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Abstract: We propose a quantum algorithm for finding eigenvalues of non-unitarymatrices. We show how to construct, through interactions in a quantum systemand projective measurements, a non-Hermitian or non-unitary matrix and obtainits eigenvalues and eigenvectors. This proposal combines ideas of frequentmeasurement, measured quantum Fourier transform, and quantum state tomography.It provides a generalization of the conventional phase estimation algorithm,which is limited to Hermitian or unitary matrices.



Author: Hefeng Wang, Lian-Ao Wu, Yu-xi Liu, Franco Nori

Source: https://arxiv.org/







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