Generalized Quantum Search Hamiltonian

الأصل · EN

There are hamiltonians that solve a search problem of finding one of N items in O(√N) steps. They are hamiltonians to describe an oscillation between two states. In this paper we propose a generalized search hamiltonian, Hg. Then the known search hamiltonians become special cases of Hg. From the generalized search hamiltonian, we present remarkable results that searching with 100% is subject only to the phase factor in Hg and independent to the number of states or initialization.