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

2025/01/28 by Hancock, James, Craven, Matthew J., McNeile, Craig +1 · 1 citation
#68Q12 #81P45 #81T30 #F.1.1 #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2501.17003

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.

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