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

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

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arXiv · 2501.17003

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

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

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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.

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James Hancock, Matthew J. Craven, Craig McNeile, Davide Vadacchino. 2025-01-28. Quantum Phase Transition of Non-Hermitian Systems using Variational Quantum Techniques. https://arxiv.org/abs/2501.17003

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