Quantum phase estimation for a class of generalized eigenvalue problems

Quantum phase estimation provides a path to quantum computation of solutions to Hermitian eigenvalue problems Hv=\ensuremath{\lambda}v such as those occurring in quantum chemistry. It is natural to ask whether the same technique can be applied to generalized eigenvalue problems Av=\ensuremath{\lambda}Bv which arise in many areas of science and engineering. We answer this question affirmatively. A restricted class of generalized eigenvalue...