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Peace & justice"},"provenance":null},{"subject":{"scheme":"keyword","value":"Quantum Physics (quant-ph)"},"provenance":null},{"subject":{"scheme":"FOS","value":"01 natural sciences"},"provenance":null}],"mainTitle":"Quantum algorithms for inverse participation ratio estimation in multiqubit and multiqudit systems","subTitle":null,"descriptions":["Inverse Participation Ratios (IPRs) and the related Participation Entropies quantify the spread of a quantum state over a selected basis of the Hilbert space, offering insights into the equilibrium and non-equilibrium properties of the system. In this work, we propose three quantum algorithms to estimate IPRs on multi-qubit and multi-qudit quantum devices. The first algorithm allows for the estimation of IPRs in the computational basis by single-qubit measurements, while the second one enables measurement of IPR in the eigenbasis of a selected Hamiltonian, without the knowledge about the eigenstates of the system. 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