QUANTUM NUMBER PRESERVING CIRCUITS FOR PREPARING QUANTUM STATES REPRESENTING FERMIONS IN COMPUTATIONAL UNITS-BASED QUANTUM COMPUTERS

摘要

A method for preparing states on a quantum computer with given particle number and total spin squared quantum numbers by means of parametrized gates. Explicit decompositions of these gates are given for an embodiment of the method where fermions are mapped to the computational units of the quantum computer by means of a Jordan-Wigner mapping. As an example, the method is advantageous for the variational optimization of energies of chemical systems and the quantum computation of activation energies of chemical reactions.