Chemistry on quantum computers with virtual quantum subspace expansion
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Open Access Publications from the University of California

Chemistry on quantum computers with virtual quantum subspace expansion

  • Author(s): Urbanek, Miroslav;
  • Camps, Daan;
  • Van Beeumen, Roel;
  • Jong, Wibe A de
  • et al.

Several novel methods for performing calculations relevant to quantum chemistry on quantum computers have been proposed but not yet explored experimentally. Virtual quantum subspace expansion [T. Takeshita et al., Phys. Rev. X 10, 011004 (2020)] is one such algorithm developed for modeling complex molecules using their full orbital space and without the need for additional quantum resources. We implement this method on the IBM Q platform and calculate the potential energy curves of the hydrogen and lithium dimers using only two qubits and simple classical post-processing. A comparable level of accuracy would require twenty qubits with previous approaches. We also develop an approach to minimize the impact of experimental noise on the stability of a generalized eigenvalue problem that is a crucial component of the algorithm. Our results demonstrate that virtual quantum subspace expansion works well in practice.

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