiltonians with no known order parameters given access to an oracle producing bit strings representing the Z-basis measurement of such states. For fixed finite system size such phase transitions are typically reflected by maxima of fidelity susceptibility. Given only the access to bit strings we can only hope to estimate the classical fidelity susceptibility. Here we show the conditions under which classical fidelity susceptibility matches the full fidelity susceptibility and demonstrate a machine learning based method for determining the classical fidelity susceptibility from a dataset of bit strings or an access to an oracle able to produce such bit strings. We investigated numerically the performance of the methods on a few toy models including the Transverse Field Ising Model …

Metadata

publication

APS March Meeting Abstracts 2023, T60. 010, 2023

year

2023

publication date

2023

authors

Victor Kasatkin, Itay Hen, Nic Ezzell, Utkarsh Mishra, Daniel Lidar, Lalit Gupta, Evgeny Mozgunov

link

https://ui.adsabs.harvard.edu/abs/2023APS..MART60010K/abstract

journal

APS March Meeting Abstracts

volume

2023

pages

T60. 010