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

James Hancock; Matthew J. Craven; Craig McNeile; Davide Vadacchino

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

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Abstract

The motivation for studying non-Hermitian systems and the role of $\mathcal{PT}$-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
Publisher	arXiv
Publication status	Published - 28 Jan 2025

Keywords

quant-ph
hep-lat
81P45, 81T30, 68Q12
F.1.1

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2501.17003v1Final published version, 538 KB

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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 \$\textbackslash{}mathcal\{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. ",

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author = "James Hancock and Craven, \{Matthew J.\} and Craig McNeile and Davide Vadacchino",

note = "Proceedings for LFT conference poster, 10 pages, 3 figures",

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

AU - Hancock, James

AU - Craven, Matthew J.

AU - McNeile, Craig

AU - Vadacchino, Davide

N1 - Proceedings for LFT conference poster, 10 pages, 3 figures

PY - 2025/1/28

Y1 - 2025/1/28

N2 - The motivation for studying non-Hermitian systems and the role of $\mathcal{PT}$-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 $\mathcal{PT}$-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 - quant-ph

KW - hep-lat

KW - 81P45, 81T30, 68Q12

KW - F.1.1

UR - https://pearl.plymouth.ac.uk/secam-research/2116/

M3 - Preprint

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

PB - arXiv

ER -

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

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Keywords

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

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