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Although spin is a core property in fermionic systems, its symmetry can beeasily violated in a variational simulation, especially when strong correlationplays a vital role therein. In this study, we will demonstrate that the brokenspin-symmetry can be restored exactly in a quantum computer, with littleoverhead in circuits, while delivering additional strong correlation energywith the desired spin quantum number. The proposed scheme permits drasticreduction of a potentially large number of measurements required to ensurespin-symmetry by employing a superposition of only a few rotated quantumstates. Our implementation is universal, simple, and, most importantly,straightforwardly applicable to any ansatz proposed to date.

Spin-projection for quantum computation: A low-depth approach to strong correlation