The paper proposes an eigenstate filtering (EF) variant of quantum inverse power iteration (QIPI) that uses symmetric QSVT polynomials to robustly target excited states, showing better convergence than Chebyshev or Fourier approaches on H2, LiH, and BeH2.
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Efficient targeting of arbitrary excited states with quantum inverse power iteration through filtering polynomials
The paper proposes an eigenstate filtering (EF) variant of quantum inverse power iteration (QIPI) that uses symmetric QSVT polynomials to robustly target excited states, showing better convergence than Chebyshev or Fourier approaches on H2, LiH, and BeH2.