Quantum Phase Transition of Non-Hermitian Systems using Variational Quantum Techniques

James Hancock; Matthew Craven; Craig McNeile; Davide Vadacchino

doi:10.22323/1.466.0440

Quantum Phase Transition of Non-Hermitian Systems using Variational Quantum Techniques

James Hancock^*
, Matthew Craven
, Craig McNeile
, Davide Vadacchino

^*Corresponding author for this work

School of Engineering, Computing and Mathematics

Research output: Contribution to conference › Conference paper (not formally published)

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Abstract

The motivation for studying non-hermitian systems and the role of PT-symmetry is discussed. We investigate the use of a quantum algorithm to find the eigenvalues and eigenvectors of non-Hermitian Hamiltonians, with applications to quantum phase transitions. We use a recently proposed variational algorithm. The systems studied are the transverse Ising model with both a purely real and a purely complex transverse field.

Original language	English
DOIs	https://doi.org/10.22323/1.466.0440
Publication status	E-pub ahead of print - 5 Feb 2025
Event	The 41st International Symposium on Lattice Field Theory (LATTICE2024) - Liverpool, United Kingdom Duration: 28 Jul 2025 → 3 Aug 2025

Conference

Conference	The 41st International Symposium on Lattice Field Theory (LATTICE2024)
Country/Territory	United Kingdom
City	Liverpool
Period	28/07/25 → 3/08/25

ASJC Scopus subject areas

Nuclear and High Energy Physics

Keywords

Quantum computing
Non-Hermitian physics
High energy

Access to Document

10.22323/1.466.0440

LATTICE2024_440 (1)Final published version, 546 KBLicence: CC BY-NC-ND

Cite this

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title = "Quantum Phase Transition of Non-Hermitian Systems using Variational Quantum Techniques",

abstract = "The motivation for studying non-hermitian systems and the role of PT-symmetry is discussed. We investigate the use of a quantum algorithm to find the eigenvalues and eigenvectors of non-Hermitian Hamiltonians, with applications to quantum phase transitions. We use a recently proposed variational algorithm. The systems studied are the transverse Ising model with both a purely real and a purely complex transverse field.",

keywords = "Quantum computing, Non-Hermitian physics, High energy",

author = "James Hancock and Matthew Craven and Craig McNeile and Davide Vadacchino",

year = "2025",

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day = "5",

doi = "10.22323/1.466.0440",

language = "English",

note = "The 41st International Symposium on Lattice Field Theory (LATTICE2024) ; Conference date: 28-07-2025 Through 03-08-2025",

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T1 - Quantum Phase Transition of Non-Hermitian Systems using Variational Quantum Techniques

AU - Hancock, James

AU - Craven, Matthew

AU - McNeile, Craig

AU - Vadacchino, Davide

PY - 2025/2/5

Y1 - 2025/2/5

N2 - The motivation for studying non-hermitian systems and the role of PT-symmetry is discussed. We investigate the use of a quantum algorithm to find the eigenvalues and eigenvectors of non-Hermitian Hamiltonians, with applications to quantum phase transitions. We use a recently proposed variational algorithm. The systems studied are the transverse Ising model with both a purely real and a purely complex transverse field.

AB - The motivation for studying non-hermitian systems and the role of PT-symmetry is discussed. We investigate the use of a quantum algorithm to find the eigenvalues and eigenvectors of non-Hermitian Hamiltonians, with applications to quantum phase transitions. We use a recently proposed variational algorithm. The systems studied are the transverse Ising model with both a purely real and a purely complex transverse field.

KW - Quantum computing

KW - Non-Hermitian physics

KW - High energy

UR - https://pearl.plymouth.ac.uk/secam-research/2156/

U2 - 10.22323/1.466.0440

DO - 10.22323/1.466.0440

M3 - Conference paper (not formally published)

T2 - The 41st International Symposium on Lattice Field Theory (LATTICE2024)

Y2 - 28 July 2025 through 3 August 2025

ER -

Quantum Phase Transition of Non-Hermitian Systems using Variational Quantum Techniques

Abstract

Conference

ASJC Scopus subject areas

Keywords

Access to Document

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Quantum Phase Transition of Non-Hermitian Systems using Variational Quantum Techniques

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