Implementation of quantum logical gates for multilevel systems is demonstrated through decoherence control under the quantum adiabatic method using simple phase modulated laser pulses. We make use of selective population inversion and Hamiltonian evolution with time to achieve such goals robustly instead of the standard unitary transformation language.Use of adiabatic evolution for quantum computation has recently become an attractive approach due to its inherent robustness [1][2][3][4]. In the framework of the adiabatic quantum method, logical implementation of quantum gates uses the language of ground states, spectral gaps and Hamiltonians wherein a quantum gate represents a device which performs a unitary transformation on selected qubits in a fixed period of time. Thus, a computational procedure in the adiabatic quantum computation model is described by the continuous time evolution of a time-dependent Hamiltonian with limited energetic resources-an aspect that is often neglected in the unitary gate language [5].In this letter, we show that an important aspect of the adiabatic quantum computation model lies in addressing an atomic or molecular ensemble and hence in robust implementation. We first demonstrate a simple Hadamard operation with phase modulated laser pulses. Next we show how selective population transfer in a three-level system that has also been demonstrated experimentally [6,7] can be a very useful adiabatic quantum computing logic. Finally, we show that it is possible to decouple states that are parts of the coupled vibrational relaxation tier into simple qubits through control of decoherence through adiabatic coupling. As far as we know, these results are the first realistic demonstration of the possibility of using ensemble states for adiabatic quantum computation in multilevel systems.We apply a linearly polarized laser pulse of the form E(t) = ɛ(t) e i[ωt+φ(t)] to a simple twolevel system with |1〉 → |2〉 transition, where |1〉 and |2〉 represent the ground and excited eigenlevels, respectively, of the field-free Hamiltonian. The laser carrier frequency or the centre frequency for pulsed lasers is ω. We have ɛ(t) and φ(t) as the instantaneous amplitude and phase, respectively. We can define the rate of change of instantaneous phase, , as the frequency sweep. If we expand the instantaneous phase function of E(t) as a Taylor series with constants b n , we have In a recent paper [8], we have proposed the use of simple chirped pulses, which, by contrast, have been produced routinely at very high intensities and at various different wavelengths for many applications, including selective excitation of molecules in coherent control. Establishing this generalization enables us to treat all possible chirped pulse cases by exploring the effects of each of the terms in equation (1) initially for a simple two-level system and then extend it to the multilevel situation for a model five-level system of anthracene molecule, which has been previously investigated with complicated shapedpulses [9,10]. ...