A method of constructing second-quantization formalism on a set of orthonormal geminals (two-particle antisymmetric functions) is described. Instead of using an initial set of creation and annihilation operators with nontrivial commutation rules, the so-. -called ideal creation and annihilation operators, satisfying elementary Bose commutation rules, are used. The resulting Hamiltonian and an a...

In this article, we have calculated some thermodynamic properties for a system consisting of singy ionized 3He atoms and their corresponding removed electrons by employing the second quantization method at finite temperature. To perform the calculations, we have considered the kinetic term, and Coulomb interaction between the particles in our Hamiltonian. The calculated properties are free ener...

In this work, we present a quantum algorithm for ground-state energy calculations of periodic solids on error-corrected computers. The is based the sparse qubitization approach in second quantization and developed Bloch Wannier basis sets. We show that functions require less computational resources with respect to because: (i) L$_1$ norm Hamiltonian considerably lower (ii) translational symmetr...