qutip

QuTiP solves time evolution for quantum systems using the Schrödinger equation for closed systems and master equations for open systems. It provides multiple solvers—sesolve for unitary dynamics and mesolve for dissipative dynamics—that integrate your Hamiltonian and collapse operators over a time list to compute state trajectories and expectation values.

Yes, QuTiP handles open quantum systems through master equations, Monte Carlo trajectory solvers, and Lindblad operators. You specify collapse operators representing dissipation channels, and QuTiP computes the evolution of density matrices accounting for environmental effects.

QuTiP visualizes quantum states and dynamics via Bloch sphere plots, Wigner functions, and distribution plots. These tools help interpret superposition, entanglement, and phase-space representations of quantum states throughout your simulation.

QuTiP computes expectation values, entropies, fidelities, and entanglement measures directly from quantum states and operators. Pass density matrices or ket vectors to functions like entropy_vn() or concurrence() to quantify quantum correlations and purity.

QuTiP includes advanced solvers for periodic systems via Floquet theory and the Hierarchy Equation of Motion (HEOM) for complex non-Markovian dynamics. These methods extend beyond standard Schrödinger and master equation approaches for specialized quantum scenarios.

Yes, QuTiP supports tensor products to construct multi-qubit and composite systems from basis states and operators. You can create kets, bras, and density matrices for any Hilbert space dimension and combine them to model entangled and product states.