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

• URL: http://arxiv.org/abs/2501.17003v1
• Date: Tue, 28 Jan 2025 14:58:50 GMT
• Title: Quantum Phase Transition of Non-Hermitian Systems using Variational Quantum Techniques
• Authors: James Hancock, Matthew J. Craven, Craig McNeile, Davide Vadacchino,
• Abstract summary: We investigate the use of a quantum algorithm to find the eigenvalues and eigenvectors of non-Hermitian Hamiltonians. The systems studied are the transverse Ising model with both a purely real and a purely complex transverse field.
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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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