Solvers

Solvers are used to numerically calculate the time evolution of state vectors. They perform steps in time by integrating the time-dependent Schrodinger equation.

class qibo.solvers.BaseSolver(dt, hamiltonian)

Basic solver that should be inherited by all solvers.

Parameters:

• dt (float) – Time step size.

• hamiltonian (qibo.hamiltonians.abstract.AbstractHamiltonian) – Hamiltonian object that the state evolves under.

property t

Solver’s current time.

class qibo.solvers.TrotterizedExponential(dt, hamiltonian)

Solver that uses Trotterized exponentials.

Created automatically from the qibo.solvers.Exponential if the given Hamiltonian object is a qibo.hamiltonians.hamiltonians.SymbolicHamiltonian.

class qibo.solvers.Exponential(dt, hamiltonian)

Solver that uses the matrix exponential of the Hamiltonian:

\[U(t) = e^{-i H(t) \delta t}\]

Calculates the evolution operator in every step and thus is compatible with time-dependent Hamiltonians.

class qibo.solvers.RungeKutta4(dt, hamiltonian)

Solver based on the 4th order Runge-Kutta method.

class qibo.solvers.RungeKutta45(dt, hamiltonian)

Solver based on the 5th order Runge-Kutta method.