A general method to implement an arbitrary unitary operator in quantum computation
Jae‐Hyun Kim, J. S. Lee, Soonchil Lee · arXiv (Cornell University) · 1999
It has been proved that an arbitrary unitary operation can be performed by a quantum computer but a general implementation procedure is not known yet. We present a general method which expresses an unitary operator by the product of operators allowed by Hamiltonians. In this method, the generator of an operator is found first, and then the generator is expanded by the base operators of the product operator formalism. Finally, the base operators disallowed by the Hamiltonian of a quantum computer, including more than 2-body interaction operators, are substituted with allowed ones by the axes transformation and coupling order reduction technique.