This paper introduces QuanTree v1.1 and QuanLin v1.1, two Java applications available for free. (Source code included in the distribution.) Each application compiles a different type of input quantum evolution operator. The applications output a quantum circuit that is approximately equal to the input evolution operator. QuanTree compiles an input evolution operator whose Hamiltonian is proport...

Several studies on the variations of the crossover operator have shown that each of them presents speci£c properties that are interesting under particular circumstances. The advantages of each operator over others are often contradictory and the best operator depends on the problem being solved. This paper is based on the assumption that a combination of several crossover operators can take adv...

We study the eigenvalues of the discrete Schrödinger operator with a complex potential. We obtain bounds on the total number of eigenvalues in the case where V decays exponentially at infinity.

Quantum mechanics of a particle in an infinite square well under the influence of a time-dependent electric field is reconsidered. In some gauge, the Hamiltonian depends linearly on the momentum operator which is symmetric but not self-adjoint when defined on a finite interval. In spite of this symmetric part, the Hamiltonian operator is shown to be self-adjoint. This follows from a theorem by ...

In quantum mechanics, any quantum state ‘vector’ | i may be expanded as a linear superposition of the eigenvectors of any Hermitian operator | i = P n an|ni. This is the Expansion Principle of quantum mechanics. For most problems, the Hermitian operator of choice is the Hamiltonian operator Ĥ = (p̂/2m0) + V (r), but it need not be. We choose the Hamiltonian operator since there exist a few probl...

We address the issue of when generalized quantum dynamics, which is a classical symplectic dynamics for noncommuting operator phase space variables based on a graded total trace Hamiltonian H, reduces to Heisenberg picture complex quantum mechanics. We begin by showing that when H = TrH , with H a Weyl ordered operator Hamiltonian, then the generalized quantum dynamics operator equations of mot...